Math Questions

The test scores of the students in four classes are summarized below. Answer the questions about them. Class A: The mean score is 115 and the range of scores is 34. Class B: The mean score is 122 and the range of scores is 33. Class C: The mean score is 119 and the range of scores is 28. Class D: The mean score is 120 and the range of scores is 36. (a) Based on the information above, which class's scores have the most variability? Class A Class B Class C Class D (b) Based on the information above, which class has the lowest scores on average? Class A Class B Class C Class D X S ?

Boubacar and some friends are going to the movies. At the theater, they sell a bag of popcorn for $3.75 and a drink for $3.50. How much would it cost if they bought 6 bags of popcorn and 4 drinks? How much would it cost if they bought p bags of popcorn and d drinks? Total cost, 6 bags of popcorn and 4 drinks: Total cost, p bags of popcorn and d drinks:

The function h is defined as h (x) = 2x²-4 Find h (x+6).

10. Lin says that a solution to the equation 2x - 6 = 7x must also be a solution to the equation 5x - 6 = 10x. Write a convincing explanation about why this is true.

You want to buy a $197,000 home. You plan to pay 20% as a down payment, and take out a 30 year loan for the rest. a) How much is the loan amount going to be? b) What will your monthly payments be if the interest rate is 6%? c) What will your monthly payments be if the interest rate is 7%?

Indicate whether the equation has no solution or is true for all real numbers. If neither is the case, solve for the variable. 10x 2(3 + 5x) = -6 A) 3/5 B) {xlx is a real number} C) 5/3 D) Ø

Coffee: The National Coffee Association reported that 65% of U.S. adults drink coffee daily. A random sample of 300 U.S. adults is selected. Round yourmanswers to at least four decimal places as needed. (a) Find the mean µp? The mean is µp (b) Find the standard deviation σp PThe standard deviation σp is (c) Find the probability that more than 66% of the sampled adults drink coffee daily. The probability that more than 66% of the sampled adults drink coffee daily is (d) Find the probability that the proportion of the sampled adults who drink coffee daily is between 0.57 and 0.71. The probability that the proportion of the sampled adults who drink coffee daily is between 0.57 and 0.71 is

You want to buy a $209,000 home. You plan to pay 5% as a down payment, and take out a 30 year loan at 5.85% interest for the rest. a) What is the amount of the down payment? b) What will the amount of the mortgage? c) The bank charges 2.5 points on the loan. What is the amount charged for points?

You can afford a $1050 per month mortgage payment. You've found a 30 year loan at 6% interest. a) How big of a loan can you afford? $ b) How much total money will you pay the loan company? c) How much of that money is interest? SA

Think About the Process A restaurant customer left $2.20 as a tip. The tax was 7% and the tip was 20% of the after tax cost. Which information is not needed to compute the bill after tax and tip? What was the total bill? Which information is not needed to solve this problem? OA. The customer left $2.20 as a tip. B. The customer left a 20% tip. C. The tax was 7%. OD. All of this information is needed to solve the problem. The total bill is $

Which of the following is not a function for all values of x? f(x) = x³ f(x) = (-x)^1/2 f(x) = (-x)^1/3 f(x) = |-x|^1/2 f(x) = |-x|^1/3

Google it: According to a report of the Nielsen Company, 86% of internet searches used the Google search engine. A sample of 100 searches is studied. Use the Cumulative Normal Distribution Table or technology. Round your answer to four decimal places. (a) Approximate the probability that more than 82 of the searches used Google. The probability that more than 82 of the searches used Google was approximately

High blood pressure: The National Health and Nutrition Examination Survey reported that 34% of adults in the United States have hypertension (high blood pressure). A sample of 300 adults is studied. Use the Cumulative Normal Distribution Table or technology. Round your answer to four decimal places. Part: 0 / 3 Part 1 of 3 (a) Approximate the probability that 71 or more have hypertension. The probability that 71 or more have hypertension is approximately

Translate the sentence into an inequality. The sum of a number times 8 and 29 is greater than 23. Use the variable x for the unknown number.

A new lookout tower is going to be built so that it is the same distance from three ranger stations. If the stations are at A(-90, 28), B(0, -35), and C(125, 20) on a grid, determine the coordinates of the point where the new tower should be built.

