Math Questions

In one state the gestation period had a mean of 280 days with a standard deviation of 11 days. What is the probability that a baby is born between 11 days early and 22 days late? Use the 68-95-99.7 normal distribution curve. 97.35% 81.5% 83.85% 81.3%

On a particular day, the mean price of gasoline was $3.63 a gallon with a standard deviation of $0.20 a gallon. What Is the probability that a gas station has a price between $3.43 and $3.63 a gallon? Use the 68-95-99.7 normal distribution curve. 15.85% 49.85% 13.50% O 2.35% 34.00%

In a random sample of 21 people, the mean commute time to work was 33.1 minutes and the standard deviation was 7.2 minutes. Assume the population is normally distributed and use a t-distribution to construct a 80% confidence interval for the population mean μ. What is the margin of error of u? Interpret the results. The confidence interval for the population mean μ is (- (Round to one decimal place as needed.) The margin of error of μ is. (Round to one decimal place as needed.) Interpret the results. A. It can be said that 80% of people have a commute time between the bounds of the confidence interval. B. With 80% confidence, it can be said that the commute time is between the bounds of the confidence interval. C. If a large sample of people are taken approximately 80% of them will have commute times between the bounds of the confidence interval. D. With 80% confidence, it can be said that the population mean commute time is between the bounds of the confidence interval.

Part C: Write and solve a system of inequalities to model the following situation: An acting company is holding a performance in an arena. They are selling student tickets for $2 and adult tickets for $4. The arena can hold at most 200 people (students and adults). No more than 25% of the people should be adults. The company is hoping to make at least $400 in ticket sales. How many student tickets and how many adult tickets should be sold to maximize the amount of money earned?

The population of a certain city was 4,192 in 2002. It is expected to decrease by about 0.38% per year. Write an exponential decay function, and use it to approximate the population in 2022. The exponential decay function where f(x) is the population of the city x years after 2002 is f(x) = The approximate population of the city in 2022 will be (Round to the nearest whole number as needed.)

Describe and correct the error a student made in identifying the growth or decay factor for the function y = 2.55(0.7)^x Choose the correct answer below and fill in the answer boxes to complete your choice. (Type integers or decimals.) A. The student incorrectly identified the decay factor. The rate of decay is so the decay factor is B. The student incorrectly identified the base. The base is decay factor is , so the C. The student incorrectly identified the function as exponential decay. It represents exponential growth. The rate of growth is so the growth factor is D. The student incorrectly identified the base and incorrectly identified the function as exponential decay. The base is____ So, the rate of growth is___and the growth factor is

Which of the following statements is true? The sum of the exterior angles of a triangle is 360°. The exterior angle at each vertex of a triangle is equal to the sum of the interior angles at the other two vertices. The sum of the interior and exterior angles at any one vertex of a triangle is 180°. All of these.

The area of a rug is represented by the following expression, x² + 4x-12, which of the following expressions represents the width of the rug if the length is x+6. (A ) x-6 (B) x+2 (C) x -2 (D) x+6

Write the contrapositive and negation of the statement. If it is not raining then I will drive. contrapositive: If it is raining then I will not dive. negation: It is raining and I will drive. contrapositive: If I will drive then it is not raining. negation: If it is not raining then I will not drive. contrapositive: If I will not drive then it is raining. negation: It is not raining and I will not drive. contrapositive: If I will not drive then it is not raining. negation: If it is not raining then I will not drive.

How many different 10-letter words (real or imaginary) can be formed from the following letters? K, G, C, I, A, A, G, M, X, T ten-letter words (real or imaginary) can be formed with the given letters. (Type a whole number.)

The average salary of all workers in a auto manufacturing plant is $37,000 in a study about the plant. Does this value describe a population parameter or a sample statistic? Sample Statistic Population Parameter

Find the sum and enter it in the box below. Enter your answer as a polynomial in descending order, and use the caret (^) for exponents. For example, you would write 4x² as 4x^2. x^5+2x³ +2x² +6x+3 + -3x -3x4 +2x³ +6x

Gamestop wanted to find out which console its customers owned. Which best represents the population? All gamers. People window shopping outside of the store. Customers in the PS4 section. All Gamestop customers.

Let z represent the calculated z-score. If your critical z-score is 1.96, when do you reject the null hypothesis for a two-talled test? When z < 1.96 When z> 1.96 When z> -1.96 or z < 1.96 When z<-1.96 or z > 1.96

The equation below specifies a function. Determine whether the function is linear, constant, or neither. 2x+3y=7 Choose the correct answer below. A. A constant function is specified by the equation. B. Neither a constant function nor a linear function is specified by the equation. C. A linear function is specified by the equation.

A person places $1380 in an investment account earning an annual rate of = 8.6%, compounded continuously. Using the formula V Pert, where Vis the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 10 years.

One hundred students out of 1200 at a school have been surveyed. Predict the number of students in the population that would answer similarly. Fourteen said they had an after-school job. 114 students 168 students 8571 students 147 students

A boy flying a kite lets out 300 feet of string which makes an angle of 38° with the ground. Assuming that the string is straight, how high above the ground is the kite?

