Math Questions

In a poll, 1,005 adults in a country were asked whether they favor or oppose the use of "federal tax dollars to fund medical research using stem cells obtained from human embryos." Among the respondents, 47% said that they were in favor. Identify the population and the sample. What is the population in the given problem? Choose the correct answer below. A. All adults in the country B. 47% of the 1,005 adults selected C. 47% of all adults in the country D. The 1,005 adults selected Identify the sample for the given problem. Choose the correct answer below. A. 47% of the 1,005 adults selected B. The 1,005 adults selected C. 47% of all adults in the country. D. All adults in the country

The system below has the solution (z + 11, z − 8, z) . If z = 12, find z and y. x-3=y+16 z-4=x- 15 y+20=z+12

The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 283 people entered the park, and the admission fees collected totaled 862.00 dollars. How many children and how many adults were admitted?

Solve the following system of equations. Record your answer as an ordered triple. Don't forget to include the parentheses in your answer. { 4y-2z=18 {5x-4y+2z= -23 {-x+y+5z=11 (x,y,z)=

Mr. Cutler makes clay bricks and clay tiles to sell at maker fairs. It takes him 10 minutes to make a brick and 20 minutes to make a tile. Each brick uses 3 pounds of clay and each tile uses 2 pounds of clay. He has 160 minutes available for making the bricks and tiles and has 20 pounds of clay on hand. If he makes a profit of $2 on each brick and $3 on each tile, how many bricks and tiles should he make to maximize his profit? A.Mr. Cutler should make 7 bricks and 0 tiles to maximize his profit. B.Mr. Cutler should make 0 bricks and 8 tiles to maximize his profit. C.Mr. Cutler should make 7 bricks and 2 tiles to maximize his profit. D.Mr. Cutler should make 2 bricks and 7 tiles to maximize his profit.

Let x represent one number and let y represent the other number. Four times a first number decreased by a second number is 2. The first number increased by twice the second number is -13. Use the given conditions to write a system of equations. Solve the system and find the numbers. Write a system of equations. A . 4x-y=2,x+y=-12 B. x-3y=3, x-y=-13 C. 3x+y=-12, x+y=3 D. 4x-y=2, x+2y = - 13 Solve the system and find the numbers. x= __ and y=___. The numbers are x =

The midpoint of a segment is (-6, -5) and one endpoint is (1, 3). Find the coordinates of the other endpoint. A. (8, 11) B. (-13, -13) C. (8,-13) D. (-13, 11)

If the length of one leg of a right triangle is 8 and the hypotenuse is √113, what is the length of the other leg? A. 19 B. 9 C.7 D. √177

Suppose someone wants to accumulate $40,000 for a college fund over the next 15 years. Determine whether the following investment plans will allow the person to reach the goal. Assume the compounding and payment periods are the same. The person deposits $140 per month into an account with an APR of 6%. Will the person meet the goal? Select the correct choice below and fill in the answer box to complete your choice. (Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.) A. Yes, because the amount that will be in the college fund, S $40,000. B. No, because the amount that will be in the college fund, S $40,000. is more than the goal of is less than the goal of

A triangle drawn on a map has sides that measure 7 cm, 14 cm, and 12 cm. The shortest of the corresponding real-life distances is 120 km. Find the longest of the real-life distances. A. 195.7 km B. 250.0 km C. 205.7 km D. 240.0 km

Sally receives a bill from the medical clinic for services totaling $350.00. A 10% discount is offered to patients who pay their bill within 60 days. How much would Sally save by paying her bill within 60 days? 10% is figured by multiplying by 0.10 (x0.10), or by moving the decimal point one place to the left.

Select the correct answer from each drop-down menu. Of the 16 cards drawn from a standard deck of 52 cards, experimental probability of drawing a spade is a spade from a standard deck of cards is 5 of the cards are spades. Based on the cards that were drawn, the and the difference of the experimental and theoretical probabilities of drawing a spade from a standard deck of cards is____

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.