skymizer/llm-eval-questions · Datasets at Hugging Face

id int64 122 12.3k	question stringlengths 23 1.27k	source stringclasses 2 values	category stringclasses 15 values
4,838	The significance of Frere's discovery was that what he found was located:	mmlu_pro	history
2,638	In Bandura's social learning theory, the concept of seif-reinforcement is critical for explaining how in the absence of external reward	mmlu_pro	psychology
11,584	The normal boiling point of water is 9720 cal/mole. Calculate the heat of vaporization at 35°C and 1 atm. Use thefollowing C_p values to solve the problem. C_p Values forH_2O(1); C_p = 18.06 cal deg^-1 mole^-1 (independentof temperature) forH_2O(g); C_p = 7.219 + 2.374(10^-3)T + 2.67(10^-7)T^2 caldeg^-1 mole^-1	mmlu_pro	engineering
8,590	Mr. Patrick is preparing a five-question true-false quiz for his class. He flips a coin before writing the first question. If it is heads, he writes a true statement and if it is tails, he writes a false statement. He continues this until all five statements are written. What is the probability that the correct sequence of answers is TFTFT ? Express your answer as a common fraction.	mmlu_pro	math
2,655	While driving to school, Elise hears about a concert ticket giveaway on the radio. She has to be the seventh caller to win. While pulling over so that she can call in, she repeats the number to herself several times. Elise was using which of the following to remember the phone number?	mmlu_pro	psychology
11,533	Air is flowing over a 5-row tube bank. The air enters the enclosing duct at a temperature of 60°F, and it leaves at 100°F. The air flow is 500 ft^3/min, and is at atmospheric pressure. The tubes have a diameter of 1 in. and a length of 4 ft. They are staggered, with the longitudinal and transverse spacing ratio of Z. The outside wall surface temperature is 227°F. If the minimum free flow cross-sectional area is 1.667 ft^2, calculate the coefficient of heat transfer. Table 1: Ratio of mean heat-transfer coefficient for bank of tubes N rows deep to the coefficient for tubes in a single row. N 1 2 3 4 5 6 7 8 9 10 Triangular grid 1 1.10 1.22 1.31 1.35 1.40 1.42 1.44 1.46 1.47 Square grid 1 1.25 1.36 1.41 1.44 1.47 1.50 1.53 1.55 1.56	mmlu_pro	engineering
8,709	If A is the 2 by 2 matrix whose (i, j) entry is equal to i + j, and B is the 3 by 3 matrix whose (i, j) entry is equal to i + j, find the value of the sum detA + detB.	mmlu_pro	math
11,688	(a) If q = -10^-7 e-(10)5 tC, find the average current during the time from t = - 5\mus to + 5\mus. Given i = 12cos[1000t + (\pi/6)]A; (b) Find the average current during the interval, 0 < t < (\pi/3) ms; (c) Determine the total charge transferred between t = 0 and t = (2\pi / 3)ms.	mmlu_pro	engineering
4,108	Use the van der Waals parameters for chlorine to calculate approximate values of the Boyle temperature of chlorine.	mmlu_pro	chemistry
6,220	Which of the following conditions is a peroxisomal disorder?	mmlu_pro	health
11,595	An air-water-vapor mixture at 1atmand 75°F has a relative humidity of 0.45. For this mixture, calculate the specific humidity, the dew point and the partial pressures.	mmlu_pro	engineering
9,328	A curve with a 120 m radius on a level road is banked at the correct angle for a speed of 20 m/s. If an automobile rounds this curve at 30 m/s, what is the minimum coefficient of static friction needed between tires and road to prevent skidding?	mmlu_pro	physics
6,586	Lassa and Ebola are emergent viruses in W. Africa. What is their origin?	mmlu_pro	health
9,144	A charge distribution that is spherically symmetric but not uniform radially produces an electric field of magnitude $E=K r^4$, directed radially outward from the center of the sphere. Here $r$ is the radial distance from that center, and $K$ is a constant. What is the volume density $\rho$ of the charge distribution?	mmlu_pro	physics
1,251	A buyer bought a large, nicely kept house near a university campus. She was able to buy the house for a very good price because it was located directly across the street from a fraternity house known for its frequent late-night parties. The buyer knew of the fraternity's reputation before she bought the house. The reputation was well deserved, and the buyer found the noise from the parties extremely unpleasant and disruptive. The buyer has asked an attorney for legal advice regarding a possible nuisance claim against the fraternity. Which of the following responses would best express the applicable law?	mmlu_pro	law
6,385	Which of the following statements about proteolysis is correct?	mmlu_pro	health
1,765	An art collector attended a party on March 15. At the party, the art collector was describing his collection to a woman in attendance. When the art collector described a painting by a well-known artist, the woman indicated she might like to buy that painting. The art collector said, "I'll sell you the painting for $10,000. I'll give you 30 days to decide whether you want the painting. " On March 25, the art collector wrote to the woman and stated that the offer of March 15 was withdrawn. The woman received the March 25 letter on March 26. On March 27, the woman wrote the art collector the following letter:"Please be advised that I hereby accept your offer of March 15. " The art collector received this letter on March28. Thereafter, the art collector and the woman engaged in several telephone discussions. On April 10, the woman, in a telephone conversation, told the art collector that she would pay $15,000 if the painting was delivered on or before April 15. The art collector agreed to deliver the painting for $15,000. On April 15, the art collector tendered the painting, but the woman refused to pay more than $10,000. If the art collector asserts a claim against the woman for breach of contract, which of the following is the most accurate statement?	mmlu_pro	law
6,846	Which of the following statements are true concerning the autocorrelation function (acf) and partial autocorrelation function (pacf)? i) The acf and pacf will always be identical at lag one whatever the model ii) The pacf for an MA(q) model will in general be non-zero beyond lag q iii) The pacf for an AR(p) model will be zero beyond lag p iv) The acf and pacf will be the same at lag two for an MA(1) model	mmlu_pro	economics
11,360	The solid angle subtended by an area of 2400 cm^2 on the surface of a sphere of diameter 1.2 m is	mmlu_pro	engineering
9,725	Mercury orbits the sun in about one-fifth of an Earth year. If 1 AU is defined as the distance from the Earth to the sun, what is the approximate distance between Mercury and the sun?	mmlu_pro	physics
9,669	A thin lens of 50 mm focal length has a diameter of 4 cm. A stop with a circular opening of 2 cm is placed 3 cm to the left of the lens, and an axial point object is located 20 cm to the left of the stop. 1) Which of the two, the aperture stop or the lens aperture, limits the light passing through the system? 2) What is the effective f-number of the system? 3) At what distance from the lens is the exit pupil located?	mmlu_pro	physics
10,886	William Safire in American Heritage Magazine (December 1987): ...The greatness of Lincoln was his purposefulness. He saw something that few others saw: that the democratic experiment centered on the Union and that majority rule was everything. The minute you allowed secession, you made democracy an absurdity---because what would happen would be continued subdivision.	mmlu_pro	philosophy
