Math Questions

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?

V = πr²h is an equation to calculate the volume of a cylinder, V, where r represents the radius of the cylinder and h represents its height. Which equation allows us to easily find the height of the cylinder because it is solid for h? A. r²h = V/π B. h = V-πr² C. h=V/πr^2 D. πh = V/r^2

The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at z = 5 and x=0, and a root of multiplicity 1 at x = -2 Find a possible formula for P(x).

The mean SAT verbal score is 419, with a standard deviation of 96. Use the Empirical Rule to determine what percent of the scores lie between 227 and 515. (Assume the data set has a bell-shaped distribution.) 81.5% 68% 34% 83.9%

Let U = {1,3,5,6,8,9,14,17,18). Determine the complement of the set (1,3,5,8,9,14,17,18). The complement is. (Use a comma to separate answers as needed. Use ascending order.)

When Cara drives to work, it takes her 30 minutes to drive 15 miles. On her days off, she likes to drive to her favorite donut shop. It takes Cara 6 minutes to drive to The Dreamy Donut Shop at the same rate. How many miles away is The Dreamy Donut Shop?

The formula P = 0.35x - 73 models the profit, P, in dollars, for a shoe shiner when he shines x pairs of shoes. Use the formula to find this shoe shiner's profit when he shines 600 pairs of shoes. A) -$69.50 B) $527 C) $137 D) $210

Solve the inequality. State the solution in interval notation. -2x + 20 < 2x + 4

3.25H +2.25C = 32 The above equation is true if Thea buys H pounds of ham slices and C pounds of cheese slices at her local deli. The local deli charges $3.25 per pound of ham and $2.25 per pound of cheese. According to the equation, how much does Thea spend in total on both han and cheese slices?

An average school bus holds 45 people. Sketch a graph showing the relationship between the number of students who need bus transportation and the number of buses required. Be sure to label the axes.

An art student uses a roll of wallpaper to decorate two gift boxes. The student will use 1 1/3 yards of paper for one box and yard of paper for the other box. The paper must be cut into pieces that are yard long. How many pieces will the student cut to use for the gift boxes?

Total revenue is in dollars and x is the number of units. Suppose that in a monopoly market, the demand function for a product is given by the following equation, where x is the number of units and p is the price in dollars. p = 400 - 0.2x (a) Find the total revenue from the sale of 500 units. (b) Find the marginal revenue at 500 units.

Frogs A wildlife biologist examines frogs for a genetic trait he suspects may be linked to sensitivity to industrial toxins in the environment. Previous research had established that this trait is usually found in 1 of every 8 frogs. He collects and examines a dozen frogs. If the frequency of the trait has not changed, what's the probability he finds the trait in a) none of the 12 frogs? b) at least 2 frogs? c) 3 or 4 frogs? d) no more than 4 frogs?