Math Questions

Match the following shapes with their correct description. 1. rectangle 2. triangle 3. circle 4. trapezoid a. a slice of a rectangular pyramid perpendicular to the base but not through the apex b. the cross section of a cone parallel to the base c. the cross section of a rectangular prism perpendicular to the base d. the cross section of a triangular pyramid parallel to the base

Consider the line 4x + 7y = 7. What is the slope of a line parallel to this line? What is the slope of a line perpendicular to this line?

Jacy is 12 years old and weighs 82 lb. Assume that his weight increases at a rate of 16% each year. Write an exponential function to model the increase. What will he weigh after 5 years?

21. Which of the following is the only triangle whose sides form a right triangle? A. a=2 units b=4 units c=12 units B. a=3 units b=4 units c=7 units C. a=5 units b=5 units c=√10 units D. a=2 units b=1 units c= √5 units

Tatianna is choosing what foods to eat for breakfast. Let A denote the event "at least one red food is chosen" and B denote the event "at least one piece of fruit is chosen". Which of the following represents the event "at least one food that is chose is red or at least one food that is chosen is a fruit"? a) A' ∪ B' b) A ∪ B c) A ∩ B d) A' ∩ B'

The points (0, 2), (1, 3), (2, 6), and (3, 11) are on the graph of a function. Which of the following equations represents that function? A h(x) = 0.5x² +1.5 B. h(x) = x² + 2 C. h(x) = x + 2 D. h(x) = 2x²

Given: Universal Set U = {1, 2, 3, 4, 6, 8} Subset B = {1, 2, 3, 4) What is the complement of Set B in Set U? a) {1, 2, 3, 8} b) {6, 8} c) {1, 2, 3, 4) d) {1, 2, 3, 4, 6, 8}

Foresters use regression to predict the volume of timber in a tree using easily measured quantities such as diameter. Let y be the volume of timber in cubic feet and x be the diameter in feet (measures at 3 feet above ground level). One set of data gives y=-30+60x. The predicted volume for a tree of 18 inches is: A) 1050 cubic feet B) 600 cubic feet C) 105 cubic feet D) 90 cubic feet E) 60 cubic feet

Given the following equation what are the two important points used for graphing? y = 2.3x+1 (-1, 2) and (0, 6) (0, 2) and (1, 6) (0, 3) and (1, 5) (1, 2) and (2, 6)

Jess is baking ten batches of cookies for a bake sale. Each cookle batch has 10% probability of being burned. If A is the event that a cookle batch is burnt, what is the correct equation to find the probability that Jess will burn none of the ten batches of cookies? P(A) = 0.9¹ P(A¹)10 = 0.910 P(A)10 = 9 P(A')= 0.110

The diameter of a circle is 5 in. Find its area to the nearest tenth.

Bryan Berg built an 83-storey house of cards. He used 27000 playing cards to accomplish this feat. At this same rate, about how many cards would it take to build a 100-storey house of cards? Round your answer to the nearest integer. 30 750 44 900 2400 32 530

Identify the error in the student solution shown below. Find the correct answer. 2ln(x) = In(3x) - [In(9) - 2ln(3)] In(x²)= In(3x) - [In(9) - In(9)] In(x²)= In(3x)-0 In(x²)= In(3x/0); division by 0, undefined.

A study from 2005 claims that high school students are active for 60 minutes a day on average. A researcher belleves this has decreased over time. He randomly selects a group of high school students nationwide and determines the group's average amount of activity to be 50 minutes. If the p-value for this new study Is 0.03 and the researcher is using an alpha of 0.05, what should the researcher conclude? There is evidence at the 0.05 level of significance that high school students on average are active for less than 60 minutes a day There is evidence at the 0.05 level of significance that high school students on average are active for more than 60 minutes a day There is evidence at the 0.05 level of significance that high school students on average are active for approximately 60 minutes a day There is not enough information provided to reject or fail to reject the null hypothesis.

Which of the following best describes transformation by dilation? A dilation only enlarges the size of a figure. A dilation takes place in either a horizontal or a vertical direction. Dilations preserve size, but not shape. The pre-image and image of a dilation will remain the same shape, even if they are not the same size.

