Math Questions

The formulas for the volume of which of the following shapes were used in order to determine the formula for the volume of a sphere? Select all that apply. triangular prism cube cone cylinder

A golfer hits the ball with an initial velocity of 140 ft/sec so that its path makes an angle of 31° with the horizontal. (b) How far is the ball from its starting point when it hits the ground? Give your answer to 2 decimal places.

2. A shoe company used packing boxes to ship four orders to retail stores. The number of packing boxes needed to transport the pairs of shoes is a function of the number of pairs ordered for each delivery. This function consists of only the ordered pairs (44, 3), (60, 4), (72, 5), and (88, 6). What is the domain for this situation? F {44,60,72,88} G (44,88) H (3, 4, 5, 6, 44, 60, 72, 88) J {3,4,5,6)

The probability that a tornado will hit Town D in any given year is 0.05. If A is the event that a tornado hits Town D in a given year, what is the probability that at least one tornado will hit Town D over the course of ten years? 0.40 0.95 0.60 0.50

Which statement about the linear parent function is true? A Its domain is the set of all non-negative numbers. B Its range is the set of all real numbers. C Its domain is the set of all negative rational numbers. D Its range is the set of ordered pairs graphed in Quadrants I and IV.

The probability that it will rain on October 24 Is 0.13. What is the probability that it will rain five years in a row on October 24? 0.0000371 0.13000 7.00000 0.000287

Consider the data set: 4, 5, 5, 6, 6, 8, 8, 9, 10, 14 What would happen to the median if another data point of 25 was added to the data set? The median would go up by 1.6 The median would go up by 1 The median would remain the same The median would go up by 2.3

An Xbox depreciates in value, which means that its value becomes less and less as time passes. Your new Xbox is worth $500 at the moment and its value drops approximately 4% each year. Use your equation to find out how much your Xbox will be worth in 7 years.

When comparing the volume of pyramids and prisms, what is the ratio of the volume of the pyramid to the volume of the prism If the bases are the same? 1:2 1:4 1:6 1:3

The volume of a small rubber ball is 20 cubic inches. If the radius of the ball were doubled, what would be the volume of the new, larger ball in cubic inches? A.20 in.3 C.80 in.3 B.40 in.3 D.160 in.3

A company manufactures cylindrical containers that each have a volume of 6 cubic feet. For a new container design, the company plans to keep the same height for the container and double the radius. Which statement best describes how this change will affect the volume of the container? F The volume will be multiplied by a factor of 2. H The volume will be multiplied by a factor of 0.5. G The volume will be multiplied by a factor of 4. JThe volume will be multiplied by a factor of 0.25.

Which best describes the relationship between the line that passes through (3, 1) and (5, 2) and the line that passes through (4, 3) and (5, 1)? a) perpendicular b) parallel c) neither parallel nor perpendicular d) same line

Paul has four shirts, two ties, and three pairs of pants. How many possible outfits can he make if he chooses one Item from each group? 504 84 12 24

The radius of a circle is 7 m. Find its area to the nearest tenth.

Mr. Kranz wants to buy a new car. He is considering a compact car, full-size sedan, or a sports utility vehicle. He can choose a standard or a luxury model for all three types of cars. There are blue, silver, and white colors available to choose from for each model. How many possible choices does Mr. Kranz have? 56 336 9 18

Sketch the graph of the surface z = 2x².

A deck of twelve cards consists of five green cards, four purple cards, and three yellow cards. What is the probability of being dealt a hand with two green cards, two purple cards, and one yellow card? 18/792 60/792 180/792 360/792

A credit card account number has sixteen digits where each digit is a selected from a set of numbers from 0-9. Which of the following represents the total number of possible credit card accounts?

A slide on a playground rises at a 45° angle. The top of the slide is 20 feet above the ground. How far does a child travel down the silde? Round answer to the nearest hundredth place. 34.64 feet 40.00 feet 20.00 feet 28.28 feet

Common test generators have the writer provide four possible answers. Then the test generator creates different versions of the test, randomly assigning the correct answer to a letter. There are five multiple choice questions with options (A, B, C, and D) on a qulz. What is the probability the first three answers are C? 1/1,024 5/1,024 1/64 5/256

The point (1, -1) is on the terminal side of angle 8, in standard position. What are the values of sine, cosine, and tangent of θ? Make sure to show all work.

Which would be the best way to combine the following sentences using an adjective clause? Mr. Kold's timepiece was synchronized to the clock tower. He always carried it. A. Mr. Kold's timepiece that he always carried, was synchronized to the clock tower. B. Mr. Kold's timepiece that he always carried was synchronized to the clock tower. C. Mr. Kold's timepiece, that he always carried, was synchronized to the clock tower.

The area of a parallelogram is 100 m². If a diagonal divides the parallelogram into 2 triangles, what is the area of 1 of the triangles? 1000 m² 200 m² 50 m² 10 m²

You have five lab rats (named A, B, C, D, E) that you have trained to play musical chairs, with three chairs In order one through three. How many possible orderings of the rats are there in the three chairs? 120 720 60 20

Joe constructed perpendicular bisectors of two sides of a triangle. What is his next step if he is constructing a circle circumscribing a triangle? Draw a line from the midpoint of one side to the opposite angle of the triangle. Draw arcs above and below the perpendicular bisector on one side. Mark the intersection of the perpendicular bisectors. Find the angle bisectors of two angles.

