Math Questions

For the following distribution, decide whether you expect the mean, median, or mode to give the best representation of the center of the distribution, and explain why. Daily snowfall in Omaha in January. Choose the correct answer below. A. The mean because it takes into account all days, regardless of the amount of snow. B. The median because it is easier to calculate. C. The mode because it will find the most common snowfall amount(s). D. The mean because it is the most commonly understood measure of center. E. The median because it is unaffected by outliers, such as extreme storms. F. The mode because there can be more than one.

Give an example of the type of distribution. J-shaped Which of the following are examples of a J-shaped distribution? Select all that apply. A. The number of children per family. B. The results of rolling a die a very large number of times. C. The number of hours studied per week by students. D. None of these would follow a J-shaped distribution.

A weight-loss clinic guarantees that its new customers will lose at least 5 lb by the end of their first month of participation or their money will be refunded. If the loss of weight of customers at the end of their first month is normally distributed, with a mean of 5.6 lb and a standard deviation of 0.81 lb, find the percent of customers who will be able to claim a refund.

A small warehouse employs a supervisor at $1200 a week, an inventory manager at $700 a week, six stock boys at $400 a week, and four drivers at $500 a week. a) Find the mean and median wage. b) How many employees earn more than the mean wage? c) Which measure of center best describes a typical wage at this company: the mean or the median? d) Which measure of spread would best describe the payroll: the range, the IQR, or the standard deviation? Why?

The fifth grade class surveyed 144 people. They found that of the people have umbrellas. Of the people who have umbrellas, have black umbrellas. How many people in the survey group have black umbrellas?

Compute the total and annual returns on the following investment. Fifteen years after purchasing shares in a mutual fund for $5900, the shares are sold for $11,200. The the total return is

For the statement below, write the claim as a mathematical statement. State the null and alternative hypotheses and identify which represents the claim. A laptop manufacturer claims that the mean life of the battery for a certain model of laptop is more than 6 hours. Identify which is the claim. A. The alternative hypothesis Ha: μ< 6 is the claim B. The alternative hypothesis Ha: > 6 is the claim. C. The null hypothesis Ho: μ = 6 is the claim D. The null hypothesis Ho: u≥6 is the claim E. The null hypothesis Ho: u≤6 is the claim.

Assume that the weights of ripe watermelons grown at a particular farm are normally distributed with a mean of 90 pounds and a standard deviation of 1.9 pounds. Determine the percent of watermelons that weigh between 88.15 pounds and 92.45 pounds.

Solve and check the linear equation. 3(x-4)+15=2(x+5) What is the solution? 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 Ø.

A pharmaceutical company wants to test the effectiveness of a new allergy drug. The company identifies 250 females 30-35 years old who suffer from severe allergies. The subjects are randomly assigned into two groups. One group is given the new allergy drug and the other is given a placebo that looks exactly like the new allergy drug. After six months, the subjects' symptoms are studied and compared. Answer parts (a) through (c) below. (a) Identify the experimental units and treatments used in this experiment. Choose the correct answer below. A. The experimental unit is the new allergy drug. The treatments are the severe allergies the patients suffer from. B. The experimental units are the 30- to 35-year-old females being given the treatment. The treatment is the new allergy drug. C. The experimental units are the 30- to 35-year-old females being given the treatment. The treatment is six months. D. The experimental units are the symptoms from the drug. The treatment is the new allergy drug.

Find the midpoint of the segment between the points (17, 1) and (-2,8) A. (15/2,9/2) B. (19/2,-7/2) C. (-15,-9) D. (15,9)

Compute the total and annual return on the following investment. Three years after paying $2600 for shares in a startup company, you sell the shares for $2500 (at a loss). The total return is%.

Use the properties of inequalities to solve the inequality. Write the solution set using set-builder notation. −3(x + 2) ≤ 5x+9 {x|] Graph the solution set.

Graph the solution to the following linear inequality in the coordinate plane. 5x -y > -3

Consider the following fractions. 31/60 , 29/36 Step 2 of 2: How much larger is the larger fraction? Express your answer in simplest form.