A 15 Rt ladder leans against a wall. The bottom of the ladder is 5 ft from the wall at time t= 0 and slides away from the wall at a rate of 2ft/sec Find the velocity of the top of the ladder at time t = 1.

A mobile phone company determined with 95% confidence that the a teenager with a mobile phone send an average of 180 text messages 20 messages each day. Which of the following statement is most likely to be true based on the study? There is a 95% probability that every student with a mobile phone sends at least 160 messages a day. There is a 95% probability that every student with a mobile phone sends at most 200 messages a day. There is a 95% probability that the true average of text messages sent by a teenager is somewhere between 160 and 200 text messages a day. There is a 95% probability that the true average of text messages sent by a teenager is 180 text messages a day.

The average number of accidents in a month is 112. Authorities believe that with the implementation of the new traffic rules this count will go down. Write down the competing hypothesis and the two types of errors. Which error will have the more severe effect? A Type I error has more severe effects in this scenario. A Type Il error has more severe effects in this scenario. A Type I error and a Type Il error have equally severe consequences in this scenario. It is impossible to tell which error type has more severe consequences in this scenario.

A traffic engineer plans to estimate the average number of cars that pass through an intersection each day. Based on previous studies the standard deviation is believed to be 52 cars. She wants to estimate the mean to within + 10 cars with 90% confidence. The needed sample size for n is: a. n=104 days b. n = 74 days c. n = 10 days d. n=9 days

Due to the many cell phones in use, there is increasingly a shortage of telephone numbers. To alleviate the problem, the government agency that oversees phone numbers and area codes needs to determine a new area code. How many area codes can be made? (Assume that an area code consists of three digits and it cannot start with zero as the only restriction.) 1,000 995 800 900

The probability of a rainy day in November is 0.44. What is the probability that it rains four days in a row in November? 0.037 0.44 1.32 0.85

The U.S. Post Office is interested in estimating the mean weight of packages shipped using the overnight service. They plan to sample 300 packages. A pilot sample taken last year showed that the standard deviation in weight was about 0.15 pounds. If they are interested in an estimate that has 95 percent confidence, what margin of error can they expect? a. Approximately 0.017 pounds b. About 0.0003 pounds c. About 1.96

A twelve-sided number cube has numbers 1-12 labeled on each side. If you roll the number cube twice, what is the probability of getting a pair of doubles? 1/12 1/144 1/2 1/6

You have two job offers that you are considering. Offer 1: You earn a yearly salary of $54,941 that increases by $4,096 every year. Offer 2: You earn a yearly salary of $54,941 that increases by 2.1% compounded annually. How much money would you make after 21 years if you chose the linear payment? Do not include the dollar sign in your answer. Round to the nearest cent.

If the hypotheses are: Ho: M≤ 40, Ha : M > 40, what would you conclude at a p-value 0.10 and alpha 0.01? There is no evidence to support that the mean is less than 40. There is no evidence to support that the mean is greater than 40. There is evidence to support that the mean is less than 40. There is evidence to support that the mean is greater than 40.

A farmer is going to divide her 40 acre farm between two crops. Seed for crop A costs $10 per acre. Seed for crop B costs $20 per acre. The farmer can spend at most $500 on seed. If crop B brings in a profit of $120 per acre, and crop A brings in a profit of $80 per acre, how many acres of each crop should the farmer plant to maximize her profit?

Aarav has 3,250 followers on social media. His number of followers is increasing at a rate of 3% per week. Which function represents his number of followers each week? A. f(w) = 3250 (1.03)" B. f(w) = 3250 (0.03)" C. f(w) = 3,250 (3) D. f(w)=3250 (0.097)

Two students at an elementary school are to be selected at random from a group of twelve kindergartners, eight first- grade students, and five second-grade students. What is the probability that one student selected will be a second- grader and the other a kindergartner?

Is the following function a linear function or an exponential function? y = -2x + 9

According to the Angle-Angle Similarity Postulate, if two triangles have two corresponding angles that are similar, congruent different, similar congruent, congruent congruent, similar then the triangles

A potter forms a piece of clay into a right circular cylinder. As she rolls it, the height h of the cylinder increases and the radius r decreases. Assume that no clay is lost in the process. Suppose the height of the cylinder is increasing by 0.6 centimeters per second. What is the rate at which the radius is changing when the radius is 7 centimeters and the height is 11 centimeters?

