Math Questions

In a computer catalog, a computer monitor is listed as being 19 inches. This distance is the diagonal distance across the screen. If the screen measures 10 inches in height, what is the actual width of the screen to the nearest inch? 17 inches 16 inches 15 inches 14 inches

"Twice the amount of time Jenn ran was 15 minutes more than the amount of time Katie ran." Where J = amount of time Jenn ran (hours) K = amount of time Kati ran (hours) 2J+15= K 2J = K + 15 2J + (1/4)= K 2J = K+ (1/4) 2J+K= 15

Manny owns a home with a front and back lawn. The front lawn is the size of the back lawn. If she mows ½ of her front lawn and 3 of her back lawn, what fraction of her entire lawn was left unmowed?

An author published a book which was being sold online. The first month the author sold 3500 books, but the sales were declining steadily at 12% each month. If this trend continues, how many total books would the author have sold over the first 24 months, to the nearest whole number?

The art club is raising money to go to an art museum. So far they have raised $50 by selling chalk drawings for $5 each. If they need to raise a total of $400, how many more drawings do they need to sell? a. 10 b. 70 C. 80 d. 90

Vicky and Bob went to a store to buy school supplies. Vicky spent a total of $22 on school supplies. She spent $13 on a book and spent the rest of the money on notebooks. The store sells notebooks for $1.50 each. Write an equation that can be used to find the number of notebooks Vicky bought. Use the variable v for the number of notebooks. Solve the equation and show your work.

A ship leaves the Boston Harbor and travels at a bearing of 52° for 200 miles and then changes course and travels for an additional 80 miles at a bearing of 142° to an island location. a). How far is the ship from the Harbor? b) If the ship is able to return home on a direct route from the island to the Harbor, at what bearing should the ship travel?

Select all the studies in which the results may have been skewed by blas. a study with a significantly larger than expected standard deviation about the sample mean a study on the heights of a group of fourth graders, where 90% of the data fell below the population mean a study on employees' commute time, with 90% of the data falling within 1 standard deviation of the population mean a study of the popularity of a particular music genre, with a small standard deviation about the mean a study of the average annual rainfall, with 28% of the data having a z-score greater than 1 a study on the average life span of a type of plant, where 50% of the data fell above the population mean

In a lab experiment, the decay of a radioactive isotope is being observed. On the first day of the experiment the mass of the substance was 1200 grams and mass was decreasing by 11% per day. Write a recursive formula to represent the mass of the radioactive sample on the nth day of the experiment.

The officers of a neighborhood association want to know whether residents are interested in beautifying the neighborhood and, if so, how much money they are willing to contribute toward the costs involved. The officers are considering two methods for gathering data: Method A: Call and survey every tenth resident on the association's roster. Method B: Randomly select and survey 10 residents from among those who come to the neighborhood block party. Which sampling method is most likely to result in a representative sample of the population; Method A or Method B?

A political strategist believes that 58% of voters in a certain state support his candidate. He then commisions a poll of 800 voters and 53% of them support his candidate. Is there evidence at the .05 level of significance to refute the strategist's belief? No, because the test value -3.15 is in the noncritical region. No, because the test value -1.69 is in the noncritical region. Yes, because the test value -2.87 is in the critical region. Yes, because the test value -3.15 is in the critical region.

Members of a student council are designing a school float for a parade. They decide to poll 10% of the student body to get feedback about the theme they have chosen. What would most likely happen if they decided to randomly sample 5% of the student body instead? The sample proportion would more closely model the population proportion. The sample proportion would not be affected. The sample proportion would less closely model the population proportion. There is not enough information to determine how the sample proportion would be affected.

Monica wants to invest $1200 in a savings account. Determine the interest rate (simple interest) required for Monica 's investment to double in value in 20 years. Round your answer to the nearest tenth of a percent.

Thirty percent of consumers prefer to purchase electronics online. You randomly select 8 consumers. Find the probability that the number of consumers who prefer to purchase electronics online is (a) exactly five, (b) more than five, and (c) at most five. (a) Find the probability that the number that prefer to purchase electronics online is exactly five. P(5) =

How many times would a coin have to show heads in 50 tosses to have an experimental probability of 20% more than the theoretical probability of getting heads? A. 10 B. 25 C 35 D 45

Determine if the statement is true or false. If the statement is false, rewrite it as a true statement. The expected value of a random variable can never be negative. Choose the correct answer below. A. The statement is false. The expected value of a random variable can be negative. B. The statement is true. C. The statement is false. The expected value of a random variable is always 1. D. The statement is false. The expected value of a random variable is always 0.