Select the correct answer. Mr. Waller owns a company that manufactures decorative statues. The revenue earned, in thousands of dollars, by the company each year over an eight-year period is modeled by this quadratic function. r(t) = -3.22t² + 40.63t +11.17

Write the equation of the line that is perpendicular to the line 5y = x-5 through the point (-1,0). Ay=-5x-5 B.y=1/5x+5 C .y=1/5x-5 D.y = -5x + 5

A parabola has a vertex at (2,5) and opens down, is reflected across the line y = x. What is the image of the vertex after the reflection? A. (5,2) B. (-2,-5) C. (2,-5) D. (-5,2)

The count in a bateria culture was 700 after 20 minutes and 1600 after 35 minutes. Assuming the count grows exponentially, What was the initial size of the culture? Find the doubling period. Find the population after 115 minutes. When will the population reach 14000.

Solve the given system of equations. 5x + 4y - 5z = -21 2x - 5y + 2z = 26 4x - 2y + 4z = 20 Select the correct choice below and fill in any answer boxes within your choice. A. There is one solution. The solution set is (Simplify your answers.) B. There are infinitely many solutions. C. There is no solution.

True or false If false, explain briefly. a) We choose the linear model that passes through the most data points on the scatterplot. b) The residuals are the observed y-values minus the y-values predicted by the linear model. c) Least squares means that the square of the largest residual is as small as it could possibly be.

If y= alx-h| + k has the value of a = 1, the graph will be (assume h and k are greater than zero). closer to the y-axis translating the parent function hunits to the right and Kunits up further from the Y-axis reflecting across the X-axis

The equation for line p can be written as y = =-4/7x + 7. Perpendicular to line p is line q, which passes through the point (8, 7). What is the equation of line q? Write the equation in slope-intercept form. Write the numbers in the equation as proper fractions, improper fractions, or integers.

Use a calculator with a yX key or a A key to solve the following. The exponential function f(x)=544(1.026)X models the population of a country, f(x), in millions, x years after 1975. Complete parts (a) – (e). a. Substitute 0 for x and, without using a calculator, find the country's population in 1975. The country's population in 1975 was 544 million. b. Substitute 27 for x and use your calculator to find the country's population, to the nearest million, in the year 2002 as modeled by this function. The country's population in 2002 was 1088 million. c. Find the country's population, to the nearest million, in the year 2029 as predicted by this function. The country's population in 2029 will be 2175 million. d. Find the country's population, to the nearest million, in the year 2056 as predicted by this function. The country's population in 2056 will be million.

The equation of line r is y =-2X/3- 3. Line s, which is parallel to line r, includes the point (8,-8). What is the equation of line s? Write the equation in slope-intercept form. Write the numbers in the equation as proper fractions, improper fractions, or integers.

Find the value of the expression below and write your answer in mixed number form. Reduce if possible. 2/5 of 3 3/4

Solve the equation using the quadratic formula. x²-2x+17=0 The solution set is. (Simplify your answer. Type an exact answer, using radicals and i as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)

A car was valued at $43,000 in the year 1991. The value depreciated to $15,000 by the year 2002. A) What was the annual rate of change between 1991 and 2002? r = Round the rate of decrease to 4 decimal places. B) What is the correct answer to part A written in percentage form? r= %. C) Assume that the car value continues to drop by the same percentage. What will the value be in the year 2007 ? value = $ Round to the nearest 50 dollars.

The points (3, 10) and (1, 9) fall on a particular line. What is its equation in point-slope form? Use one of the specified points in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.

The area of a square depends on the length of its sides. This can be written in function notation as a(s). What is the best interpretation of a(2) = 4? A. The area of a square is always two times the side length. B. A square with sides 2 units long has an area of 4 square units. C. A square with sides 4 units long has an area of 2 square units. D. The area of a square is always one-half of the side length.

The formula A=21.2e0.0411t models the population of a US state, A, in millions, t years after 2000. a. What was the population of the state in 2000? b. When will the population of the state reach 29.8 million? a. In 2000, the population of the state was million. b. The population of the state will reach 29.8 million in the year (Round down to the nearest year.)

A car was valued at $35,000 in the year 1991. The value depreciated to $13,000 by the year 2006. A) What was the annual rate of change between 1991 and 2006? r= Round the rate of decrease to 4 decimal places. B) What is the correct answer to part A written in percentage form? r= %. C) Assume that the car value continues to drop by the same percentage. What will the value be in the year 2011? value = $ Round to the nearest 50 dollars.

The equation of line r is y = -x+4/9 Parallel to line r is line s, which passes through the point (1, 7). What is the equation of line s? Write the equation in slope-intercept form. Write the numbers in the equation as proper fractions, improper fractions, or integers.

