Math Questions

A researcher found a Person correlation, r=-0.42 between frequency of binge drinking and GPA in a sample of n = 29 undergraduate students. With the 2-tails test, he should conclude that there is a significant negative relationship between these variables with p <.05 but not with p <.01. there is a significant negative relationship between these variables with p <.01 but not with p <.05. there is a significant negative relationship between these variables with either, p <.05 or p <.01 there is no significant relationship between these variables with neither, p <.05 nor p <.01

A football player attempts a total of 8 passes in overtime. Each pass can result in one of 3 possible outcomes (a completion, an incompletion, or a turnover). How many ways could they complete the 8 passes?

At Imelda's fruit stand, you bought 5 apples and 4 oranges for $10, and your friend bought 5 apples and 5 oranges for $11. Using this information, is it possible to determine the cost of one apple and one orange from the fruit stand? If so, what do they cost? If not, why not? Choose 1 answer: Yes; they should charge $1.00 for an apple and $1.25 for an orange. Yes; they should charge $1.20 for an apple and $1.00 for an orange. No; the system has many solutions. No: the system has no solution.

The average driver spends $54 at the gas station each week with a standard deviation of $8. Assuming that the amount a driver spends on gas follows a normal distribution, solve for the percentage of drivers who spend: 1. More than $40? 2. Less than $30? 3. Between $30 and $40 Include your work with your answer to receive full credit.

Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. This is common difference common ratio 20, 15, 10, ...

Two cyclists leave towns 180 miles apart at the same time and travel toward each other. One cyclist travels 8 slower than the other. If they meet in 5 hours, what is the rate of each cyclist? h Note that the ALEKS graphing calculator can be used to make computations easier. Rate of the slower cyclist: Rate of the faster cyclist: ?

Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects Probability 0.260 0.291 0.240 0.155 0.044 (a) Find the mean, variance, and standard deviation of the probability distribution. The mean is

Exactly 62% of the teachers in your school are under 47 years old. In addition, 4% of the teachers are over 49 years old. What is the probability that a teacher chosen at random is under 47 or over 49 years old? 62% 72% 66% 58%

The Jones family and the Griffin family each used their sprinklers last summer. The water output rate for the Jones family's sprinkler was 20 L per hour. The water output rate for the Griffin family's sprinkler was 25 L per hour. The families used their sprinklers for a combined total of 50 hours, resulting in a total water output of 1075 L. How long was each sprinkler used?

One month Rachel rented 7 movies and 9 video games for a total of $71. The next month she rented 5 movies and 3 video games for a total of $31. Find the rental cost for each movie and each video game.

A motorboat takes 3 hours to travel 108 miles going upstream. The return trip takes 2 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?

f(x)=32-15 ln(3x) on the interval [3,9]. Enter DNE for any absolute extrema that does not exist. Absolute maximum = Absolute minimum =

An airplane is flying at an altitude of 12,600 feet above the ground. The angle of depression from the plane to the base of a tree is 15° 45'. How far horizontally must the plane fly in order to be directly over the tree?

Jack is a teacher and takes home 86 papers to grade over the weekend. He can grade at a rate of 11 papers per hour. Write a recursive sequence to represent how many papers Jack has remaining to grade after working for n hours.

The formula d = rt is used to calculate the distance an object travels over a period of time, t, at a constant rate, r. Based on this formula, what is the rate, r, in terms of d and t? A) r = d/t B) r = dt C) r = t/d D) r = d - t

Cindy measured a community college and made a scale drawing. The scale she used was 1 centimeter: 3 meters. A building at the college is 53 centimeters long in the drawing. How long is the actual building?

A dairy farmer uses a storage silo, shown below, that is in the shape of a right circular cylinder below. If the volume of the silo is 72pi cubic yards, what is the diameter of the base of the cylinder, in yards? 3 6 7 9

Find the amount of money (Future Value) in an account where $3,700 is deposited (Present Value) at an interest rate of 2.5% per year compounded continuously and the money is left in the account for 6 years.

