Math Questions

For the given data set, find the a. mean and b. mode (or state that there is no mode) Ages of teachers in the mathematics department of a certain high school: 26,31,48,37,24,30,26,37,20 a.37 b. 30 a. 31 b. 26,37 a. 26 b. 31.5 a. 30 b. 31

Consider the line - 6x+7y=4. Find the equation of the line that is perpendicular to this line and passes through the point (1, 5). Find the equation of the line that is parallel to this line and passes through the point (1, 5). Note that the ALEKS graphing calculator may be helpful in checking your answer. Equation of perpendicular line: Equation of parallel line:

Against the wind a small plane flew 210 miles in 1 hour and 10 minutes. The return trip took only 50 minutes. What was the speed of the wind? What was the speed of the plane in still air? The speed of the plane in still air was mph. The speed of the wind was mph.

Use the frequency histogram to complete the following parts. (a) Determine the number of classes. (b) Estimate the greatest and least frequencies. (c) Determine the class width. (d) Describe any patterns with the data. classes. (a) There are (Type a whole number.) (b) The least frequency is about (Round to the nearest whole number as needed.) The greatest frequency is about (Round to the nearest whole number as needed.) (c) The class width is (Type an integer or a decimal. Do not round.) (d) What pattern does the histogram show?

A building is 60 feet high. At a distance away from the building, an observer notices that the angle of elevation to the top of the building is 41°. How far is the observer from the base of the building? 79.5 ft 69.0 ft 52.2 ft 91.5 ft

The population density of an area can be computed by dividing the total population by the total land area. The population density of Rhode Island is 870.5 people/square mile and the population is 1,055,046. What is the area of Rhode Island?

Make a box-and-whisker plot that represents the data. Describe the plot, in the area provided, by giving Q1,Q2,Q3, and Q4. If there are any outliers be sure to identify them. Newly planted tree heights (in inches): 16, 10, 10, 18, 18, 6, 24, 16

Find the unit vector in the direction of (-8,-6). Write your answer in component form. Do not approximate any numbers in your answer.

A technical machinist is asked to build a cubical steel tank that will hold 540 L of water. Calculate in meters the smallest possible inside length of the tank. Round your answer to the nearest 0.01 m.

Which of the following is a true statement? a. A horizontal translation changes the x-coordinate of the endpoints of a figure but the y-coordinate remains the same. b. A vertical translation changes the x- coordinate of the endpoints of a figure but the y-coordinate remains the same. c. A horizontal translation changes the y-coordinate of the endpoints of a figure but the x-coordinate remains the same. d. A vertical translation changes both coordinates of the endpoints of a figure.

A space plane skims the edge of space at 4000 miles per hour. Neglecting altitude, if the circumference of the planet is approximately 20,000 miles, how long will it take for the plane to travel around the planet? How long will it take for the plane to travel around the planet? It will take__for a plane to travel around the planet. (Type an integer or a decimal.)

Brandon is on one side of a river that is 80 m wide and wants to reach a point 250 m downstream on the opposite side as quickly as possible by swimming diagonally across the river and then running the rest of the way. Find the minimum amount of time if Brandon can swim at 2 m/s and run at 4 m/s. (Use decimal notation. Give your answer to two decimal places.)

Ivan takes classes at both Westside Community College and Pinewood Community College. At Westside, class fees are $98 per credit hour, and at Pinewood, class fees are $115 per credit hour. Ivan is taking a combined total of 19 credit hours at the two schools. Suppose that he is taking w credit hours at Westside. Write an expression for the combined total dollar amount he paid for his class fees.

Divide and express the result in standard form. 2i/6-8i

Express the following interval in set-builder notation and graph the interval on a number line. [0, 8) What is the interval in set-builder notation? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. B. All real numbers. C. There is no solution.