Find the value of the following in the first quadrant: sin-¹ (sin 25°) [?]°

A tennis club offers two payment options. Members can pay a monthly fee of $12 plus $7 per hour for court rental time. The second option has no monthly fee, but court time costs $8.50 per hour. Answer parts a through d. a. Write a linear function that models the total monthly costs for each option for x hours of court rental time. The linear function that models total monthly cost for the first payment option is f(x) = (Type an expression using x as the variable. Use integers or decimals for any numbers in the expression.)

Company XYZ closed at $47.87 per share with a P/E ratio of 14.14. Answer the following questions. a. How much were earnings per share? b. Does the stock seem overpriced, underpriced, or about right given that the historical P/E ratio is 12-14? a. How much were earnings per share?

The diameter of a bicycle wheel is 29 in. How many revolutions does the wheel make when the bicycle travels 200 ft? Round your answer to the nearest whole number. Use 3.14 for л. revolutions

The mass of a gas is determined as in the experiment described in Experiment 8. The mass is de- termined to be 2.01 g. The volume of the water, which is equal to the volume of the gas, is meas- ured to be 243 mL, the boiling water temperature was 99.8°C and the barometric pressure was 755 mm Hg. Calculate the molar mass of the gas.

A circle has a diameter of 20 cm. What is the area of a sector bounded by a 208° arc? Use the key on your calculator to approximate . Round your answer to the nearest tenth.

Determine whether the underlined number describes a population parameter or a sample statistic. Explain your reasoning. A survey of 2213 adults in a country found that 85% think that militant terrorists are a major threat to the well-being of their country. Choose the correct statement below. A. The number is a population parameter because it is a numerical description of all of the people in the country. B. The number is a sample statistic because it is a numerical description of all of the people in the country. C. The number is a population parameter because it describes the people in a sample, which is a subset of all of the people in the country. D. The number is a sample statistic because it describes the people in a sample, which is a subset of all of the people in the country.

At age 19, someone sets up an IRA (individual retirement account) with an APR of 6%. At the end of each month he deposits $100 in the account. How much will the IRA contain when he retires at age 65? Compare that amount to the total deposits made over the time period. After retirement the IRA will contain $

Solve 6 cos(2x)= 3 for the smallest positive solution. Give your answer accurate to at least two decimal places.

The sum of three numbers is 16. The sum of twice the first number, 3 times the second number, and 4 times the third number is 55. The difference between 5 times the first number and the second number is -2. Find the three numbers. first number: second number: third number:

A local chess club claims that the length of time to play a game has a mean of 27 minutes or more. Write sentences describing type I and type II errors for a hypothesis test of this claim. A type I error will occur if the actual mean of the length of time to play a game is 27 minutes, but you the null hypothesis, A type II error will occur if the actual mean of the length of time to play a game is 27 minutes, but you the null hypothesis,

A line with a slope of 4 passes through the point (-5, -3). What is its equation in point-slope form? Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.

An entrepreneur estimates his total profit (total revenue minus total cost) for his proposed company as p(x)=x³-4x² + 5x-20, where p is in hundreds of dollars and x is number of years the company has been in business. In which year (x) will the entrepreneur break even? A. year 1 B. year 2 C. year 3 D. year 4

You want to purchase a new car in 4 years and expect the car to cost $84,000. Your bank offers a plan with a guaranteed APR of 6.5% if you make regular monthly deposits. How much should you deposit each month to end up with $84,000 in 4 years?

Choose the correct description of the population. A. The party of registered voters in the county B. The number of registered voters in the county who responded to a survey C. The number of registered voters in the county D. The party of registered voters in the county who responded to a survey

A sample of students is selected and it is found that 50% own a television. Choose the correct statement below. Parameter because the value is a numerical measurement describing a characteristic of a population. Statistic because the value is a numerical measurement describing a characteristic of a population. Statistic because the value is a numerical measurement describing a characteristic of a sample. Parameter because the value is a numerical measurement describing a characteristic of a sample.

The 1985 explosion at a nuclear lab sent about 1000 kilograms of a radioactive element into the atmosphere. The function f(x)=1000(0.5) describes the amount, f(x), in kilograms, of a radioactive element remaining in the area x years after 1985. If even 100 kilograms of the radioactive element remains in the atmosphere, the area is considered unsafe for human habitation. Find f(40) a determine if the area will be safe for human habitation by 2025.