Solve the equation. tan θ= -2 sinθ What is the solution in the interval 0≤0<2n? Select the correct choice and fill in any answer boxes in your choice below. A. The solution set is {}. (Simplify your answer. Type an exact answer, using as needed Type your answer in radians. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. There is no solution.

There are two administrators, eight faculty, and six staff members for a committee. If a subcommittee of four is formed, what is the probability of selecting one administrator, two faculty, and one staff member? 12/1,820 56/1,820 168/1,820 336/1,820

Which of the following statements is true about any sphere? Its cross section is in the shape of a circle. It has only two dimensions. Its surface area is measured in cubic units. It has a radius that is always a perfect square.

A school editor Is choosing three of eight seniors and two of six juniors to report on graduation. What is the number of possible ways for the school editor to choose the team of reporters? 336 450 840 1,680

A swimming pool has to be drained for maintenance. The pool is shaped like a cylinder with a diameter of 9 m and a depth of 1.5 m. Suppose water is pumped out of the pool at a rate of 13 m² per hour. If the pool starts completely full, how many hours will it take to empty the pool? Use the value 3.14 for , and round your answer to the nearest hour. Do not round any intermediate computations. hour(s)

The area of a parallelogram Is 64 m². If a diagonal divides the parallelogram into 2 triangles, what is the area of 1 of the triangles? 8 m² 32 m² 128 m² 4 m²

A city has a density of 1452 people per square mile. If the town is 3.8 square miles, how many people live in the city? Round your answer to the nearest person.

For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C. A can is 12 cm tall with a radius of 8 cm. Part A: Write the formula for finding the volume of the can. Part B: Calculate the volume of the can. Part C: Show all work for Part B.

To pack for a business trip, Steve chooses four of nine dress shirts and two of three blazers. What is the possible number of ways for Steve to pack for his trip? 3 126 378 3,204

For the following system: WRITE THE TWO EQUATIONS. The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 adult citizen tickets and 1 student ticket for a total of $38. The school took in $52 on the second day by selling 3 adult tickets and 2 student tickets. Find the price of a senior citizen ticket and the price of a child ticket.

An online account provides a randomly generated PIN consisting of digits from zero to nine. The digits can be repeated. What is the probability all four digits being the same? 1/10 1/100 1/1,000 1/10,000

Sara has made this list to summarize what she learned in science class today: 1. Core 2. Radiation zone 3. Convection zone What is the best title for her list? The Layers of the Interior of the Sun The Layers of the Sun The Layers of the Atmosphere of the Sun The Main Layers of the Sun

What is the area of a rectangle with vertices located at (-1, 1), (-1,-4), (5, -4), and (5, 1)? 20 square units 12 square units 15 square units 30 square units

If the pre-Image from a dilation is smaller than the Image, what best describes the dilation's scale factor? There is not a scale factor for the dilation. The scale factor is equal to 1. The scale factor is less than 1. The scale factor is greater than 1.

What is the relationship between similar triangles and the altitude of a right triangle? Select all that apply. An altitude drawn from the right angle in a right triangle divides the triangle into two sub-triangles. Corresponding sides in right triangles are parallel. Missing sides of right triangles cannot be calculated using the properties of altitude and similar triangles. The sub-triangles are similar to the original triangle.

A normal distribution has µ = 1.45 and σ = .40. What is the interval that contains the middle 95% of the data set? 0.65 to 2.25 1.05 to 1.85 1.45 to 2.25 1.85 to 2.25

Find the center-radius form of the equation of the circle with center (-9,1) and tangent to the x-axis. (Hint: A line tangent to a circle touches it at exactly one point.) Type the center-radius form of the equation of the circle. (Type an equation. Simplify your answer.)

There are eight fiction books and seven nonfiction books on a shelf. Sara wants to bring three fiction and two nonfiction books on vacation, and she is going to read them in the order she chooses. What is the possible number of different ways for Sara to choose the books for vacation? 21 56 1,176 14,112

The probability of rain for March 13 is 0.35. What is the probability that it will on March 13 for four years in a row? 0.3500 0.1225 1.400 0.0150

In a factory that has been accident-free for a month, the employees enter a drawing to win gift cards. If the same five workers are in the drawing each month, what is the probability that Sam and Janelle win a gift card for four consecutive months? (1/10)4 (1/20)4 1/20 1/10

15. What type of edge on a 2-D figure will form a flat surface when it is rotated to form a 3-D figure? an edge perpendicular to the axis of rotation an edge that is curved and does not touch the axis of rotation an edge that is parallel to the axis of rotation an edge with a 45° angle with the axis of rotation

A movie theater has a seating capacity of 235. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 1696, How many children, students, and adults attended? children attended. students attended. adults attended.

The population of Hilliard, Ohio, in 2013 was 31,012 people. The area of the City of Hilliard in 2013 was 13.34 square miles. Find the population density of Hilliard in 2013 rounded to the nearest person.

Which of the following is the last step in solving a linear programming problem graphically? Identify the corner points by solving systems of linear equations whose intersection represents a corner point. Test all corner points in the objective function. Graph the constraints inequalities, and shade the feasible region Write the objective function

LT 15 A city with a population of 24380 people has a density of 2245 people/square mile. Rounded to the nearest tenth, what is the area of the city in square miles.