The size of fish is very important to commercial fishing. A study conducted in 2012 found the length of Atlantic cod caught in nets in Karlskrona to have a mean of 49.9 cm and a standard deviation of 3.74 cm (Ovegard, Berndt & Lunneryd, 2012). Assume the length of fish is normally distributed. a. State the random variable.. b.Find the probability that an Atlantic cod has a length less than 52 cm. c. Find the probability that an Atlantic cod has a length of more than 74 cm. d. Find the probability that an Atlantic cod has a length between 40.5 and 57.5 cm. e. If you found an Atlantic cod to have a length of more than 74 cm, what could you conclude? f.What length are 15% of all Atlantic cod longer than?

Students are raising money for a charity by asking for donations at a supermarket. The likelihood that a customer will donate is P(A) = 0.15. If students approach ten customers, what is the probability that none of those customers donates money? P(A')10 = 0.10 P(A')10 = 0.15 P(A')10 = 0.20 P(A')10 = 0.85

The limit of the difference quotient, -21, from Part 1 above is (select all that apply). A. ƒ(−2). B. the slope of the tangent line to the graph of y = f(x) at x = -2. C. the slope of the secant line to the graph of y = f(x) at x = -2. D. the instantaneous rate of change of f at x = -2. E. the average rate of change of fat x = -2. F. f'(-2)

Suppose a city with population 600,000 has been growing at a rate of 6% per year. If this rate continues, find the population of this city in 20 years. The population in 20 years will be approximately (Round to the nearest whole number as needed.)

Question Help To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models o Make B. The mean braking distance for Make A is 44 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 45 feet. Assume the population standard deviation is 4.5 feet. At a=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). (a) Identify the claim and state Ho and Ha What is the claim? A. The mean braking distance is greater for Make A automobiles than Make B automobiles. B. The mean braking distance is less for Make A automobiles than Make B automobiles. C. The mean braking distance is the same for the two makes of automobiles. D. The mean braking distance is different for the two makes of automobiles.

A distribution has a mean of 300 and a standard deviation of 45. What is the probability that a score is less than 210? Use the 68-95-99.7 rule. 68% 16% 95% 2.5%

A certain lottery has 30 numbers. In how many different ways can 5 of the numbers be selected? (Assume that order of selection is not important.) There are different ways the numbers can be selected. (Simplify your answer.)

2) Jasmine is selling fruit for her youth group fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. During the first week, Jasmine sold 14 small boxes and 12 large boxes of oranges for a total of $306. During the second week, Jasmine sold 14 small boxes and 2 large boxes of oranges for a total of $156. What is the cost of a small box of oranges and the cost of a large box of oranges? Let x = Let y = Equation 1: Equation 2: Solution: A small box costs and a large box costs

The surface area of a small toy ball is 18 square inches. If the radius of the ball is tripled, what will be the surface area of the new, larger ball in square inches? F 18 in.² H 54 in.² G 36 in.2 J 162 in.²

Broderick is playing a game where he must roll a number cube. The faces of the number cube are labeled 1 through 6. If Broderick rolls a 6 on the number cube, he must roll the cube again. What is the probability that Broderick rolls a 6 on the number cube three times in a row? A 1/6 B 1/18 C 1/2 D 1/216

Determine whether the function represents exponential growth or decay. Write the base in terms of the rate of growth or decay, identify r, and interpret the rate of growth or decay. y = 12,600(9/10)x The function y = 12,600(9/10)x represents exponential Rewriting the base in terms of the rate of growth or decay results in the function y = 12,600 ()x In this function, r = which indicates that the value of yby % each time period.

The population of a certain city was 4,229 in 2005. It is expected to decrease by about 0.34% per year. Write an exponential decay function, and use it to approximate the population in 2028. The exponential decay function where f(x) is the population of the city x years after 2005 is f(x) =

Use the information to answer the following question. A rectangular garden has a length that is 3 feet longer than its width. Let w represent the width of the garden in feet. The entire garden is surrounded by a 2-foot-wide cement walkway. What does the algebraic expression (w + 4)(w + 7) represent in this context? A. the perimeter of the walkway only B. the perimeter of the garden only C. the area of the garden only D. the total area of the garden and walkway

15. What is the volume of a pyramid with a height of 10 units and a rectangular base with dimensions of five units by nine units? A. 55 cubic units B. 150 cubic units C. 300 cubic units D. 450 cubic units

Suppose $12000 is invested at 6% interest compounded continuously. How long will it take for the investment to grow to $24000? Use the model A(t) = Pert and round your answer to the nearest hundredth of a year. It will take years for the investment to reach $24000.