Two siblings, Alex and Brian, play a game three times in which each has an equal probability of winning. If A Is the event that Brian wins a game, what is the correct equation needed to find the probability that Brian will win none of the games? P(A¹)³=0.5³ P(A')=5³ 3P(4') = 1.5 P(A¹)³= 0.5

The radius of a circle is 3 in. Find its area to the nearest tenth.

The trainer believes that in the age group of 13 to 18, boys are taller than girls. To test his claim he compared the average heights of boys to the average heights of girls. He got a p-value of 0.04. Draw the conclusion at significance level: 0.01 and 0.05. Conclusion: At a = 0.01 he concludes that the average height of boys is larger than that of girls, at a = 0.05 concludes that the average height of boys and girls is same. Conclusion: At a = 0.01 and 0.05 average height of boys is larger than that of girls. Conclusion: At a = 0.01 and 0.05 he concludes that average height of boys and girls is same Conclusion: At a = = 0.01 he concludes that the average height of boys and girls is same, and at a = 0.05 concludes that the average height of boys is larger than that of girls.

A card is chosen at random from a deck of 52 cards. It is then replaced and a second card is chosen. What is the probability of choosing a jack and then an eight? P(jack and 8) a) 16/169 b) 4/52 c) 16/52 d)1/169

A normal distribution has a mean of 150 and a standard deviation of 10. What is μ-3σ? 160 170 130 120

To estimate the height of a building, a student stood a certain distance from a building and determined that the angle of elevation to the top of the building was 32°. The student then moved 200 feet closer to the building along a level street and determined the angle of elevation was 42°. What is the height of the building? 315.3 feet 628.7 feet 116.5 feet 408.4 feet

Farmers sell milk by the hundredweight (100 pounds of milk). At one time the mean price was $16.30 per hundredweight with a standard deviation of 2.01. What is the probability that the farmer's price is between $12.28 and $16.30? Use the 68-95-99.7 normal distribution curve. 15.85% 47.5% 13.5% 34.0%

What is the probability of not getting double points? Give your answer in decimal form. Round to the thousandths place.

Twelve contestants are competing in a talent show. Which of the following represents the possible outcomes if there can be only one recipient for first, second, and third place? \(3!\) \(12!\) 12³ 12.11.10

Match the type of transformation with its description. 1. stretch 2. reflection 3. rotation 4. translation a. Points are flipped over a line. b. Points are turned around a central point. c.The size of the pre-image changes in one direction. d. Points are slid the same amount in the same direction.

The radius of a circle is 3 ft. Find its area to the nearest tenth.

Humberto has a bag of 24 marbles. 7 marbles are red, 5 marbles are blue, and the rest are pink. Humberto takes out two marbles without replacing them. What is the probability that they are both blue?

A random sample of 250 students at a university finds that these students take a mean of 15.3 credit hours per quarter with a standard deviation of 1.6 credit hours. What is the error bound of the mean for a 95% confidence level? A. 0.198 B. 0.010 C. 0.157 D. 0.013

If each edge of a cube measures 4 ft, how many pints of paint would it take to paint the entire cube if one pint of paint covers 25 square feet?

A deck of thirty cards consists of ten red, ten yellow, and ten orange cards. If five cards are drawn, what is the probability of selecting five red cards?

Aiden travels 2.4 km in his boat to visit his cousin, Davie, who lives across the river at Pike Road. Aiden's house is 1.5 km from Pike Road. What is the width of the river, to the nearest tenth of a kilometre?

A ball was thrown upward into the air. The height, in feet, of the ball above the ground t seconds after being thrown can be determined by the expression -16t^2 + 40t + 3. What is the meaning of the 3 in the expression? A. The ball was thrown from a height of 3 feet. B. The ball took 3 seconds to reach the ground. C. The ball reached a maximum height of 3 feet. D. The ball took 3 seconds to reach its maximum height.

Emilio Ramirez has a 35%-off coupon and is purchasing a 3-light chandelier that has a regular price of $115.00. a. What is the markdown? b. What is the sale price? e. What is the sale price using the percent paid method?

What is the probability in a standard normal distribution that a data value lles more than 3 standard deviations from the mean? 0.0015 0.025 0.15 0.3