A population of frogs in a pond increases at an annual rate of 22%. If there are 100 frogs in the pond, which equation gives you a model for how many frogs there will be in time t years? a. Pt = 100e^0.22t b. Pt = 100e^0.22/t c. Pt = 100e^-0.22/t d. Pt = 100e^-0.22t

Point R is located at (1, 2) on a coordinate grid. Point S is located at (4,-5) on the same coordinate grid. What is the distance from point R to point S, rounded to the nearest tenth? A 3.2 units B. 4.6 units C. 7.6 units D. 10.0 units

The equation above is used to model the relationship between the number of cups, n, of hot chocolate sold per day in a coffee shop and the average daily temperature, T, in degrees Fahrenheit. According to the model, what is the meaning of the 3 in the equation? A) For every increase of 3°F, one more cup of hot chocolate will be sold. B) For every decrease of 3°F, one more cup of hot chocolate will be sold. C) For every increase of 1"F, three more cups of hot chocolate will be sold. D) For every decrease of 1"F, three more cups of hot chocolate will be sold.

After all the taxes are withheld, Jules's take-home pay is about 72% of his total earnings. Estimate his take-home pay if his total earnings for the pay period are $240. 75 120 180 300

Find the standardized test statistic t for a sample with n = 12, x-bar = 18.8, and s = 2.1. Assume that the significance level is a = .01 and the alternative hypothesis is Ha: m : ≠ 19.3. -0.008 -0.037 -0.381 -0.825

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 312, 306, 300, ... Find the 47th term.

An airline claims that the no-show rate for passengers booked on its flights is less than 6%. Of 380 randomly selected reservations, 18 were no-shows. Assuming that this data is used to test the airline's claim, find the P-value for the test. 0.1499 0.1230 0.3508 0.0746

A person invests money in a savings account that pays 2.5% simple interest. After one year, the person earns $24.25 in interest. How much did this person initially invest in the account (rounded to the nearest dollar)? Use the formula P=1/rtwhere P is the principle, /is the interest earned, r is the interest rate and t is the time, to find the initial investment. $1,230 $125 $1,170 $970

The average life span of one particular brand of refrigerator is 12 years with a standard deviation of 0.8. Find the percentage of refrigerators that last for more than 14 years. 0.62% 6.2% 0.60% 62%

Rey says that this is an obtuse triangle. She is correct, which best describes the reason she justified her answer: 7,24,28 7 + 24 is greater than 28 28² = 7² +24² 28² >7² +24² 28²< 7² +24²

Your candy factory makes Sticker Bars and N&N's. For each case of Stickers, you make $40 profit. For each case of N&N's, you make $55 profit. It takes 2 machine-hours to make Stickers and 5 man-hours to produce one case of candy. It takes 6 machine-hours to make N&N's and 4 man-hours to produce one case of candy. The total number of hours cannot exceed 150 machine-hours and 155 man-hours. Find the number of each type of candy that can be produced in order to maximize profit. Then determine the profit.

A population numbers 11,000 organisms initially and decreases by 2.9% each year. Suppose P represents population, and t the number of years of growth. Write an exponential model, P, in the form P = a b^t

Which statement is true? A. A sample statistic can never be equal to the population parameter. B. Point estimates are defined for both samples and populations. C To calculate a sample proportion, we need to know the population size. D. To calculate a point estimate, we need to know the sample size.

A college requires all incoming freshmen to live on campus. The college has two freshman dormitories, East and West. For an upcoming school year, there are 800 incoming freshmen. Which method evenly assigns the students to the two dormitories so that each Incoming freshman has a fair chance of being selected for either dormitory? A. Using a random number generator, assign each incoming freshman a number, eliminating any duplicate numbers. Assign each incoming freshman with a positive number to East dormitory, and assign each incoming freshman with a negative number to West dormitory. B. Using a two-sided coin, flip a coin for each incoming freshman. If the coin lands on heads, assign the freshman to East dormitory. If the coin lands on tails, assign the freshman to West dormitory. C. Using a random number generator, assign each incoming freshman a number, eliminating duplicate numbers. After each Incoming freshman is assigned a number, list the assigned numbers in ascending order. Assign the first 400 numbers on the list to East dormitory, and assign the last 400 numbers on the list to West dormitory. D.Using a random number generator, assign each incoming freshman a number, eliminating any duplicate numbers. Assign each incoming freshman with an even number to East dormitory, and assign each freshman with an odd number to West dormitory.

The number of hamburgers, and number of sodas, y, that Shaquile can purchase with $12 is represented by the inequality 4x + 2y ≤ 12 Which coordinate pair(s) (x, y) represent a possible number of hamburgers and sodas that Shaquile can purchase? Select all that apply.

