Math Questions

Dylan bought 3 identical shirts online for a total cost of $71.83 including a flat rate of $7.99 for shipping. Drag numbers to complete an equation to find the cost of each shirt, s. Each number may be used only once.

Which description represents this equation? 7x-2=33 Two times the quantity of seven less than a number equals thirty-three. Seven less than two times a number equals thirty-three. Two less than seven times a number equals thirty-three.

Change 749,921,154 to Roman numeral (Assume the Roman Numerals in blue have double bar over them and Roman Numerals in red have one bar over them) CDCXLVIII MXXI CCXXXIX DCCXLIX CMXXXI CCLIV DCXLVIII MCXXI CLIV DCCXLIX CMXXI CLIV

Nick and Miguel are the partners in a local health food store. They need $85,000 to start the business. They invested in the ratio 3:7, Nick and Miguel respectively. How much money did Nick invest? Just input the numbers in your answer. Do not insert a dollar sign.

Find the rate of increase (with respect to r) in the surface area (S = 47²) of a spherical balloon when: (A) r = 1 inches → Rate of increase = (B) r = 4 inches → Rate of increase = (C) r = 5 inches → Rate of increase =

An energy company wants to choose between two regions in a state to install energy-producing wind turbines. A researcher claims that the wind speed in Region A is less than the wind speed in Region B. To test the regions, the average wind speed is calculated for 60 days in each region. The mean wind speed in Region Ais 13.8 miles per hour. Assume the population standard deviation is 2.8 miles per hour. The mean wind speed in Region B is 15.1 miles per hour. Assume the population standard deviation is 3.2 miles per hour. At a=0.05, can the company support the researcher's claim? Complete parts (a) through (d) below. (a) Identify the claim and state Ho and Ha What is the claim? A. The wind speed in Region A is less than the wind speed in Region B. B. The wind speed in Region A is not less than the wind speed in Region B. C. The wind speed in Region A is not greater than the wind speed in Region B. D. The wind speed in Region A is the same as the wind speed in Region B.

The slope of the line tangent to the curve 4x² + 3xy + 2y³ = 44 at the point (2, 2) is:

You want to buy a washing machine, and a salesperson tells you that the mean repair costs for Model A and Model B are equal. You research the repair costs. The mean repair cost of 21 Model A washing machines is $214. Assume the population standard deviation is $17. The mean repair cost of 28 Model B washing machines is $220. Assume the population standard deviation is $22. At a=0.01, can you reject the salesperson's claim? 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 H₂- What is the claim? A. The mean repair costs for Model A and Model B are different. B. The mean repair cost for Model A is greater than Model B. C. The mean repair cost for Model A is less than Model B. D. The mean repair costs for Model A and Model B are equal.

The guidance department has reported that of the senior class, 2.3% are members of Key Club, K, 8.6% are enrolled in AP Physics, P, and 1.9% are in both. What is the probability of P given K? a) 22.1% b) 13.4% c) 82.6% d) 26.7%

If you flipped the graph of y=x²+2x-2 vertically, you would get the graph of y = -(x²+2x-2). A. True B. False

The senior class is planning to take two separate trips to Disneyland. On the first trip, the seniors had to rent 12 vans and 10 buses with 690 students. On the second trip, they only needed 7 vans and 10 buses as they only took 615 students. There was no difference in the size of the vans and no difference in the size of the buses. How many students went in each van? How many students went in each bus? Let x = Let y = Equation 1: Equation 2:

If a town with a population of 82000 people increases by 12% annually, what will the population be after 5 years? Round your answer to the nearest whole number.

Emma says that for f(x) = 8,000(0.95)X, the exponential growth is 0.95 and the y-intercept is 8,000. What is her error? Choose the correct answer below and fill in the answer box(es) to complete your choice. A. For f(x) to be an exponential growth model, a>__and b>___Since b = , it should be exponential decay, not growth. B. In an exponential growth model y = a.bx, the exponential growth r is found using the equation r = 1 - b. So, the exponential growth is. C. In an exponential growth model y = a bx, the exponential growth is a and the y-intercept is b. So, the exponential growth is__and the y-intercept is__ D. Emma found the x-intercept instead of the y-intercept. The x-intercept is 8,000 and the y-intercept is__

The distance, d, in kilometres, a spaceship travels in t hours is given by the formula d = 40 000t. How long will it take the spaceship to travel 120 000 km? 3h 30 h 0.3 h 300 h

A consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is greater than 14.6 seconds. A random sample of 21 sedans has a mean minimum time to travel a quarter mile of 15.3 seconds and a standard deviation of 2.09 seconds. At a=0.01 is there enough evidence to support the consumer group's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. (a) Identify the claim and state Ho and Ha-

Which values are solutions to the inequality below? Check all that apply. x2≤36 A. 6 B. 7 C. 3 D. 36 E. 39 F. no solutions

The current student population of the Brentwood Student Center is 2,000. The enrollment at the center increases at a rate of 4% each year. To the nearest whole number, what will the student population be closest to in 3 years'? 1) 2,240 2) 2,250 3) 5,488 4) 6,240

Solve the following system of equations. 2x² + 4y² = 132 5x² – 5y² = −45 Solution(s):

What is the coefficient of the term of degree 7 in the polynomial? 4+ 6x^7 +10x-5x^6-2x^5

Which polynomial represents the difference below? (5x^7 +9x^4+3)-(x^4-3x) A. 5x^7 + 8x^4+3x+3 B. 4x^7 + 8x^4 -3x+3 C. 4x^11 +8x³ +3 D. 8x+6

Which of the following is the correct factorization of the polynomial below? 8x3 +64y3 A. (4x+4y)(2x+8y) B.(2x+4y)(4x²-8xy+16y²) C. (4x+2y)(4x²-2xy + 16y²) D. The polynomial is irreducible.

Find the expected frequency, E₁, for the given values of n and pi n = 110, pi = 0.6

In a survey of 2250 adults, 712 say they believe in UFOs. Construct a 95% confidence interval for the population proportion of adults who believe in UFOs. A 95% confidence interval for the population proportion is (Round to three decimal places as needed.) Interpret your results. Choose the correct answer below. A. With 95% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval. B. The endpoints of the given confidence interval shows that 95% of adults believe in UFOs. C. With 95% confidence, it can be said that the sample proportion of adults who believe in UFOs is between the endpoints of the given confidence interval. D. With 95% probability, the population proportion of adults who do not believe in UFOs is between the endpoints of the given confidence interval.

A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 440 seconds and a standard deviation of 60 seconds. Find the probability that a randomly selected boy in secondary school can run the mile in less than 302 seconds. A) .9893 B) .0107 C) .5107 D) .4893

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