Math Questions

Give the slope and y-intercept for the following equation. 2r + 5y = 10

Which of the following is not the decision rule for hypothesis test? If the P-value is less than alpha, then reject the null hypothesis. If the P-value is less than alpha, then reject the alternate hypothesis. If alpha is less than the P-value, then reject the null hypothesis. If alpha is greater than the P-value, then reject the alternate hypothesis.

Casey conducted research on the amount of time people spent at the mall and the amount of money they spent. Casey calculated the line of best fit as f(x) = 1.05x-2.63 and correlation coefficient of r = 0.08 for her data set. Which statement best describes the relationship between the amount of money spent and the amount of time people were in the mall? A. The events have a little or no correlation B. The events have a weak positive linear correlation. C. The events have a strong positive linear correlation. D. The events have a strong negative linear correlation.

You are given the choice between a yearly payment of $3,405 that increases by $151 every year or a yearly payment of $3,405 that increases by 2.8% compounded annually. How much money would you make after 13 years if you chose the exponential payment? Do not include the dollar sign in your answer. Round to the nearest cent.

You have two job offers that you are considering. Offer 1: You earn a yearly salary of $47,130 that increases by $3,791 every year. Offer 2: You earn a yearly salary of $47,130 that increases by 2.4% 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.

The diameter of a circle is 14 m. Find its area to the nearest tenth.

A test of significance with a = 0.05 results in a p-value of 0.1. What do you conclude? A. The null hypothesis is rejected. B. The null hypothesis is not rejected. C. The alternative hypothesis is not rejected. D. The null hypothesis is accepted.

A farmer is going to divide her 60 acre farm between two crops. Seed for crop A costs $40 per acre. Seed for crop B costs $20 per acre. The farmer can spend at most $1600 on seed. If crop B brings in a profit of $90 per acre, and crop A brings in a profit of $60 per acre, how many acres of each crop should the farmer plant to maximize her profit?

Find the equation of the line containing the point whose coordinates are (-1, 2) and perpendicular to the graph of 3x + 9y = -3.

Use the normal distribution of SAT critical reading scores for which the mean is 514 and the standard deviation is 109. Assume the variable x is normally distributed. (a) What percent of the SAT verbal scores are less than 600? (b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 550?

Bill is trying to plan a meal to meet specific nutritional goals. He wants to prepare a meal containing rice, tofu, and peanuts that will provide 159 grams of carbohydrates, 320 grams of fat, and 184 grams of protein. He knows that each cup of rice provides 41 grams of carbohydrates, 0 grams of fat, and 2 grams of protein. Each cup of tofu provides 6 grams of carbohydrates, 8 grams of fat, and 22 grams of protein. Finally, each cup of peanuts provides 25 grams of carbohydrates, 74 grams of fat, and 29 grams of protein. How many cups of rice, tofu, and peanuts should he eat?

Question Help Aused car dealer says that the mean price of a three-year-old sports utility vehicle is $19,000. You suspect this claim is incorrect and find that a random sample of 20 similar vehicles has a mean price of $19,648 and a standard deviation of $1928. Is there enough evidence to reject the claim at a=0.05? Complete parts (a) through (e) below. Assume the population is normally distributed.

Use differentials to estimate the amount of paint needed to apply a coat of paint .05 cm thick to a hemispherical dome with diameter 50 m.

You are skiing down a mountain with a vertical height of 1000 feet. The distance from the top of the mountain to the base is 2000 feet. What is the angle of elevation from the base to the top of the mountain?

For the line 3x - 4y -12 = 0, which statement is true? The x-intercept is 3, and the y-intercept is 4. The x-intercept is 3, and the y-intercept is -4. The x-intercept is 4, and the y-intercept is 3. The x-intercept is 4, and the y-intercept is-3.

The radius of a circle is 5 cm. Find its area to the nearest tenth.

A farmer is going to divide her 60 acre farm between two crops. Seed for crop A costs $5 per acre. Seed for crop B costs $10 per acre. The farmer can spend at most $550 on seed. If crop B brings in a profit of $60 per acre, and crop A brings in a profit of $90 per acre, how many acres of each crop should the farmer plant to maximize her profit?

The standard deviation of a probability distribution is 85, and using the 68-95-99.7 rule, about 68% of the values lle between 540 and 710. What is the mean of this distribution? 625 455 795 795

Find the exact value of the expression. sec ( tan^-1 (8/9) = Select the correct choice and fill in any answer boxes in your choice below. A. sec ( tan^-1 (8/9) = B. There is no solution.

Suppose that 288 out of a random sample of 400 letters mailed in the United States were delivered the day after they were mailed. Based on this, compute a 90% confidence interval for the proportion of all letters mailed in the United States that were delivered the day after they were mailed. Then find the lower limit and upper limit of the 90% confidence interval.

A basketball team has ten players. Each day at practice, one is chosen to bring out the basketballs and another is chosen to return the basketballs to the storage closet. What is the chance that Demetrius will bring out the basketballs and Sam will return the basketballs to the storage closet for thirty practices in a row?

A spotlight on the ground is shining on a wall 12m away. If a woman 2 tall walks from the spotlight toward the building at a speed of 0.8m/s, how fast is the length of her shadow on the building decreasing when she is 4m from the building?

9.) The equation y= 19x + 350 represents the relationship between the total 1 point cost, in dollars, y, to rent a banquet hall for a party, and the number of people attending, x. Select all true statements. * The y-intercept is 19. The y-intercept is 350 The slope is 350. The slope is 19. The y-intercept represents the cost per person attending. The y-intercept represents the initial cost. The slope represents the cost per person attending. The slope represents the initial cost. Y represents the total cost to rent the banquet hall.

The dog has a litter of eight puppies. Your dad wants to sell three of them. How many ways can he make the group of three to sell? 8 4 56 336

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?