A person receives gifts for her 18th birthday totaling $750. She also saved 5 points $1,500 from her summer job and keeps the money at home in a safe place. She wants to buy a car when she turns 21. She has a part-time job and plans to work full time next summer and save most of that money. She has a monthly cell phone bill and a credit card that she uses for emergencies and then pays the bill in full each month. Which of the following is the most financially wise recommendation for her when it comes to opening bank accounts at this time? She should open a checking account with $1,000 and keep the rest of the money in cash at home for emergencies. She should put $1,500 in a two-year CD, $600 in a checking or NOW account, and keep $150 in cash. She should put $2000 in a five-year CD and open a checking account with the $250 left. She should put $750 into a savings account, $1,000 into a checking account, and keep $500 in cash at home for emergencies.

Find the product and enter it in the box below. Enter your answer as a polynomial in descending order and use the caret (^) for exponents. For example, you would write 4x2 as 4x^2. (5x+1)(5x+8)

A cylinder has a radius of 4 it and a height of 6 ft. A cone has the same radius as the cylinder. Find the height of the cone if the two have the same volume. Leave in terms of Use pi for . Volume of cylinder = h= HET

Consider the following statistics. Sample size (n) = 10 Sample mean (T) = 66 Sample variance (S²) = 10 If the population mean is 64, is there a significant difference between the population mean and sample mean? (Use: The tabulated value of t for 9 degrees of freedom at a 5% level of significance is 2.26.) No, because 1.90 < 2.26. Yes, because 1.90 < 2.26. No, because 2 < 2.26. Yes, because 2 < 2.26.

Suppose an investor deposits $28,000 into an account for which interest is compounded monthly. Find the amount of money in the account after 6 years using the following interest rates. 1. If r = 3.5%, then the investment is worth after 6 years. 2. If r = 5.5%, then the investment is worth after 6 years. 3. If r = 7%, then the investment is worth after 6 years. 4. If r = 9%, then the investment is worth after 6 years. • Round your answers to the nearest cent. Use a dollar sign to indicate that your answer is a monetary value.

The Drama club is selling tickets to a theater performance. On the first day of ticket sales the club sold 8 adult tickets and 8 student tickets for a total of $184. The club took in $100 on the second day by selling 1 adult ticket and 8 student tickets. Find the price of each adult ticket and the price of each student ticket. Let x = Let y = Equation 1: Equation 2:

A jar contains 3 red, 5 green, 2 blue and 6 yellow marbles. A marble is chosen at random from the jar. After replacing it, a second marble is chosen. What is the probability of choosing a green and then a yellow marble? a) 5/16 b) 30/16 c) 15/128 d) 30/128

Cindy found a collection of baseball cards in her attic worth $8,000. It is estimated to increase in value by 1.5% per year. Write an exponential growth function and find the value of the collection after 7 years. The exponential growth function that represents this situation is f(x) = . (Simplify your answer.)

The diameter of a circle is 13 m. Find its area to the nearest tenth. A = m2

Which polynomial represents the difference below? ²-3x+10-(9x8+4x) A. 8x¹+x+10 B. -9x¹5+x²+x+10 C. 10x¹5 + 12x+10 D. -9x8+X7-7X+10

What steps do you need to take to solve the equation 1/2x+6=18? Choose the correct answer below. A. Add 6. Then, multiply by 2. B. Subtract 6. Then, divide by 2. C. Add 6. Then, divide by 2. D. Subtract 6. Then, multiply by 2.

Find the sum: (x ^8 + 3x^6-4x^4+10x) + (2x^7-4x^5-x³ + 10). A. 2x² + 4x ^6+ 2x^5-2x^4 -5x³-x² + 17x+17 B. x^8+2x^7+3x^6 - 4x^5 - 4x^4 + x² + 9x+10 C.x^8+2x^7+3x^6-4x^5-4x^4-x³ + 10x + 10 D. 3x^7-7x^5-x² + 20

A printer cartridge company claims their ink lasts for more than 5,000 words. The number of words printed is normally distributed with a standard deviation of 20 (σ=20) A sample was taken of 50 cartridges and it was found that they had a mean of 4,940 words. Construct a 95% confidence interval (z = 1.96). Using the interval does the company's claim hold true? a. No, the companies claims are above the 95% confidence interval. b.Yes, the companies claims fall within the 95% confidence interval. c. No, the companies claims are below the 95% confidence interval. d. Yes, the companies claims are below the 95% confidence interval.

A company owns 250 vehicles and keeps records on when the vehicle was purchased and all maintenance done on the vehicles. A sample of ten vehicles is safety tested. The proportion of vehicles less than ten years old among the 250 vehicles owned by the company is an example of a parameter a statistic a z-score an acceptance region

What is the correct meaning of statistical significance? The result is statistically important. The result is statistically meaningful. The result is significant and due to chance.. The result is significant and, therefore, is not by chance.

What is the degree of freedom for the critical t-value of a population that has 450 sample differences? 224 449 225 451

GIVEN: P(A) = 0.4 andP(B) = 0.35 If the probability of P(B∩A) = 0.75, are events A and B independent? a) No, becauseP(A) · P(B) ≠ 0.75 b) Yes, becauseP(A) · P(B) = 0.75 c) No, becauseP(A) + P(B) = 0.75 d) Yes, becauseP(A) · P(B) = 0. 14