Suppose H (x)= (5x-2)6. Find two functions and g such that (fog)(x) = H (x). Neither function can be the identity function. (There may be more than one correct answer.) ƒ(x) = g(x)=

A plane flying a straight course observes a mountain at a bearing of 30.2° to the right of its course. At that time the plane is 9 kilometers from the mountain. A short time later, the bearing to the mountain becomes 40.2°. How far is the plane from the mountain when the second bearing is taken (to the nearest tenth of a km)? 7 km 13.1 km 4.7 km 11.5 km

Chris has a job selling newspapers every morning. He receives a base pay of $10 per day and also gets 15 cents for every paper he sells. One morning he made $16.45. How many papers did he sell? A 39 B 43 C 52 D 64

How is a sample related to a population? Choose the correct answer below. A. A sample is a numerical measure that describes a sample characteristic. B. A sample is a subset of a population. C. A sample is the collection of all outcomes, responses, measurements, or counts.

You are conducting a study to see if the proportion of men over 50 who regularly have their prostate examined is significantly more than 0.18. Thus you are performing a right-tailed test. Your sample data produce the test statistic z 1.92. Find the p-value accurate to 4 decimal places.

Brent Pickett borrowed $4000 from his brother Dave. He agreed to repay the money at the end of 2 years, giving Dave the same amount of interest that he would have received if the money had been invested at 3.25% compounded quarterly. How much money did Brent repay his brother? Brent repaid his brother $ (Round to the nearest cent as needed.)

Read the sentence. Toni's father taught at two schools, Concordia College and University of Wisconsin-Madison. How does the underlined phrase function in the sentence? as an adverb prepositional phrase as an appositive with essential information as an appositive with nonessential information as an adjective prepositional phrase

A man uses a loan program for small businesses to obtain a loan to help expand his vending machine business. The man borrows $29,000 for 4 years with a simple interest rate of 1.3%. Determine the amount of money the man must repay after 4 years. The man must repay $

Veronica wants to cut a sheet of paper into squares with an area of 12 square inches. For the best approximation, the length of inches. If each side were exactly this length, the each side of the square pieces of paper must be approximately equal to area of each square would be square inches.

A scuba diver is taking samples for research. The depths (in feet) from which samples were taken are listed below. 24.2, 11.1, 8.2, 17.5, 28.4, 8.2, 9.7, 41.2, 13.4, 12.1, 26.8, 8.2 a. Find the mean, median, and the mode of the depths. Be sure to show your work. b. Which measure of center best represents the data? Explain.

Which of the deals shown has the lesser unit price? Deal 1: 9 pairs of shorts for $89.01 Deal 2:8 pairs of shorts for $75.92 Choose the correct answer below. A. Deal 1 and Deal 2 have the same unit price. B. Deal 1 has the lesser unit price. C. Deal 2 has the lesser unit price.

A 150-pound person uses 5.1 calories per minute when walking at a speed of 4 mph. How long must a person walk at this speed to use at least 210 calories? minutes in order to use at least 210 calories. A person must walk for at least (Round up to the nearest minute.)

Describe the transformation of f(x) = cosx to g(x) = cosx-4 A. (x) is shifted 4 units right to g(x). B.(x) is shifted 4 units left to g(x). C. (x) is shifted 4 units down to g(x). D. f(x) is shifted 4 units up to g(x).

x2+5 – 2 When trying to factor, Sarita says this polynomial is PRIME. Why is she correct? there are no numbers with a product of -2, and a sum of 5 there are no numbers with a product 5, and a sum of -2 both 5 and -2 are prime numbers

The function h (t) = -16t(t-7) models the height of an object at any time t after it is launched, where t is measured in seconds. After how many seconds will the object hit the ground? 3.5 seconds 7 seconds 9 seconds 16 seconds

Gaines invested $11,000 in a money market account with an interest rate of 2.25% compounded semiannually. Three years later, Karen withdrew the full amount to put toward the down payment on a new house. How much did Karen withdraw from the account? Karen Karen withdrew $ (Round to the nearest cent as needed.)

Consider the line y=-7x+6. Find the equation of the line that is parallel to this line and passes through the point (2, 4). Find the equation of the line that is perpendicular to this line and passes through the point (2, 4). Note that the ALEKS graphing calculator may be helpful in checking your answer. Equation of parallel line: Equation of perpendicular line:

You and your friend plan to meet for coffee in a town between your two towns. You both drive at a constant speed for 45 minutes, but your speed is 40 miles per hour and your friend's speed is 35 miles per hour. What is the total distance between your town and your friend's town? Justify your answer.