A flag pole 25 feet tall casts a shadow 50 feet long at a certain time of day. Find, to the nearest degree, the angle of elevation of the sun at this time. Select one: a. 63° b. 27° c. 60° d: 30° Clear my choice

2. Determine the smallest angle of rotation for each regular polygon to be mapped onto itself? a. Equilateral Triangle b. Square c. Regular Pentagon d. Regular Hexagon e. Regular Octagon f. Regular Nonagon g. Regular Decagon h. Regular Dodecagon

Michael participates in several motocross races. He has won 8 more silver medals than gold medals. The number of bronze medals he has won is half that of the silver medals. If he has won 27 medals in total, how many of each type of medal has he won?

Sandy worked 5.9 hrs on Monday, 6.8 hrs on Tuesday, and 8.2 hrs on Thursday. If she earns $11.25 per hour, how much money did she make that week? (round to the nearest cent) * $2351.30 $23.51 $235.13 $235.12

Camden accepted a new job at a company with a contract guaranteeing annual raises. Camden's salary after working for n years can be determined using the equation S = 2000n + 55000. What is the slope of the equation and what is its interpretation in the context of the problem? The slope of the function is which represents

Evaluate the function below for x = 4. F(x)= 5 {3 if x < 0 5 if x ≥ 0 none of these. 0 3 5

Find the compound amount and the amount of interest earned by the deposit below. $8,000 at 6.56% compounded continuously for 4 years. What is the compound amount? $ (Do not round until the final answer. Then round to the nearest cent.) What is the interest earned? (Do not round until the final answer. Then round to the nearest cent.) ****

A computer user has downloaded 24 songs using an online file-sharing program and wants to create a CD-R with 12-songs to use in his portable CD player. If the order that the songs are placed on the CD-R is not. important to him, how many different CD-Rs could he make from the 24 songs available to him? There are possible CD-R's.

Consider a home mortgage of $150,000 at a fixed APR of 6% for 15 years. a. Calculate the monthly payment. b. Determine the total amount paid over the term of the loan. c. Of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest.

What is the slope of the line that passes through the points (2, 0) and (1, 0)? Write your answer in simplest form.

A jar contains 32 red marbles numbered 1 to 32 and 32 blue marbles numbered 1 to 32. A marble is drawn at random from the jar. Find the probability of the given event. (Round to 4 decimal places) a) The marble is red. P(red) = b) The marble is odd-numbered. P(odd) = c) The marble is red or odd-numbered. P(red or odd) = d) The marble is blue or even-numbered. P(blue or even) =

Suppose you deposited $400 in a savings account 2 years ago. The simple interest rate is 2.6%. The interest that you earned in those 2 years is $20.80. Which of the following is/are true? r= 2.6% t = 400 p=2 t=400 A. I= 20.80 B. r= 2.6% C.p=2 D. t= 400 Which of the following is/are true? Select all that apply.

The lengths of adult males' hands are normally distributed with mean 188 mm and standard deviation is 7 mm. Suppose that 42 individuals are randomly chosen. Round z-scores to 2 decimal places for use in calculations. Round all other answers to 4 where possible. a. What is the distribution of ? - N b. For the group of 42, find the probability that the average hand length is more than 189. c. Find the first quartile for the average adult male hand length for this sample size. d. For part b), is the assumption that the distribution is normal necessary? Yes No

A ball is drawn randomly from a jar that contains 2 red balls, 7 white balls, and 8 yellow balls. Find the probability of the given event, and show your answers rounded to 4 decimal places when possible. a. A red ball is drawn. P(red) = b. A white ball is drawn. P(white) = c. A yellow ball or red ball is drawn. P(yellow or red) =

Given the similar triangles below, A EDF A BAC, set up an equation that you would need to solve in order to find the missing side, a. Do not solve the equation!

An investment is worth $2966 in 1992. By 1996 it has grown to $4894. Let y be the value of the investment in the year x, where x = 0 represents 1992. Write a linear equation that models the value of the investment in the year x. y = 4x+2966 y=482x+ 2966 y = -482x + 2966 y = -482x + 6822

Container A and container B have leaks. Container A has 800 ml of water, and is leaking 6 ml per minute. Container B has 1000 ml, and is leaking 10 ml per minute. How many minutes will it take for the two containers to have the same amount of water?

Color blindness About 8% of males are color-blind. A researcher needs some color-blind subjects for an experiment and begins checking potential subjects. a) On average, how many men should the researcher expect to check to find one who is color- blind? b) What's the probability that she won't find anyone color-blind among the first 4 men she checks? c) What's the probability that the first color-blind man found will be the sixth person checked? d) What's the probability that she finds someone who is color-blind before checking the 10th man?