6,624	What is food security?	mmlu_pro	health
2,941	In plants, which tissue is responsible for new growth?	mmlu_pro	biology
11,812	Which of these sets of logic gates are designated as universal gates?	mmlu_pro	engineering
8,850	what is the value of \int_a^b \frac{dx}{\sqrt{(x-a)(b-x)}}? Round the answer to the thousands decimal.	mmlu_pro	math
2,104	Which of the following illustrates why most people can detect the difference between Coke and Pepsi most of the time?	mmlu_pro	psychology
5,393	What is the loudest animal on earth?	mmlu_pro	other
656	Owens Company accepted a draft, 90-day sight, amounting to $560 drawn on them by Watts Bros. Watts Bros, had the draft discounted 34 days before the due date at 6%. What were the proceeds?	mmlu_pro	business
6,247	A 15-year-old girl is brought to the physician 3 months after she had a blood pressure of 150/95 mm Hg at a routine examination prior to participation in school sports. She is asymptomatic and has no history of serious illness. Twelve months ago, she was diagnosed with a urinary tract infection and treated with oral trimethoprim-sulfamethoxazole. She currently takes no medications. Subsequent blood pressure measurements on three separate occasions since the last visit have been: 155/94 mm Hg, 145/90 mm Hg, and 150/92 mm Hg. She is at the 50th percentile for height and 95th percentile for weight. Her blood pressure today is 150/90 mm Hg confirmed by a second measurement, pulse is 80/min, and respirations are 12/min. Examination shows no other abnormalities. Her hematocrit is 40%. Urinalysis is within normal limits. Cardiac and renal ultrasonography shows no abnormalities. Which of the following is the most appropriate next step in management?	mmlu_pro	health
228	Tim is a salesman who earns a guaranteed salary of $4800/year plus 4% of all sales up to $12,000; 5% of sales from $12,000 to $20,000; 6% of sales over $20,000 in any month. Last month Tim's sales were $21,750. Compute his gross earnings for last month.	mmlu_pro	business
491	Mr. and Mrs. Golden have just purchased a new home. After sellingtheir own house, they find that they still need an additional$18,000 to pay for the new house. They borrow the$18,000 at 6% for a term of 20 years. What is thefirst monthlypayment of their loan?	mmlu_pro	business
2,899	How does the body control the amount of water excreted?	mmlu_pro	biology
11,209	Which of the following is another name for the fallacy of amphiboly?	mmlu_pro	philosophy
2,291	Dr. Ramchandran found that his patients who brushed their teeth after lunch had 1/20 the number of cavities in their teeth as those who didn't. After interviewing the dentist, a local newswriter reports that brushing teeth after lunch prevents cavities. Based on the dentist's research, which of the following statements is true?	mmlu_pro	psychology
5,676	A person with a rating of 4 on the Kinsey scale would be classified as:	mmlu_pro	other
6,344	The pattern of inheritance shown by glucose-6-phosphate dehydrogenase (G6PD) deficiency is:	mmlu_pro	health
9,181	(a) What is the magnitude of the electric field at a distance of 1\AA (= 10^\rule{1em}{1pt}8 cm) from a proton? (b) What is the potential at this point? (c) What is the potential difference, in volts, between positions 1 and 0.2 \AA from a proton?	mmlu_pro	physics
755	Providing free samples of perfumes (scent) in magazines is an example of which of the following?	mmlu_pro	business
2,443	Studies show that the effect of the presence of others on an individual's performance is to	mmlu_pro	psychology
11,417	Air at one atm. and 90°F moves at 140 ft/sec across a flat plate of length 3 ft. The temperature at the sur-face of the plate is 450°F. For a 1 ft. width, deter-mine the heat loss from the entire plate, and also the heat loss from the laminar and turbulent sections of the boundary layer. Then, assuming that the boundary layer is completely turbulent, calculate the heat loss.	mmlu_pro	engineering
2,610	Discuss the function of a theory of personality.	mmlu_pro	psychology
4,352	What is the temperature of a two-level system of energy separation equivalent to $400 \mathrm{~cm}^{-1}$ when the population of the upper state is one-third that of the lower state?	mmlu_pro	chemistry
7,768	How many paths are there from the origin (0,0) to the point (10,10) on a grid such that the path only moves up or right and does not cross the diagonal line y = x?	mmlu_pro	math
2,150	A ten-year-old boy, tested with a paper-and-pencil intelligence test, obtained an IQ score of 130. Two years later, he was tested with an alternate form of the same test. Most likely, the obtained score on the second testing would be	mmlu_pro	psychology
9,200	What is the centripetal force required to cause a 3200 pound car to go around a curve of 880-ft radius at a speed of 60 mph?	mmlu_pro	physics
4,706	What do the amounts of rainfall in the Maya homeland, as reflected in variations in oxygen isotopes in a stalagmite in Yok Balum Cave in Belize, correspond to?	mmlu_pro	history
1,749	A brick mason was hired by a builder under a written one-year contract, at an annual salary of $45,000, with employment to begin on March 1. Because the builder was unable to secure enough building contracts to keep all its employees busy during the season beginning March 1, it notified the brick mason on February 15 that it could not afford to employ him as a mason. At the same time, however, the builder offered to employ the mason, for the same contract period, as a night guard at an annual salary of $25,000. The mason declined the offer and remained unemployed during the year. No offer and remained unemployed during the year. No employment for brick masons was available in the community during the year, but the mason could have obtained other employment as a day laborer that would have paid up to $25,000 a year. At the end of the year, in an action against the builder for breach of contract, how much, if anything, is the mason entitled to recover?	mmlu_pro	law
3,413	Describe the function of the lateral-line system in fishes.	mmlu_pro	biology
7,385	One of the reasons Adam Smith supported the Free Market was because he believed that what is good for the individual is good for the country. So, since everyone would like to choose what they want to buy, it must be good for the country to give everyone free choice. Identify the error in Smith's logic and give a counter example.	mmlu_pro	economics
6,331	The coding sequences of genes are called:	mmlu_pro	health
5,248	Which of the following has reduced the power of political parties?	mmlu_pro	other
9,215	The loudness of a sound is most closely related to its	mmlu_pro	physics
9,397	A certain weight of alcohol has a volume of 100 cm^3 at 0°C. What is its volume at 50°C?	mmlu_pro	physics
3,891	The specific rate constant, k, for a certain first-order reaction is 86 h^-1. What mass of a 0.0500 g sample of starting material will remain after 58 s?	mmlu_pro	chemistry
9,711	During the takeoff roll, a Boeing 747 jumbo jet is accelerating at 4 m/sec^2. If it requires 40 sec to reach takeoff speed, determine the takeoff speed and how far the jet travels on the ground.	mmlu_pro	physics