A balloon, which always remains spherical, has a variable radius. If the radius is increasing at the rate of 3 units/sec then find the rate at which its volume is increasing with respect to time when its radius is 12 units Note that the volume of the sphere is given by V=4/3 π r^3 A) 48π units^3 / sec C) 576 π units^3 / sec D) 1728π units^3 / sec B) 144π units^3 / sec

A stone dropped in a pond sends out a circular ripple whose radius increases at a constant rate of 4 ft/sec. After 12 seconds, how rapidly is the area inclosed by the ripple increasing? Recall the area of a circle is given by A= πr².

Two rooms in a house are similar rectangles. Room A is 12 ft by 16 ft. The longer side of Room B is 4 ft shorter than twice the length of the shorter side of Room A. What are the dimensions of Room B? A 15 x 20 B. 16 × 20 C. 16 x 16 D. 14 x 16

Using the completing-the-square method, rewrite f(x) = x² + 10x + 7 in vertex form. f(x) = (x + 5)² - 18 f(x) = (x + 10)² +25 f(x) = (x + 5)² +7 f(x)=(x + 5)²

Which sequence of transformations will yield the graph of g(x) = 2^x +8 + 1 Horizontal shift 1 units to the left; Vertical shift 8 units up Horizontal shift 8 units to the right; Vertical shift 1 units up Horizontal shift 1 units to the right; Vertical shift 8 units down Horizontal shift 8 units to the right; Vertical shift 1 units down Horizontal shift 8 units to the left; Vertical shift 1 units up

A map has a scale of 1 in.: 25 mi. Two cities are 175 mi apart. How far apart are they on the map? A. 3 in. B. 5 in. C. 6 in. D. 7 in.

Find the final amount of money in an account if $2, 300 is deposited at 3% interest compounded weekly and the money is left for 9 years. The final amount is $

A restaurant offers a choice of 5 salads, 7 main courses, and 3 desserts. How many possible 3-course meals are there? A. 210 B. 105 C. 15 D. 35

Let's suppose the days in the hospital of admitted Covid-19 patients are uniformly distributed between 3 to 18 days. Find the days in the hospital of the middle 50%. Round answer(s) to two decimal places.

The sum of the angles of a triangle is 180°. Find the three angles of the triangle if one angle is twice the smallest angle and the third angle is 24° greater than the smallest angle. A. 31°,620,87° B. 27°,54°,99° C. 390,780,63° D. 27°,51°, 102°

A washer and a dryer cost $750 combined. The cost of the washer is two times the cost of the dryer. What is the cost of the dryer?

You have 992 grams of a radioactive kind of mercury. If its half-life is 47 days, how much will be left after 94 days?

Suppose the disbursements of coffee from a off brand Keurig are normally distributed with a mean of 11.8 ounces and a standard deviation of .25 ounces. a.) Find the z-score of a cup of coffee that is 11.1 ounces. b.) Find the probability that the disbursement is less than 11.1 ounces?

Assume that the salaries of elementary school teachers in the United States are normally distributed with a mean of $28,000 and a standard deviation of $3000. What is the cutoff salary for teachers in the bottom 10%? $32,935 $24,155 $31,840 $23,065

The graph of a normal distribution is shaped like an exponential function a straight line a parabola the letter N a bell a pyramid

A parachutist drops a penny from 1000 feet above the ground. What is the probability of the penny landing a 10 cm x 10 cm square inside a 1000 cm x 1000 cm square?

27% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and ask each to name the reason he or she uses credit cards. Find the probability that the number of college students who say they use credit cards because of the rewards program is (a) exactly two, (b) more than two, and (c) between two and five inclusive. If convenient, use technology to find the probabilities. (a) P(2)= (Round to the nearest thousandth as needed.) (b) P(x > 2) = (Round to the nearest thousandth as needed.)

Which equation represents a quadratic function with a leading coefficient of 2 and a constant term of -3?