Suppose you pay $1.00 to roll a fair die with the understanding that you will get $3.00 back for rolling a 4 or a 2, and nothing otherwise. What is the expected amount you will win? - $1.00 $0.00 $3.00 $0.33 $1.00

Solve the following inequality for x. -4x-6/2 > 5 Do not include spaces in your answer. Write your answer as an inequality statement with x, then the < or > sign, followed by a number.

A nationwide study of American homeowners revealed that 65% have one or more lawn mowers. A lawn equipment manufacturer, located in Omaha, feels the estimate is too low for households in Omaha. To test the claim, the manufacturer randomly selects 497 homes in Omaha, and finds that 340 of them had one or more lawn mowers. Find the p-value for this test. 0.0252 0.1118 0.0505 0.0555

Denis examined the records of the clients who had joined his gym more than six months ago, and he found the following: P(joined in January) = 0.12 P(member for over 6 months) = 0.5 P(over 6 months and joined in January) = 0.024 Find the probability that a client remained a member for more than 6 months, given that the client joined in January, and write the equation in proper notation.

III. Always, Sometimes, or Never. 29. A diameter is a chord. 30. A segment with both endpoints on a circle is a radius.. 31. A secant to a circle a tangent to the same circle. 32. A chord of a circle can be a radius. 33. Two externally tangent circles can have more than two common tangents. Two tangents to a circle at the ends of a diameter are parallel.

student draws a circle with a radius of 3 inches and highlights an are on the circle that measures inches. What is the radian measure of the central angle that is subtended by the highlighted arc? A 5π/6 radians B 18π/5 radians C 15π/6 radians D 5π/18 radians

Does a system of linear equations always have a solution? What about the following system? x + 3y = 1; 2x+6y=3 If we think of the two equations in the above system as two "straight lines" in the plane, can you explain why the system doesn't have a solution?

Three starting youth basketball players are ages 8, 10, and 9. Solve for the probability that a sample of two is randomly chosen. Show your work and explain the steps you used to solve.

A wire is attached to the top of the tower and to a point on the ground that is 35 m from the base of the tower. If the wire makes a 65° angle with the ground, how long is the wire?

The student council at a high school is conducting a survey to get feedback from students about a recent school event. This is one of the questions the student council included on the survey: Yes or no? Would you attend another school event that included the same food and entertainment? Which statement is true about the question? A. The question is an appropriate survey question. B. The question is an inappropriate survey question because it uses absolute language. C. The question is an inappropriate survey question because it is a leading question. D. The question is an inappropriate survey question because it is a double-barreled question.

Enrollment in a business seminar increased from 71 people to 81 people. What was the percent of increase? Round to the nearest tenth of a percent.

A student council wants to know whether students would like the council to sponsor a mid-winter dance or a mid-winter carnival this year. Classify each sampling method. a. Survey every tenth student on the school's roster. b. Survey all students in three randomly selected homerooms. c. Survey a random selection of those who happen to be in the cafeteria at noon. d. Survey those who ask the council president for a questionnaire.

A 20 foot ladder is leaning against a house. The bottom of the ladder is 3ft. from the house. To the nearest tenth of a foot, about how high does the top of the ladder reach? 19.2 ft 19.8 ft 19.4 ft 19.6 ft

An air traffic controller is tracking two planes. To start, Plane A is at an altitude of 3025 feet and Plane B is just taking off. Plane A is gaining altitude at 25.25 feet per second and Plane B is gaining altitude at 85.75 feet per second. How many seconds will pass before the planes are at the same altitude? seconds What will their altitude be when they're at the same altitude? feet

A glider flies 8 miles south from the airport and then 15 miles east. Then it flies in a straight line back to the airport. What was the distance of the glider's last leg back to the airport? 17 miles 18 miles 19 miles 16 miles

Juan runs a company that makes pens. He notices that 1 out of every 9 pens are faulty. He uses a standard deck of cards to model the situation, with all the 10s representing faulty pens. Which statement about his model is true? a. His model cannot be improved. b. His model can be improved the most by removing all the hearts from the deck. c. His model can be improved the most by removing all face cards from the deck. d. His model can be improved the most by removing all the face cards and aces from the deck.

The fare for a taxi cab is a $2 flat fee plus an additional $1.50 for each mile. Which equation represents the total cab fare in dollars? A y+2=1.5x,y represents miles traveled, x represents the total fare B. y = 1.5x + 2y represents the total fare, x represents miles traveled C. 1.5y=x+2y represents the total fare, x represents miles traveled D. y = (1.5+ 2)x,y represents miles traveled, x represents the total fare