11,989	Given x = [(3x_0y_0t^2) / z_0], y = [(5x_0z_0t) / y_0], z = [(2y_0z_0t^3) / x_0] findthe velocity of the fluid particle and acceleration at x_0= 1 cm, y_0 = 2 cm, z_0 = 3 cm at t = 2.	mmlu_pro	engineering
6,668	A healthy 22-year-old man participates in a study of glucose metabolism. At the beginning of the study, his serum glucose concentration is within the reference range. He consumes an 800-calorie meal consisting of protein, fat, and carbohydrates. He then sleeps through the night without additional food or drink. Twelve hours later, his serum glucose concentration remains within the reference range. Which of the following mechanisms is most likely involved in maintaining this man's serum glucose concentration?	mmlu_pro	health
985	In 2006, an investor purchased a 100-acre tract located in a rural county. Shortly thereafter, the investor prepared a subdivision plan that created 90 one-acre residential building lots on this tract with the remaining 10-acre lot proposed for a public school building. In the investor's sales brochure promoting the subdivision, he stated that "in addition to the close proximity of the proposed school for subdivision residents, the county school district would not need to expend tax money to acquire this property for school construction. " In 2007, the subdivision plan was recorded with the county recorder's office. On January 15, 2009, the county school board voted to build a new school on the 10-acre tract. The investor's proposed designation of the 1 0-acre tract for construction of a school building would best be described as a (an)	mmlu_pro	law
1,538	The board of a state university has adopted the following rule concerning residency requirements:"A student will be considered a legal resident of the state for the purpose of registering at the university if such person is over the age of 21 and has established a legal residence in the state for at least one year next preceding the last day of registration for credit. "A student moved to the state and immediately enrolled at the state university. Since he did not fulfill the university residency requirement, the student was required to pay $1,800 tuition each semester, which was $400 more than the tuition of state resident-students. In an action by the student challenging the constitutionality of the provision governing the determination of residency for the purpose of fixing a fee differential for out-of-state students in public college, the court will most likely declare the provision	mmlu_pro	law
10,688	One approach to handling fuzzy logic data might be to design a computer using ternary (base-3) logic so that data could be stored as “true,” “false,” and “unknown.” If each ternary logic element is called a flit, how many flits are required to represent at least 256 different values?	mmlu_pro	computer science
738	Mr. Johnson discounted a non-interest bearing draft for $850 due July 12 on July 1 at a discount rate of 5%. Assuming a 365-day year, what were his proceeds?	mmlu_pro	business
9,040	5.6-7. Let $X$ equal the maximal oxygen intake of a human on a treadmill, where the measurements are in milliliters of oxygen per minute per kilogram of weight. Assume that, for a particular population, the mean of $X$ is $\mu=$ 54.030 and the standard deviation is $\sigma=5.8$. Let $\bar{X}$ be the sample mean of a random sample of size $n=47$. Find $P(52.761 \leq \bar{X} \leq 54.453)$, approximately.	mmlu_pro	math
9,056	The emission spectrum of the doubly ionized lithium atom Li++ (Z = 3, A = 7) is identical to that of a hydrogen atom in which all the wavelengths are	mmlu_pro	physics
1,295	What is the effects doctrine?	mmlu_pro	law
12,167	Hydrogen gas is to be heated by means of forced convection in a pipe. This experiment will first be modeled on a smaller scale, using air as the flow component. The prototype specifications are: G_H = 4210lbm/ft^2-hrd_iH= 0.1727 ft L_H = 18.5 ft\mu_H= 0.0242lbm/ft-hr C_pH= 3.4 Btu/lbm-°F while the model will use d_iA= 0.0358 ft\mu_A= 0.047lbm/ft-hr C_pA= 0.24 Btu/lbm-°F Using appropriate relations of similitude, find the required values of L_A, G_A and the ratio (h_H/h_A).	mmlu_pro	engineering
4,453	The mass density of water vapour at $327.6 \mathrm{~atm}$ and $776.4 \mathrm{~K}$ is $133.2 \mathrm{~kg} \mathrm{~m}^{-3}$. Given that for water $T_{\mathrm{c}}=647.4 \mathrm{~K}, p_{\mathrm{c}}=218.3 \mathrm{~atm}, a=5.464 \mathrm{dm}^6 \mathrm{~atm} \mathrm{~mol}^{-2}$, $b=0.03049 \mathrm{dm}^3 \mathrm{~mol}^{-1}$, and $M=18.02 \mathrm{~g} \mathrm{~mol}^{-1}$, calculate the compression factor from the data.	mmlu_pro	chemistry
3,253	What evidence supports the theory that vascular plants evolved directly from green algae, and not from bryophytes?	mmlu_pro	biology
1,509	A truck driver from State A and a bus driver from State B were involved in a collision in State B that injured the truck driver. The truck driver filed a federal diversity action in State B based on negligence, seeking $100,000 in damages from the bus driver. What law of negligence should the court apply?	mmlu_pro	law
3,663	Calculate ∆m, the difference in mass between the final and initial nuclei in grams per mole for the emission of a \gamma ray, ^19_8O\textasteriskcentered (excited state)\rightarrow^19_8O (ground state) + \gamma (∆E = 1.06 × 10^8 Kcal/mole).	mmlu_pro	chemistry
2,934	A stem-boring beetle has laid its eggs in the center of a 5-year-old wood twig, and the eggs have matured into larvae. In proper order (inside to outside), what tissues and tissue regions would the larvae encounter as they eat their way toward the outside of the twig? (For simplicity, assume that the epidermis has already fallen off completely.)	mmlu_pro	biology
3,967	What is the electromotive force (emf) of a system when K, the equilibrium constant for the reaction = Q, the concentration quotient?	mmlu_pro	chemistry
3,421	List and compare the tissues that support and hold together theother tissues of the body.	mmlu_pro	biology
2,135	Dr. Sam Solo is the only psychologist in a small town, and his son is enrolled in the town's only elementary school. Dr. Solo receives a call from his son's teacher who says she would like to begin therapy with him. As an ethical psychologist, Dr. Solo should:	mmlu_pro	psychology
1,479	A man was driving his car when he suddenly hit a pedestrian as she was crossing the street. Following the accident, an ambulance was summoned and the pedestrian was taken to a nearby hospital. The man, who also drove to the hospital, approached the pedestrian in the emergency room while she was being treated for her injuries. When the pedestrian saw the man, she told him, "You went through that red light. You could have killed me. " She then asked the man for $5,000 to cover her anticipated medical expenses. The man replied that he would have to think about it. Shortly thereafter, the man sent a letter to the pedestrian in which he wrote, "I realize I drove through the red light. Naturally, I would like to settle this without any litigation. I'm willing to pay all your medical expenses and give you $2,000 if you don't sue me. " The pedestrian did not accept the man's offer and brought suit against him. At trial, the pedestrian's attorney offers the first sentence of the letter into evidence, and the man objects. The trial judge should rule the evidence	mmlu_pro	law
