Math Questions

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

A basketball player routinely hits 100% of their free throws. What is the probability this player at practice only makes 2 out of 11 free throws? Express your answer as a percent rounded to the nearest tenth. 0.0% 0.5% 1.4% 2.9%

A soda machine dispenses abnormally distributed amounts of soda with a mean of 20 ounces and a standard deviation of 0.2 ounces. What is the probability of selecting a sample of eight bottles with a mean amount dispensed between 19.8 and 20.2 ounces? Population Mean: μ = Population Standard Deviation: σ = Normally Distributed (yes or no): Sample Sizes: n = What does this mean? Can the problem be completed? (Yes or No):

You pick a card from a standard deck of 52 cards. If you get a face card, you win $5. If you get an Ace, you win $30 plus an extra $60 if you get the Ace of Hearts. For every other card (besides the face cards and aces), you lose $1. Find the expected value. * $3.92 $0.98 $4.50 $5.31 $3.35

37% of U.S. adults say they are more likely to make purchases during a sales tax holiday. You randomly select 10 adults. Find the probability that the number of adults who say they are more likely to make purchases during a sales tax holiday is (a) exactly two, (b) more than two, and (c) between two and five, inclusive. (a) P(2)= 0.153 (Round to the nearest thousandth as needed.) (b) P(x > 2) = 0.779 (Round to the nearest thousandth as needed.) (c) P(2 ≤x≤5)=(Round to the nearest thousandth as needed.)

A company is interested in learning if employees are satisfied with their jobs. To find out, the company hires an independent market research company to conduct a survey. Every survey filled out by an employee is anonymous. Which of the following statements is correct? A. This method of sampling is unbiased. B. This method of sampling can be considered both biased and unbiased. C. This method of sampling is blased. D. This method of sampling is neither biased nor unbiased.

Show complete work on your worksheet! You many use the !, nCr and nPr functions on your calculator to CHECK your calculations, but you must show the formulas with appropriate values substituted in first. There are 15 members on a city council. On a recent agenda item, 8 of the council members voted in favor of a budget increase. How many possible groups of council members could have voted in favor? Permutation Combination n= T= There can be groups.

A square pyramid measuring 6 km along each edge of the base with a height of 9 km. 123 km³ 108 km³ 324 km³ 106 km³

The denarius was a unit of currency in ancient Rome. Suppose it costs the Roman government 10 denarius per day to support 3 legionaries and 3 archers. It only costs 3 denarius per day to support one legionary and one archer. Use a system of linear equations in two variables. Can we solve for a unique cost for each soldier? Choose 1 answer: Yes; a legionary costs 1 denarius per day to support, and an archer costs 2 denarius per day to support. Yes; a legionary costs 2 denarius per day to support, and an archer costs 4/3 denarius per day to support. No; the system has many solutions. No: the system has no solution.

A coin of questionable fairness is tossed 10 times per set of trials for two sets of trials. The outcomes are THTHTHTHHT and TTTHTTHTTH (T= Tails; H = Heads). Which model can you most likely rule out on the basis of this simulation? A. The probability of heads is 40%. B. The probability of heads is 30%. C.The probability of heads is 35%. D. The probability of heads is 70%.

Ricardo and Kim rowed their canoes from their base camp to a fishing camp. They rowed a distance of x miles upstream on one river, (3x² - 9) miles downstream on another river, and (2x + 9) miles across a calm lake. Which expression is equivalent to the total distance, in miles, Ricardo and Kim rowed their canoes? 5x² 6x² 3x²+2x 3x² + 3x

Pepperoni, green olives, black olives, tomatoes, green peppers, bacon, and hamburger are topping selections for a pizza. How many 2-topping possibilities are there, in which the toppings are not used more than once? 21 49 36 64

A cereal company packs its oatmeal into cylindrical containers. The height of each container is 10 inches, and the radius of the bottom is 5 inches. What is the volume of the container to the nearest cubic inch?

A recent survey found that 69% of all adults over 50 wear glasses for driving. In a random sample of 70 adults over 50, what is the mean and standard deviation of those that wear glasses? mean: 48.3; standard deviation: 6.95 mean: 48.3; standard deviation: 3.87 mean: 21.7; standard deviation: 3.87 mean: 21.7; standard deviation: 6.95

The Academy of Orthopedic Surgeons states that 80% of women wear shoes that are too small for their feet. A researcher wants to be 98% confident that this proportion is within 3% of the true proportion. How large a sample is necessary? 484 966 683 1183

Which of the following best describes the process for finding the interquartile range for a set of data? * Find the difference between the Maximum and Minimum values in the data set. ADD Q1 and Q3 and divide by 2. ADD the biggest and smallest values in the data set. Place the numbers in order from least to greatest and find the middle. SUBTRACT Q1 from Q3.

Find the equation of the line and write in the specified form: a. the line parallel to d = (2, 3) that hits the point (1,4), in parametric form. b. the line that passes through the points (2, 4) and (5, 13), in vector form.

Jacksonville, Florida is due south of Charleston, West Virginia. Find the distance between Jacksonville (30°20') and Charleston (38°21'). Assume that the radius of the Earth is 3960 miles. Round your answer to the nearest whole mile. The distance is miles.

Choose the answer that describes the set of ordered pairs below. Be prepared to justify your answer. {(Ford, blue), (Nissan, red), (Toyota, silver), (Subaru, black), (Chevy, blue), (Volvo, red)} A function with domain of (Ford, Nissan, Toyota, Subaru, Chevy, Volvo} A relation with domain of {Ford, Nissan, Toyota, Subaru, Chevy, Volvo} A function with domain of (blue, red, silver, black} A relation with domain of {blue, red, silver, black}

There are seven white dogs, five black dogs, six white cats, and three black cats. What is the probability of randomly selecting a white animal or a dog?

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 8 small boxes has a total weight of 162 kilograms. A delivery of 5 large boxes and 2 small boxes has a total weight of 117 kilograms. How much does each type of box weigh? Weight of each large box: kilogram(s) Weight of each small box: kilogram(s)