Basic Math Questions and Answers

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.)

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?

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%

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 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.

Adrienne and her brother John each inherit ($7,000 that they use to open savings accounts with. Adrienne's account earns 4.7% annual compound interest and John's account earns 4.7% annual simple interest. Neither makes any additional deposits or withdrawals for 10 years. a. Who's account will be worth more at the end of 10 years? b. How much more will the account be worth?

Provide an appropriate response. The scores of the top ten finishers in a recent golf tournament are listed below. Find the mean score. 71 67 67 72 76 72 73 68 72 72 68 71 72 67

Margaret is saving money at a constant rate. Suppose she initially has $80 saved, and after 4 months, she has $180 saved. Which of these expresses the rate at which Margaret is saving? Select the correct answer below: 25 dollars per month 25 months per dollar 100 dollars per month -25 dollars per month 80 months per dollar

In regular polygons, if the number of sides, n, is odd, the lines of symmetry will pass through a ____ and the ____ of the opposite side. If n is even, then the lines of symmetry will pass through two ____ vertices or the of two opposite sides.

A total of 246 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?

If money can be invested at 3.7% compounded quarterly, which is larger, $659 now or $1000 in 10 years? Use present value to decide. The present value of $1000 in 10 years is $ (Do not round until the final answer. Then round to the nearest cent as needed.) Which value is larger? A. $659 now B. $1000 in 10 years

Haloween is a Holiday that many people observe on the last day of October every year Children and adult's dress in costumes and go door to-door asking for candy. Some people hoste partys and serve Halloween treats such as caramel apples, pop corn, and cidar. Others celebrate by telling scary stories or watching spookey movies.

How long will it take money to double if it is invested at the following rates? (A) 7.3% compounded daily (B) 14.6% compounded daily (A) years (Round to two decimal places as needed.) (B) years (Round to two decimal places as needed.)

Write two decimals that are equivalent to the given decimal. 3.400 Select all that apply. A. 3.04 B. 3.40 C. 3.4 D. 3.040 E. 3.004

Drag and drop the reasons into the boxes to correctly complete the table. -6x + 7x + 14 = x + 14 = 3 x = −11

The ratio of a basketball player's completed free throws to attempted free throws is 3 to 8. If she completed 15 free throws, find how many free throws she attempted. Round to the nearest whole number if necessary. A) 5 free throws B) 40 free throws C) 3 free throws D) 6 free throws

Is y = -18x + 58 increasing or decreasing? increasing decreasing

Logan buys white, black, and gray tiles for his bathroom floor. The number of black tiles he buys is 10 more than twice the number of white tiles. He buys 100 gray tiles. If he buys 260 tiles in total, how many of each color did he buy?

If f(x) is a linear function, f(-4)= -2, and f(5) = 2, find an equation for f(x). f(x) =

The function h is defined as h (x)=3x² - 2x. Find h (x-5). Write your answer without parentheses, and simplify it as much as possible. h(x - 5) =

Consider the graph of the function f(x) = x^2+ 3x - 18 / x^2 - 4x - 21 What are the vertical asymptotes?

Brooklyn needs to order some new supplies for the restaurant where she works. The restaurant needs at least 498 glasses. There are currently 230 glasses. If each set on sale contains 10 glasses, write and solve an inequality which can be used to determine x, the number of sets of glasses Brooklyn could buy for the restaurant to have enough glasses.

A nut wholesaler sells a mix of peanuts and cashews. He charges $2.80 per pound for peanuts and $5.30 per pound for cashews. If the mix is to sell for $4.30 per pound, how many pounds each of peanuts and cashews should be used to make 100 pounds of the mix?

Human skin becomes dry during winter, making it more prone to infections than during summer. How do the sebaceous glands protect the skin normally? A. Sebaceous glands produce a substance that moisturizes and protects the skin. B. Sebaceous glands cause the hair to stand erect, which insulates and protects the skin. C. Sebaceous glands produce keratin, which gives the skin a tough structure and protection. D. Sebaceous glands contain collagen fibers, which provide strength and protection.

Some water sports are expensive. People with larger incomes are more likely to participate in such a sport. The number of people N (measured in thousands) who engage in a particular water sport can be described by the function N=0.13x² -3.16x + 102.25, where x is the mean income (measured in thousands) and x ≥ 20. Use this information to find N when x = 25, x = 50, x= 75, x = 100, and x = 125. Find N when x = 25, x = 50, x=75, x= 100, and x = 125. When x = 25, N= 104.5 thousand people. When x = 50, N= 269.25 thousand people. When x = 75, N= 596.5 thousand people. When x= 100, N= 1086.25 thousand people. When x = 125, N= thousand people.

A local phone repair company charges $49 for a phone repair. Their operating expenses are, on average $54 per day. The manager calculates the profit of the company by subtracting the operating costs from the money he earns from the phone repairs he gives. In a given day, the manager expects to make a profit of at least 893. If the manager gives r phone repairs in a day, which inequality best models this situation?

A promissory note will pay $47,000 at maturity 6 years from now. If you pay $28,000 for the note now, what rate compounded continuously would you earn?

Graph the following quadratic function. f(x) = -x² + 2x - 7 Find the vertex of the function. The vertex is (Simplify your answer. Type an ordered pair.)

3. Which of the following statements about operations with fractions is not correct? Change a mixed number to a fraction first. To divide, flip the second fraction and then multiply. Add and subtract across fractions with different denominators. Multiply across fractions with different denominators.

Use the disk method or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about each given line. y = x³ y = 0 x = 3 (a) the x-axis (b) the y-axis (c) the line x =