714	A $98 movie camera can be purchased on the installment plan for 10% down, with the balance over 24 weekly payments of $4 each. What is the annual interest rate?	mmlu_pro	business
8,066	Assuming we are underground, and the only thing we can observe is whether a person brings an umbrella or not. The weather could be either rain or sunny. Assuming the P(rain)=0.6 and P(sunny)=0.4. Assuming the weather on day $k$ is dependent on the weather on day $k-1$. We can write the transition probability as P(sunny $\mid$ sunny) = P(rain $\mid$ rain) = 0.7. The person has 60% chance to bring an umbrella when the weather is rain, and 40% chance to bring an umbrella when the weather is sunny, i.e. P(umbrella $\mid$ rain) = 0.6 and P(umbrella $\mid$ sunny) = 0.4. If we observe that the person (1) brought an umbrella on day 1, (2) did not bring an umbrella on day 2, (3) brought an umbrella on day 3. What is the probability that day 2 is raining?	mmlu_pro	math
785	You can buy a sewing machine selling for $275 net price, or one listed at $320 less a 12(1/2) % discount. Which is the best buy and how much will you save by buying it instead of the other one?	mmlu_pro	business
3,614	Given thatK_spfor Mg(OH)_2 is 1.2 × 10-^11 , calculate the solubility of this compound in grams per 100ml of solution. The reaction equation is Mg(OH)_2 \rightleftarrows Mg+^2 + 2OH- .	mmlu_pro	chemistry
1,165	Billy was charged with grand theft. The trial began on a Thursday afternoon. The jury was empaneled, sworn and released for the day. Since Friday was the Fourth of July, the judge asked the jurors to return on Monday. The trial began again on Monday morning at 8:30. By late evening the judge had instructed the jury. Due to the lateness of the hour, the jurors were sequestered for the evening to allow them to get an early start the next morning. The jurors returned Tuesday morning and were unable to reach a verdict. Unable to reach a verdict, the trial judge allowed the jurors to go home that evening. On Wednesday morning, the jury assembled and returned a verdict of guilty. On appeal, which of the following is Billy's strongest issue for seeking a reversal?	mmlu_pro	law
10,834	A valid disjunctive syllogism has a major premise that:	mmlu_pro	philosophy
4,492	Calculate the heat of formation of CH_4(g) in the reaction: C(graphite) + 2H_2(g) = CH_4(g) , using the reactions below and their given \DeltaH° values CH_4(g) + 2O_2(g) = CO_2(g) + 2H_2O(1) \DeltaH° = -212.80 kcal mole^-1 C(graphite) + C_2 (g) = CO_2 (g)\DeltaH° = -94.05 kcal mole^-1 H_2(g) + (1/2) O_2(g) = H_2O(1)\DeltaH° = -68.32 kcal mole^-1	mmlu_pro	chemistry
12,033	A gas containing 0.05 mass fraction of CO flows into a container at a rate of 250 lb/hr, where it is mixed with preheated air to oxidize the CO to CO_2. The con-tainer radiates 65% of the heat liberated due to com-bustion. Determine the radiation area required if the container attains a temperature of 1500°F. The tempera-ture of the surroundings is 150°F and the heat of com-bustion of CO to CO_2 is 4350 Btu/lb CO. Assume the con-tained and the surroundings to be black bodies.	mmlu_pro	engineering
976	What is personal (ratione personae) immunity?	mmlu_pro	law
5,406	The full-employment gross domestic product is $1.3 trillion, and the actual gross domestic product is $1.2 trillion. The marginal propensity to consume is 0.8. When inflation is ignored, what increase in government expenditures is necessary to produce full employment?	mmlu_pro	other
3,486	In a certain species of flies, the male presents the female witha silken balloon before mating. Explain the evolutionary derivationof this behavior.	mmlu_pro	biology
3,951	What will be the relative concentrations of Zn^+2 and Cu^+2 when the cell Zn; Zn+2II Cu^+2; Cu has completely run down? (E° = 1.10 volts).	mmlu_pro	chemistry
221	John's $200 earns interest at the rate of 5% for one year, compounded quarterly. Show how he would calculate the interest without the aid of a formula or a table.	mmlu_pro	business
3,900	Calculate the standard potential of the $\mathrm{Ce}^{4+} / \mathrm{Ce}$ couple from the values for the $\mathrm{Ce}^{3+} / \mathrm{Ce}$ and $\mathrm{Ce}^{4+} / \mathrm{Ce}^{3+}$ couples.	mmlu_pro	chemistry
1,416	The police arrested a man for the murder of his live-in fiancÃ©e after the woman's dead body was found in the basement of their apartment building. At trial, the prosecution attempted to present the testimony of the victim's out-of-state sister regarding a telephone conversation she had with the defendant. She had called their landline number to talk with her sister on the same day when he had first reported to the police that his fiancÃ© had been missing for five days. The sister had not met the man but had spoken with him briefly a few other times. He told her that her sister "went out all night last night and did not return yet." The prosecution attempted at trial to have the sister testify to the conversation to show the significant discrepancy between his stories to the police and to her. The defense objected, arguing that she couldn't authenticate the conversation because she couldn't identify the speaker as the defendant nor had she ever met him. The prosecution told the court that she felt it was "probably" his voice, which she recollected from the prior talks at the same number. Will the court likely grant the defendant's objection to the testimony?	mmlu_pro	law
8,443	An insurance agent is successful in selling a life insurance policy to 20 percent of the customers he contacts. He decides to construct a simulation to estimate the mean number of customers he needs to contact before being able to sell a policy. Which of the following schemes should he use to do the simulation?	mmlu_pro	math
4,997	Toward the end of the Pleistocene, between 28,000 and 18,000 years ago, worldwide sea level was much lower than present day, resulting in the exposure of a landmass east of Siberia called __________. This period is called the _______.	mmlu_pro	history
4,841	Subsistence practices of people can be determined by recovering and studying:	mmlu_pro	history
12,250	For a single tone-modulated signal m(t) =cos\omega_mt Find the demodulated single sideband outputg(t).	mmlu_pro	engineering
2,409	Which of the following best summarizes Carl Rogers' view of personality?	mmlu_pro	psychology
4,092	Calculate the ratio of the electrical and gravitational forces between a proton and an electron.	mmlu_pro	chemistry
2,687	Discuss the two main theoretical points of view on the origins of human aggressive behavior.	mmlu_pro	psychology
5,187	An individual paid taxes 27 months ago, but did not file a tax return for that year. Now the individual wants to file a claim for refund of federal income taxes that were paid at that time. The individual must file the claim for refund within which of the following time periods after those taxes were paid?	mmlu_pro	other
11,867	Compute the conditional distribution of Y given X if X and Y are jointly distributed with density f(x, y) = x + y0 < x < 1, 0 < y < 1 and = 0otherwise. What is the conditional expectation of Y?	mmlu_pro	engineering
10,972	Which Hindu festival involves decorating the house with lights, setting off firecrackers and wearing new clothes?	mmlu_pro	philosophy