Suppose you take out a loan of $15,000 where interest on the loan accrues at an APR of 8.4% compounded monthly. a. If the loan is to be paid back in 12 years. What will the monthly payment of the loan be? b. What will the total interest on the loan be?

Use the simple interest formula to determine the missing value. p=$1275, r=?, t=2 years, i=$30.60 r= % (Do not round until the final answer. Then round to one decimal place as needed.)

A certain forest covers an area of 2300 km². Suppose that each year this area decreases by 3%. What will the area be after 13 years? Use the calculator provided and round your answer to the nearest square kilometer.

A cylinder and a sphere both have the same radius, 4. The height of the cylinder is equal to the diameter of the sphere. Select the expression that describes the volume of the cylinder that is not occupied by the sphere. (Use π=3.14) A. 39.67 B. 85.33π-128π C. 124.56 D. 128π-85.33π

A company sells orange juice in spherical containers that look like oranges. Each container has a surface area of approximately 113 in². Use 3.14 for π. Part 1 out of 2 What is the volume of the container? Round to the nearest tenth. The volume of the container is approximately

Solve the quadratic equation by completing the square. x² +8x+14=0 First, choose the appropriate form and fill in the blanks with the correct numbers. Then, solve the equation. If there is more than one solution, separate them with commas. Form:

A laptop computer is purchased for $2400. After each year, the resale value decreases by 25%. What will the resale value be after 4 years? Use the calculator provided and round your answer to the nearest dollar.

Round your answer to 3 decimal places when necessary. Find the probability of selecting either a non-smoker or a woman when you select a person at random from a group composed of 50 female smokers, 45 male smokers, 20 female non-smokers, and 45 male non-smokers. 0.125 0.844 0.719 0.178

Your class earned $110.00 Saturday afternoon by washing cars to raise money for a class trip. This is 1/4 of the money needed for the trip. What is the total amount needed? A $114 B $27.50 C $106 D $440

Write the quadratic equation with the following transformations: Reflected over the x-axis Vertical shrink of 1/3 Translated up 2 units y = -3(x + 2)² y = -(1/3)x² + 2 y = -(1/3)(x + 2)² y = -3x² + 2

Let f(x)=x³-4x²+7x-6/x-2 a. Graph the function on the window xmin = -2, xmax = 4, ymin = 0, ymax = 10. b. What is the domain of the function? c. Find lim x⇒2 f(x). d. Write a very short paragraph about the importance of examining a function analytically as well as graphically. e. In light of part b, make sure your graph is correct.

Find the average rate of change of f(x)=x²+3x+1 from x=-4 to x= 1. Simplify your answer as much as possible.

Use a sum or difference identity to find the exact value of the expression. tan 15° tan 15° = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

Jamie and Margie need to divide a couch and a hot tub. Using the Method of Sealed Bids, Jamie bids $530 on the couch and $160 on the hot tub, while Margie bids $490 on the couch and $180 on the hot tub. Jamie will get the couch, and Margie will take the hot tub and will also get a little bit of money from Jamie. To make the division fair, how much money will Jamie have to give to Margie?

Consider the line -7x+2y=2. Find the equation of the line that is parallel to this line and passes through the point (-6, 1). Find the equation of the line that is perpendicular to this line and passes through the point (-6, 1). Note that the ALEKS graphing calculator may be helpful in checking your answer. Equation of parallel line: Equation of perpendicular line:

Which of the following is an attribute of any quadratic function? It has a constant rate of change. The function values increase as x increases. It is symmetric about a line through its vertex. The graph always intersects the x-axis twice.

At a festival, stunt devils are launched in large catapults and air cannons. On one launch, the height of the stunt devil in feet above the ground after t seconds is modeled by y = -16t² + 60t +8. How long does it take the stunt devil to hit the ground? 10.2 sec 15 sec 3.8 sec 16 sec