An orange is shot up into the air with a catapult. The function h given by h(t) = 15+ 60t - 16t² models the orange's height, in feet, t seconds after it was launched. Select all the true statements about the situation. a. The domain of function h only contains values greater than or equal to 0. b. The orange is at the same height 1 second after launch and 2 seconds after launch. c. After 3 seconds, the orange has hit the ground. d. The orange is 15 feet above the ground when it is launched. e. The value t =10 does not belong to the domain of h.

Fill in the blanks with the correct vocabulary term from this unit. The ___. refers to the amount you can fit inside of a shape. For example, how much paint to cover a wall, or how much grass seed to plant to cover a backyard The___refers to the distance to go all the way around a shape. For example, how much fence you need around your front yard, or how many holiday lights you need to hang up around a window.

Eight people in the class are left-handed. If there are 32 students in the class, what is the probability of randomly choosing one who is right-handed?

Over the weekend, your family is going on vacation. Your mom is letting you bring 5 DVDs for the long road trip. How many ways can you choose the five DVDs if you have 12 DVDs in all? (order does not matter) 1012 60 512 792

Suppose I'm thinking of two different positive numbers. Choose the correct translation of the following into symbolic algebra: "The product of the two numbers is equal to eleven more than the larger number." where x = the smaller number y = the larger number xy = y +11 xy=x+11 x/y + 11 = y xy + 11 = y x-y = 11 x+y=11

The average gas mileage of a certain model car is 27 miles per gallon. If the gas mileages are normally distributed with a standard deviation of 1.5, find the probability that a car has a gas mileage of between 26.8 and 27.3 miles per gallon. 0.13 0.24 0.18 0.22

A warehouse employs 27 workers on first shift, 16 workers on second shift, and 14 workers on third shift. Eight workers are chosen at random to be interviewed about the work environment. Find the probability of choosing exactly two second shift workers and two third shift workers.

The world population in 2000 was approximately 6.08 billion. The yearly rate of increase was about 1.0126. a. Find the a and the b for this problem. a = b = b. Write the equation that models this situation. c. Find the world population in 2019. y = Population: d. Your friend wants to use x = 2030 to find the world population in 2030. Do you agree or disagree with her and explain why.

Select the correct answer from each drop-down menu. A couple took out a 5-year $30,000 loan to pay for for their wedding. After 5 years, the loan payments they had made to the bank amounted to $38,250. The interest rate on the loan, compounded continuously, is %. If they had taken an 8-year loan instead of a 5-year loan, they would have paid approximately $ more.

Solve the problem involving probabilities with independent events. A card is drawn from a 52-card deck and a fair coin is flipped. What is the probability of getting jack and heads? 1/26 1/13 3/52 1/4

A car parts company wishes to find the defect rate of a certain part. Of 346 items tested, 12 are found to be defective. Use this data to construct the 98% confidence interval for the proportion of all such items that are defective. 0.0345 < p < 0.0349 0.0110 < p < 0.0584 0.0118 < p < 0.0576 0154 < p < 0.0540

A local office supply store charges $20 to set up business cards and $0.25 in materials per business card to print. Write an equation that could represent an expression for the average cost A(x) of printing a batch of x business cards. (Look at lesson 2-18 p 202 and lesson 2-20 pg 216. Remember that we can break up the function into two fractions.) What is the price per card when you order 100 business cards? What is the price per card when you order 1000 cards? What is the price approaching as you make more and more cards?

A sporting goods store specializes in mountain bikes. Each week, two dozen mountain bikes are randomly selected from the store's warehouse to undergo a performance test. What is the population for the performance test? A.The population is all of the mountain bikes in the store's warehouse. B.The population is all of the merchandise sold by the store. C. The population is the mountain bikes that are not randomly selected. D. The population is the salespersons at the store.

Determine the x-intercepts of the following equation. (-x+5)(x+2) = y

Select the best choice for the definition of roots, zeroes or solutions for the graph of a quadratic function. * A. A vertical line that passes through the vertex of the graph of a quadratic function. B. A term that describes the x-intercept(s) of the graph of a quadratic function. C. The graph of a quadratic function that is a U-shaped curve. D. Is defined by an ordered pair and is considered the minimum point or the maximum point.

A committee has nine members. There are three members that currently serve as the board's chairman, ranking member, and treasurer. Each member is equally likely to serve in any of the positions. Three members are randomly selected and assigned to be the new chairman, ranking member, and treasurer. What is the probability of randomly selecting the three members who currently hold the positions of chairman, ranking member, and treasurer and reassigning them to their current positions? The probability is