4,838

The significance of Frere's discovery was that what he found was located:

mmlu_pro

history

2,638

In Bandura's social learning theory, the concept of seif-reinforcement is critical for explaining how in the absence of external reward

mmlu_pro

psychology

11,584

The normal boiling point of water is 9720 cal/mole. Calculate the heat of vaporization at 35°C and 1 atm. Use thefollowing C_p values to solve the problem. C_p Values forH_2O(1); C_p = 18.06 cal deg^-1 mole^-1 (independentof temperature) forH_2O(g); C_p = 7.219 + 2.374(10^-3)T + 2.67(10^-7)T^2 caldeg^-1 mole^-1

mmlu_pro

engineering

8,590

Mr. Patrick is preparing a five-question true-false quiz for his class. He flips a coin before writing the first question. If it is heads, he writes a true statement and if it is tails, he writes a false statement. He continues this until all five statements are written. What is the probability that the correct sequence of answers is TFTFT ? Express your answer as a common fraction.

mmlu_pro

math

2,655

While driving to school, Elise hears about a concert ticket giveaway on the radio. She has to be the seventh caller to win. While pulling over so that she can call in, she repeats the number to herself several times. Elise was using which of the following to remember the phone number?

mmlu_pro

psychology

11,533

Air is flowing over a 5-row tube bank. The air enters the enclosing duct at a temperature of 60°F, and it leaves at 100°F. The air flow is 500 ft^3/min, and is at atmospheric pressure. The tubes have a diameter of 1 in. and a length of 4 ft. They are staggered, with the longitudinal and transverse spacing ratio of Z. The outside wall surface temperature is 227°F. If the minimum free flow cross-sectional area is 1.667 ft^2, calculate the coefficient of heat transfer. Table 1: Ratio of mean heat-transfer coefficient for bank of tubes N rows deep to the coefficient for tubes in a single row. N 1 2 3 4 5 6 7 8 9 10 Triangular grid 1 1.10 1.22 1.31 1.35 1.40 1.42 1.44 1.46 1.47 Square grid 1 1.25 1.36 1.41 1.44 1.47 1.50 1.53 1.55 1.56

mmlu_pro

engineering

8,709

If A is the 2 by 2 matrix whose (i, j) entry is equal to i + j, and B is the 3 by 3 matrix whose (i, j) entry is equal to i + j, find the value of the sum detA + detB.

mmlu_pro

math

11,688

(a) If q = -10^-7 e-(10)5 tC, find the average current during the time from t = - 5\mus to + 5\mus. Given i = 12cos[1000t + (\pi/6)]A; (b) Find the average current during the interval, 0 < t < (\pi/3) ms; (c) Determine the total charge transferred between t = 0 and t = (2\pi / 3)ms.

mmlu_pro

engineering

4,108

Use the van der Waals parameters for chlorine to calculate approximate values of the Boyle temperature of chlorine.

mmlu_pro

chemistry

6,220

Which of the following conditions is a peroxisomal disorder?

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health

11,595

An air-water-vapor mixture at 1atmand 75°F has a relative humidity of 0.45. For this mixture, calculate the specific humidity, the dew point and the partial pressures.

mmlu_pro

engineering

9,328

A curve with a 120 m radius on a level road is banked at the correct angle for a speed of 20 m/s. If an automobile rounds this curve at 30 m/s, what is the minimum coefficient of static friction needed between tires and road to prevent skidding?

mmlu_pro

physics

6,586

Lassa and Ebola are emergent viruses in W. Africa. What is their origin?

mmlu_pro

health

9,144

A charge distribution that is spherically symmetric but not uniform radially produces an electric field of magnitude $E=K r^4$, directed radially outward from the center of the sphere. Here $r$ is the radial distance from that center, and $K$ is a constant. What is the volume density $\rho$ of the charge distribution?

mmlu_pro

physics

1,251

A buyer bought a large, nicely kept house near a university campus. She was able to buy the house for a very good price because it was located directly across the street from a fraternity house known for its frequent late-night parties. The buyer knew of the fraternity's reputation before she bought the house. The reputation was well deserved, and the buyer found the noise from the parties extremely unpleasant and disruptive. The buyer has asked an attorney for legal advice regarding a possible nuisance claim against the fraternity. Which of the following responses would best express the applicable law?

mmlu_pro

law

6,385

Which of the following statements about proteolysis is correct?

mmlu_pro

health

1,765

An art collector attended a party on March 15. At the party, the art collector was describing his collection to a woman in attendance. When the art collector described a painting by a well-known artist, the woman indicated she might like to buy that painting. The art collector said, "I'll sell you the painting for $10,000. I'll give you 30 days to decide whether you want the painting. " On March 25, the art collector wrote to the woman and stated that the offer of March 15 was withdrawn. The woman received the March 25 letter on March 26. On March 27, the woman wrote the art collector the following letter:"Please be advised that I hereby accept your offer of March 15. " The art collector received this letter on March28. Thereafter, the art collector and the woman engaged in several telephone discussions. On April 10, the woman, in a telephone conversation, told the art collector that she would pay $15,000 if the painting was delivered on or before April 15. The art collector agreed to deliver the painting for $15,000. On April 15, the art collector tendered the painting, but the woman refused to pay more than $10,000. If the art collector asserts a claim against the woman for breach of contract, which of the following is the most accurate statement?

mmlu_pro

law

6,846

Which of the following statements are true concerning the autocorrelation function (acf) and partial autocorrelation function (pacf)? i) The acf and pacf will always be identical at lag one whatever the model ii) The pacf for an MA(q) model will in general be non-zero beyond lag q iii) The pacf for an AR(p) model will be zero beyond lag p iv) The acf and pacf will be the same at lag two for an MA(1) model

mmlu_pro

economics

11,360

The solid angle subtended by an area of 2400 cm^2 on the surface of a sphere of diameter 1.2 m is

mmlu_pro

engineering

9,725

Mercury orbits the sun in about one-fifth of an Earth year. If 1 AU is defined as the distance from the Earth to the sun, what is the approximate distance between Mercury and the sun?

mmlu_pro

physics

9,669

A thin lens of 50 mm focal length has a diameter of 4 cm. A stop with a circular opening of 2 cm is placed 3 cm to the left of the lens, and an axial point object is located 20 cm to the left of the stop. 1) Which of the two, the aperture stop or the lens aperture, limits the light passing through the system? 2) What is the effective f-number of the system? 3) At what distance from the lens is the exit pupil located?

mmlu_pro

physics

10,886

William Safire in American Heritage Magazine (December 1987): ...The greatness of Lincoln was his purposefulness. He saw something that few others saw: that the democratic experiment centered on the Union and that majority rule was everything. The minute you allowed secession, you made democracy an absurdity---because what would happen would be continued subdivision.

mmlu_pro

philosophy

6,624

What is food security?