Solve the equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. 5(4x-4)=23 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is B. The solution set is (x|x is a real number). C. The solution set is . (Type an integer or a simplified fraction.)

Find the exact value of the following expression without using a calculator. COS x/6 (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) COS x/6

The population of a country reached 317 million in August 2013. Write that number in scientific notation. 317 million = (Use scientific notation. Use the multiplication symbol in the math palette as needed.)

Helen and Reid are walking to their classes at Cedarburg College. Helen comes from her dorm room, walking at a speed of 4 miles per hour down a straight path. Reid comes from the gymnasium on the other end of campus, moving up the same path at 3 miles per hour. If they start out 3 miles apart, how long will it be before they meet? If necessary, round your answer to the nearest minute.

If possible, use the Law of Syllogism to make a conclusion. If it is not possible to make a conclusion, tell why. If the sum of the digits in a number is 9, then the number is divisible by 9. If a number is divisible by 9, then it is divisible by 3.

Jason is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from his sales that day. The equation P = 100+ 0.03x represents Jason's total pay on a day on which he sells a dollars worth of computers. What is the y-intercept of the equation and what is its interpretation in the context of the problem? The y-intercept of the function is which represents

Graph one polynomial function g(x) such that all of the following hold: a. g(x) has a zero at x = -1 with multiplicity 2 b. g(x) has a zero at x = 2 with multiplicity 1 c g(x) has a zero at x = 3 with multiplicity 1 d. There are no other zeros except for the ones stated above.

There is a sales tax of $6 on an item that costs $80 before tax. The sales tax on a second item is $11.25. How much does the second item cost before tax? $

Suppose that the population of some state in 2010 was P = 35 million and its annual percentage rate of continuous growth is R = 1.06%. (a) Write the formula f(x) = P e^rx, where r is in decimal notation, that models the population in millions x years after 2010. (b) Estimate the population in 2022. ..... (a) f(x) = (Use integers or decimals for any numbers in the expression.) (b) The population in 2022 will be approximately

Through how many radians will the hour hand on a clock rotate in (a) 14 hr? In (b) 4 hr? (a) In 14 hr, the hour hand on the clock will rotate radians. 7x/3 (Type an exact answer in terms of . Type an integer or a simplified fraction.) (b) In 4 hr, the hour hand on the clock will rotate radians. (Type an exact answer in terms of . Type an integer or a simplified fraction.)

The length of a rectangular deck is 4 times its width. If the deck's perimeter is 20 feet, what is the deck's area?

Mr. Jackson borrowed money from his bank and on his life insurance to start a business. His interest rate on the bank loan was 10%, and his rate on the insurance loan was 16%. If the total amount borrowed was $100,000 and his total yearly interest payment was $12,100, how much did he borrow from the bank?

Let y = 2(x-3)^2-6. Is the given relation a function? Is it one-to-one? Explain completely. If it is not one-to-one, determine a possible restriction on the domain such that the relation is one- to-one.

Suppose the expression a(b)" models the approximate number of customers who applied for a credit card every month since a bank opened, where a is the initial number of customers who applied, b is the rate of Increase in the number of people who applied every month, and n is the number of months since the bank opened. If the expression below models the number of applicants for a credit card, what is the correct interpretation of the second factor? 27 (1.2) A There were 1.2 times as many customers who applied after the 4th month compared to the initial number of customers. B There were 4.8 times as many customers who applied after the 4th month compared to the initial number of customers. C There were 2.07 times as many customers who applied after the 4th month compared to the Initial number of customers. D There were 6.75 times as many customers who applied after the 4th month compared to the initial number of customers.

Laura and Martin obtain a 20-year, $90,000 conventional mortgage at 10.0% on a house selling for $110,000. Their monthly mortgage payment, including principal and nterest, is $869.40. Determine the total amount they will pay for their house. b) How much of the cost will be interest? c) How much of the first payment on the mortgage is applied to the principal?

The maximum heart rate, in beats per minute, that you should achieve during exercise is 220 minus your age, 220-a. Your exercise goal is to improve cardiovascular conditioning. Use the following formulas to answer parts (a) and (b). Lower limit of range Upper limit of range H=(220-a) (220-a) H= D a. What is the lower limit of the heart range, in beats per minute, for a 20-year-old with this exercise goal? beats per minute. The lower limit of the heart range is (Round to the nearest integer as needed.)

Colise has 2 vases of flowers that each hold 10 red and 5 yellow roses. Michelle has the same total number of roses but in 3 vases. Each vase has 6 red roses. How many yellow roses is in each of Michelle's vase?