mmlu_pro

health

2,941

In plants, which tissue is responsible for new growth?

mmlu_pro

biology

11,812

Which of these sets of logic gates are designated as universal gates?

mmlu_pro

engineering

8,850

what is the value of \int_a^b \frac{dx}{\sqrt{(x-a)(b-x)}}? Round the answer to the thousands decimal.

mmlu_pro

math

2,104

Which of the following illustrates why most people can detect the difference between Coke and Pepsi most of the time?

mmlu_pro

psychology

5,393

What is the loudest animal on earth?

mmlu_pro

other

656

Owens Company accepted a draft, 90-day sight, amounting to $560 drawn on them by Watts Bros. Watts Bros, had the draft discounted 34 days before the due date at 6%. What were the proceeds?

mmlu_pro

business

6,247

A 15-year-old girl is brought to the physician 3 months after she had a blood pressure of 150/95 mm Hg at a routine examination prior to participation in school sports. She is asymptomatic and has no history of serious illness. Twelve months ago, she was diagnosed with a urinary tract infection and treated with oral trimethoprim-sulfamethoxazole. She currently takes no medications. Subsequent blood pressure measurements on three separate occasions since the last visit have been: 155/94 mm Hg, 145/90 mm Hg, and 150/92 mm Hg. She is at the 50th percentile for height and 95th percentile for weight. Her blood pressure today is 150/90 mm Hg confirmed by a second measurement, pulse is 80/min, and respirations are 12/min. Examination shows no other abnormalities. Her hematocrit is 40%. Urinalysis is within normal limits. Cardiac and renal ultrasonography shows no abnormalities. Which of the following is the most appropriate next step in management?

mmlu_pro

health

228

Tim is a salesman who earns a guaranteed salary of $4800/year plus 4% of all sales up to $12,000; 5% of sales from $12,000 to $20,000; 6% of sales over $20,000 in any month. Last month Tim's sales were $21,750. Compute his gross earnings for last month.

mmlu_pro

business

491

Mr. and Mrs. Golden have just purchased a new home. After sellingtheir own house, they find that they still need an additional$18,000 to pay for the new house. They borrow the$18,000 at 6% for a term of 20 years. What is thefirst monthlypayment of their loan?

mmlu_pro

business

2,899

How does the body control the amount of water excreted?

mmlu_pro

biology

11,209

Which of the following is another name for the fallacy of amphiboly?

mmlu_pro

philosophy

2,291

Dr. Ramchandran found that his patients who brushed their teeth after lunch had 1/20 the number of cavities in their teeth as those who didn't. After interviewing the dentist, a local newswriter reports that brushing teeth after lunch prevents cavities. Based on the dentist's research, which of the following statements is true?

mmlu_pro

psychology

5,676

A person with a rating of 4 on the Kinsey scale would be classified as:

mmlu_pro

other

6,344

The pattern of inheritance shown by glucose-6-phosphate dehydrogenase (G6PD) deficiency is:

mmlu_pro

health

9,181

(a) What is the magnitude of the electric field at a distance of 1\AA (= 10^\rule{1em}{1pt}8 cm) from a proton? (b) What is the potential at this point? (c) What is the potential difference, in volts, between positions 1 and 0.2 \AA from a proton?

mmlu_pro

physics

755

Providing free samples of perfumes (scent) in magazines is an example of which of the following?

mmlu_pro

business

2,443

Studies show that the effect of the presence of others on an individual's performance is to

mmlu_pro

psychology

11,417

Air at one atm. and 90°F moves at 140 ft/sec across a flat plate of length 3 ft. The temperature at the sur-face of the plate is 450°F. For a 1 ft. width, deter-mine the heat loss from the entire plate, and also the heat loss from the laminar and turbulent sections of the boundary layer. Then, assuming that the boundary layer is completely turbulent, calculate the heat loss.

mmlu_pro

engineering

2,610

Discuss the function of a theory of personality.

mmlu_pro

psychology

4,352

What is the temperature of a two-level system of energy separation equivalent to $400 \mathrm{~cm}^{-1}$ when the population of the upper state is one-third that of the lower state?

mmlu_pro

chemistry

7,768

How many paths are there from the origin (0,0) to the point (10,10) on a grid such that the path only moves up or right and does not cross the diagonal line y = x?

mmlu_pro

math

2,150

A ten-year-old boy, tested with a paper-and-pencil intelligence test, obtained an IQ score of 130. Two years later, he was tested with an alternate form of the same test. Most likely, the obtained score on the second testing would be

mmlu_pro

psychology

9,200

What is the centripetal force required to cause a 3200 pound car to go around a curve of 880-ft radius at a speed of 60 mph?

mmlu_pro

physics

4,706

What do the amounts of rainfall in the Maya homeland, as reflected in variations in oxygen isotopes in a stalagmite in Yok Balum Cave in Belize, correspond to?

mmlu_pro

history

1,749

A brick mason was hired by a builder under a written one-year contract, at an annual salary of $45,000, with employment to begin on March 1. Because the builder was unable to secure enough building contracts to keep all its employees busy during the season beginning March 1, it notified the brick mason on February 15 that it could not afford to employ him as a mason. At the same time, however, the builder offered to employ the mason, for the same contract period, as a night guard at an annual salary of $25,000. The mason declined the offer and remained unemployed during the year. No offer and remained unemployed during the year. No employment for brick masons was available in the community during the year, but the mason could have obtained other employment as a day laborer that would have paid up to $25,000 a year. At the end of the year, in an action against the builder for breach of contract, how much, if anything, is the mason entitled to recover?

mmlu_pro

law

3,413

Describe the function of the lateral-line system in fishes.

mmlu_pro

biology

7,385

One of the reasons Adam Smith supported the Free Market was because he believed that what is good for the individual is good for the country. So, since everyone would like to choose what they want to buy, it must be good for the country to give everyone free choice. Identify the error in Smith's logic and give a counter example.

mmlu_pro

economics

6,331

The coding sequences of genes are called:

mmlu_pro

health

5,248

Which of the following has reduced the power of political parties?

mmlu_pro

other

9,215

The loudness of a sound is most closely related to its

mmlu_pro

physics

9,397

A certain weight of alcohol has a volume of 100 cm^3 at 0°C. What is its volume at 50°C?

mmlu_pro

physics

3,891

The specific rate constant, k, for a certain first-order reaction is 86 h^-1. What mass of a 0.0500 g sample of starting material will remain after 58 s?

mmlu_pro

chemistry

9,711

During the takeoff roll, a Boeing 747 jumbo jet is accelerating at 4 m/sec^2. If it requires 40 sec to reach takeoff speed, determine the takeoff speed and how far the jet travels on the ground.

mmlu_pro

physics

11,989

Given x = [(3x_0y_0t^2) / z_0], y = [(5x_0z_0t) / y_0], z = [(2y_0z_0t^3) / x_0] findthe velocity of the fluid particle and acceleration at x_0= 1 cm, y_0 = 2 cm, z_0 = 3 cm at t = 2.

mmlu_pro

engineering

6,668

A healthy 22-year-old man participates in a study of glucose metabolism. At the beginning of the study, his serum glucose concentration is within the reference range. He consumes an 800-calorie meal consisting of protein, fat, and carbohydrates. He then sleeps through the night without additional food or drink. Twelve hours later, his serum glucose concentration remains within the reference range. Which of the following mechanisms is most likely involved in maintaining this man's serum glucose concentration?

mmlu_pro

health

985

In 2006, an investor purchased a 100-acre tract located in a rural county. Shortly thereafter, the investor prepared a subdivision plan that created 90 one-acre residential building lots on this tract with the remaining 10-acre lot proposed for a public school building. In the investor's sales brochure promoting the subdivision, he stated that "in addition to the close proximity of the proposed school for subdivision residents, the county school district would not need to expend tax money to acquire this property for school construction. " In 2007, the subdivision plan was recorded with the county recorder's office. On January 15, 2009, the county school board voted to build a new school on the 10-acre tract. The investor's proposed designation of the 1 0-acre tract for construction of a school building would best be described as a (an)

mmlu_pro

law

1,538

The board of a state university has adopted the following rule concerning residency requirements:"A student will be considered a legal resident of the state for the purpose of registering at the university if such person is over the age of 21 and has established a legal residence in the state for at least one year next preceding the last day of registration for credit. "A student moved to the state and immediately enrolled at the state university. Since he did not fulfill the university residency requirement, the student was required to pay $1,800 tuition each semester, which was $400 more than the tuition of state resident-students. In an action by the student challenging the constitutionality of the provision governing the determination of residency for the purpose of fixing a fee differential for out-of-state students in public college, the court will most likely declare the provision

mmlu_pro

law

10,688

One approach to handling fuzzy logic data might be to design a computer using ternary (base-3) logic so that data could be stored as “true,” “false,” and “unknown.” If each ternary logic element is called a flit, how many flits are required to represent at least 256 different values?

mmlu_pro

computer science

738

Mr. Johnson discounted a non-interest bearing draft for $850 due July 12 on July 1 at a discount rate of 5%. Assuming a 365-day year, what were his proceeds?

mmlu_pro

business

9,040

5.6-7. Let $X$ equal the maximal oxygen intake of a human on a treadmill, where the measurements are in milliliters of oxygen per minute per kilogram of weight. Assume that, for a particular population, the mean of $X$ is $\mu=$ 54.030 and the standard deviation is $\sigma=5.8$. Let $\bar{X}$ be the sample mean of a random sample of size $n=47$. Find $P(52.761 \leq \bar{X} \leq 54.453)$, approximately.

mmlu_pro

math

9,056

The emission spectrum of the doubly ionized lithium atom Li++ (Z = 3, A = 7) is identical to that of a hydrogen atom in which all the wavelengths are

mmlu_pro

physics

1,295

What is the effects doctrine?

mmlu_pro

law

12,167

Hydrogen gas is to be heated by means of forced convection in a pipe. This experiment will first be modeled on a smaller scale, using air as the flow component. The prototype specifications are: G_H = 4210lbm/ft^2-hrd_iH= 0.1727 ft L_H = 18.5 ft\mu_H= 0.0242lbm/ft-hr C_pH= 3.4 Btu/lbm-°F while the model will use d_iA= 0.0358 ft\mu_A= 0.047lbm/ft-hr C_pA= 0.24 Btu/lbm-°F Using appropriate relations of similitude, find the required values of L_A, G_A and the ratio (h_H/h_A).

mmlu_pro

engineering

4,453

The mass density of water vapour at $327.6 \mathrm{~atm}$ and $776.4 \mathrm{~K}$ is $133.2 \mathrm{~kg} \mathrm{~m}^{-3}$. Given that for water $T_{\mathrm{c}}=647.4 \mathrm{~K}, p_{\mathrm{c}}=218.3 \mathrm{~atm}, a=5.464 \mathrm{dm}^6 \mathrm{~atm} \mathrm{~mol}^{-2}$, $b=0.03049 \mathrm{dm}^3 \mathrm{~mol}^{-1}$, and $M=18.02 \mathrm{~g} \mathrm{~mol}^{-1}$, calculate the compression factor from the data.

mmlu_pro

chemistry

3,253

What evidence supports the theory that vascular plants evolved directly from green algae, and not from bryophytes?

mmlu_pro

biology

1,509

A truck driver from State A and a bus driver from State B were involved in a collision in State B that injured the truck driver. The truck driver filed a federal diversity action in State B based on negligence, seeking $100,000 in damages from the bus driver. What law of negligence should the court apply?

mmlu_pro

law

3,663

Calculate ∆m, the difference in mass between the final and initial nuclei in grams per mole for the emission of a \gamma ray, ^19_8O\textasteriskcentered (excited state)\rightarrow^19_8O (ground state) + \gamma (∆E = 1.06 × 10^8 Kcal/mole).

mmlu_pro

chemistry

2,934

A stem-boring beetle has laid its eggs in the center of a 5-year-old wood twig, and the eggs have matured into larvae. In proper order (inside to outside), what tissues and tissue regions would the larvae encounter as they eat their way toward the outside of the twig? (For simplicity, assume that the epidermis has already fallen off completely.)

mmlu_pro

biology

3,967

What is the electromotive force (emf) of a system when K, the equilibrium constant for the reaction = Q, the concentration quotient?

mmlu_pro

chemistry

3,421

List and compare the tissues that support and hold together theother tissues of the body.

mmlu_pro

biology

2,135

Dr. Sam Solo is the only psychologist in a small town, and his son is enrolled in the town's only elementary school. Dr. Solo receives a call from his son's teacher who says she would like to begin therapy with him. As an ethical psychologist, Dr. Solo should:

mmlu_pro

psychology

1,479

A man was driving his car when he suddenly hit a pedestrian as she was crossing the street. Following the accident, an ambulance was summoned and the pedestrian was taken to a nearby hospital. The man, who also drove to the hospital, approached the pedestrian in the emergency room while she was being treated for her injuries. When the pedestrian saw the man, she told him, "You went through that red light. You could have killed me. " She then asked the man for $5,000 to cover her anticipated medical expenses. The man replied that he would have to think about it. Shortly thereafter, the man sent a letter to the pedestrian in which he wrote, "I realize I drove through the red light. Naturally, I would like to settle this without any litigation. I'm willing to pay all your medical expenses and give you $2,000 if you don't sue me. " The pedestrian did not accept the man's offer and brought suit against him. At trial, the pedestrian's attorney offers the first sentence of the letter into evidence, and the man objects. The trial judge should rule the evidence

mmlu_pro

law

714

A $98 movie camera can be purchased on the installment plan for 10% down, with the balance over 24 weekly payments of $4 each. What is the annual interest rate?

mmlu_pro

business

8,066

Assuming we are underground, and the only thing we can observe is whether a person brings an umbrella or not. The weather could be either rain or sunny. Assuming the P(rain)=0.6 and P(sunny)=0.4. Assuming the weather on day $k$ is dependent on the weather on day $k-1$. We can write the transition probability as P(sunny $\mid$ sunny) = P(rain $\mid$ rain) = 0.7. The person has 60% chance to bring an umbrella when the weather is rain, and 40% chance to bring an umbrella when the weather is sunny, i.e. P(umbrella $\mid$ rain) = 0.6 and P(umbrella $\mid$ sunny) = 0.4. If we observe that the person (1) brought an umbrella on day 1, (2) did not bring an umbrella on day 2, (3) brought an umbrella on day 3. What is the probability that day 2 is raining?

mmlu_pro

math

785

You can buy a sewing machine selling for $275 net price, or one listed at $320 less a 12(1/2) % discount. Which is the best buy and how much will you save by buying it instead of the other one?

mmlu_pro

business

3,614

Given thatK_spfor Mg(OH)_2 is 1.2 × 10-^11 , calculate the solubility of this compound in grams per 100ml of solution. The reaction equation is Mg(OH)_2 \rightleftarrows Mg+^2 + 2OH- .

mmlu_pro

chemistry

1,165

Billy was charged with grand theft. The trial began on a Thursday afternoon. The jury was empaneled, sworn and released for the day. Since Friday was the Fourth of July, the judge asked the jurors to return on Monday. The trial began again on Monday morning at 8:30. By late evening the judge had instructed the jury. Due to the lateness of the hour, the jurors were sequestered for the evening to allow them to get an early start the next morning. The jurors returned Tuesday morning and were unable to reach a verdict. Unable to reach a verdict, the trial judge allowed the jurors to go home that evening. On Wednesday morning, the jury assembled and returned a verdict of guilty. On appeal, which of the following is Billy's strongest issue for seeking a reversal?

mmlu_pro

law

10,834

A valid disjunctive syllogism has a major premise that:

mmlu_pro

philosophy

4,492

Calculate the heat of formation of CH_4(g) in the reaction: C(graphite) + 2H_2(g) = CH_4(g) , using the reactions below and their given \DeltaH° values CH_4(g) + 2O_2(g) = CO_2(g) + 2H_2O(1) \DeltaH° = -212.80 kcal mole^-1 C(graphite) + C_2 (g) = CO_2 (g)\DeltaH° = -94.05 kcal mole^-1 H_2(g) + (1/2) O_2(g) = H_2O(1)\DeltaH° = -68.32 kcal mole^-1

mmlu_pro

chemistry

12,033

A gas containing 0.05 mass fraction of CO flows into a container at a rate of 250 lb/hr, where it is mixed with preheated air to oxidize the CO to CO_2. The con-tainer radiates 65% of the heat liberated due to com-bustion. Determine the radiation area required if the container attains a temperature of 1500°F. The tempera-ture of the surroundings is 150°F and the heat of com-bustion of CO to CO_2 is 4350 Btu/lb CO. Assume the con-tained and the surroundings to be black bodies.

mmlu_pro

engineering

976

What is personal (ratione personae) immunity?

mmlu_pro

law

5,406

The full-employment gross domestic product is $1.3 trillion, and the actual gross domestic product is $1.2 trillion. The marginal propensity to consume is 0.8. When inflation is ignored, what increase in government expenditures is necessary to produce full employment?

mmlu_pro

other

3,486

In a certain species of flies, the male presents the female witha silken balloon before mating. Explain the evolutionary derivationof this behavior.

mmlu_pro

biology

3,951

What will be the relative concentrations of Zn^+2 and Cu^+2 when the cell Zn; Zn+2II Cu^+2; Cu has completely run down? (E° = 1.10 volts).

mmlu_pro

chemistry

221

John's $200 earns interest at the rate of 5% for one year, compounded quarterly. Show how he would calculate the interest without the aid of a formula or a table.

mmlu_pro

business

3,900

Calculate the standard potential of the $\mathrm{Ce}^{4+} / \mathrm{Ce}$ couple from the values for the $\mathrm{Ce}^{3+} / \mathrm{Ce}$ and $\mathrm{Ce}^{4+} / \mathrm{Ce}^{3+}$ couples.

mmlu_pro

chemistry

1,416

The police arrested a man for the murder of his live-in fiancÃ©e after the woman's dead body was found in the basement of their apartment building. At trial, the prosecution attempted to present the testimony of the victim's out-of-state sister regarding a telephone conversation she had with the defendant. She had called their landline number to talk with her sister on the same day when he had first reported to the police that his fiancÃ© had been missing for five days. The sister had not met the man but had spoken with him briefly a few other times. He told her that her sister "went out all night last night and did not return yet." The prosecution attempted at trial to have the sister testify to the conversation to show the significant discrepancy between his stories to the police and to her. The defense objected, arguing that she couldn't authenticate the conversation because she couldn't identify the speaker as the defendant nor had she ever met him. The prosecution told the court that she felt it was "probably" his voice, which she recollected from the prior talks at the same number. Will the court likely grant the defendant's objection to the testimony?

mmlu_pro

law

8,443

An insurance agent is successful in selling a life insurance policy to 20 percent of the customers he contacts. He decides to construct a simulation to estimate the mean number of customers he needs to contact before being able to sell a policy. Which of the following schemes should he use to do the simulation?

mmlu_pro

math

4,997

Toward the end of the Pleistocene, between 28,000 and 18,000 years ago, worldwide sea level was much lower than present day, resulting in the exposure of a landmass east of Siberia called __________. This period is called the _______.

mmlu_pro

history

4,841

Subsistence practices of people can be determined by recovering and studying:

mmlu_pro

history

12,250

For a single tone-modulated signal m(t) =cos\omega_mt Find the demodulated single sideband outputg(t).

mmlu_pro

engineering

2,409

Which of the following best summarizes Carl Rogers' view of personality?

mmlu_pro

psychology

4,092

Calculate the ratio of the electrical and gravitational forces between a proton and an electron.

mmlu_pro

chemistry

2,687

Discuss the two main theoretical points of view on the origins of human aggressive behavior.

mmlu_pro

psychology

5,187

An individual paid taxes 27 months ago, but did not file a tax return for that year. Now the individual wants to file a claim for refund of federal income taxes that were paid at that time. The individual must file the claim for refund within which of the following time periods after those taxes were paid?

mmlu_pro

other

11,867

Compute the conditional distribution of Y given X if X and Y are jointly distributed with density f(x, y) = x + y0 < x < 1, 0 < y < 1 and = 0otherwise. What is the conditional expectation of Y?

mmlu_pro

engineering

10,972

Which Hindu festival involves decorating the house with lights, setting off firecrackers and wearing new clothes?

mmlu_pro

philosophy