Math Questions

Suppose you just received a shipment of thirteen televisions. Four of the televisions are defective. If two televisions are randomly selected, compute the probability that both televisions work. What is the probability at least one of the two televisions does not work? The probability that both televisions work is. (Round to three decimal places as needed.)

4.2.4: Dante and Kevin were playing Battleship. In this game, there are 100 squares and each square can only be fired at once. Dante's first shot was a miss, so now he wants to calculate the probability of getting a hit on his next shot. Would he have to consider this event as independent or dependent? A. Independent B. Dependent C. I do not know how to do this problem

City Cabs charges a $2.25 pickup fee and $1.75 per mile traveled. Diego's fare for a cross-town cab ride is $23.25. How far did he travel in the cab?

There is a traffic light at the intersection of Elm Street and Rose Street. The traffic light on Elm Street follows a cycle. It is green for 20 seconds, yellow for 5 seconds, and red for 25 seconds. As you travel along Elm and approach the intersection, what is the probability that the first color you see is green? A. 30% B. 40% C. 20% D. 10%

Click or tap Proof Notebook to see a list of theorems. In a circle, a 60° sector has an area of 36π cm². Find the radius of the circle. Round your answer to the nearest whole centimeter. A.15 cm B.11 cm C.12 cm D.13 cm

A company finds that if they price their product at $30, they can sell 270 items of it. For every dollar increase in the price, the number of items sold will decrease by 5. What is the maximum revenue possible in this situation? What price will guarantee the maximum revenue?

Form the negation of the statement. Saturday does not come before Sunday. Choose the correct answer below. A. Saturday comes before Sunday. B. Sunday does come before Saturday. C. It is not true that Saturday comes before Sunday. D. Sometimes Saturday does not come before Sunday.

Write the negation of the conditional statement. If it is blue, then it is not a carrot. Choose the correct negation below. A. It is blue or it is a carrot. B. It is not blue and it is a carrot. C. If it is not blue, then it is a carrot. D. It is blue and it is a carrot.

Solve the given system of equations. 3x +2y-3z = -6 2x - 4y + 2z = -24 4x-3y + 4z = -33 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.

There is a traffic light at the intersection of Walnut Street and Lawrence Avenue. The traffic light on Walnut Street follows a cycle. It is green for 50 seconds, yellow for 10 seconds, and red for 30 seconds. As you travel along Walnut and approach the intersection, what is the probability that the first color you see is red? 1/3 1/5 1/2 3/5

According to the U.S. Census Bureau, the population of the United States in 2008 was 304 million people. In addition, the population of the United States was growing at a rate of 1.1% per year. Assuming this growth rate is continues, the model P(t) = 304(1.011)-2008 represents the population P(in millions of people) in year t. According to the model, when will the population be 426 million people?

The admission fee at an amusement park is $4.50 for children and $6 for adults. On a certain day, 258 people entered the park, and the admission fees collected totaled $1386. How many adults were admitted?

What is the urms (in m/s) for carbon dioxide (CO2) gas at 125°C? 475 m/s 266 m/s 15.0 m/s 226 m/s 70.9 m/s

At your school, 170 students participated in a fundraiser. It was the schools goal to get at least 80% of the students to participate. If there are a total of 290 students in the school, what percentage of the students participated in the fundraiser? *

A professional baseball player signs a contract with a beginning salary of $7,000,000 for the first year and an annual increase of 8% per year beginning in the second year. That is, beginning in year 2, the athlete's salary will be 1.08 times what it was the previous year. What is the athlete's salary for year 6 of the contract?

Find the sum of the infinite geometric series. 1-1/7+1/49-1/343+.... The sum of the infinite geometric series is

Find the standard form of the equation of the ellipse satisfying the given conditions. Foci: (0, -3), (0,3); vertices: (0, -9), (0,9) Type the standard form of the equation.

A rectangular room measures 12 feet by 15 feet. The entire room is to be covered with rectangular tiles that measure 3 inches by 2 inches. If the tiles are sold at ten for $1.20, what will it cost to tile the room?

Suppose a bus arrives at a bus stop every 15 minutes. If you arrive at the bus stop at a random time, what is the probability that you will have to wait at least 10 minutes for the bus? 2/3 1/2 1/3 1/4

According to a recent study, 8.5% of high school dropouts are 16-to 17-year-olds. In addition, 6.3% of high school dropouts are white 16-to 17-year-olds. What is the probability that a randomly selected dropout is white, given that he or she is 16 to 17 years old?

Find the quadratic function y = ax²+bx+c whose graph passes through the given points. (2,-20), (-3,30), (1, -14) y=

A population has a mean µ = 78 and a standard deviation σ =27. Find the mean and standard deviation of a sampling distribution of sample means with sample size n= 81.

You throw a ball straight up from a rooftop. The ball misses the rooftop on its way down and eventually strikes the ground. A mathematical model can be used to describe the relationship for the ball's height above the ground, y, after x seconds. a. Find the quadratic function y = ax² +bx+c whose graph passes through the given points. y = -16x² +60x+275 b. Use the function in part (a) to find the value for y when x = 5.

A Ferris wheel at an amusement park has a diameter of 60 metres and makes one complete rotation in 5 minutes. At the bottom of the ride the passenger is 2m off the ground. Determine an equation that represents the height, h, in metres above the ground at time, t, in minutes. The passenger is at the bottom of the Ferris wheel at time t = 0.

If two distinct prisms have bases of equal area and altitudes of equal length, then A. their total areas are equal B. their volumes are equal C. they have the same number of faces D. their lateral areas are equal

Write a formula for the general term of the geometric sequence. Then use the formula for an to find a7, the seventh term of the sequence. 1.8, -5.4, 16.2, -48.6, ... an=

There are 320 kids at a carnival. Before entering, 70% of the kids said they wanted to ride the roller coaster as soon as they entered the carnival. If 212 kids rode the roller coaster, what percentage of the kids actually rode the ride?

Solve the system of equations: {2x-5y+z=-15 {-x+y-z=3 {x-3y=-9

Be sure to answer all parts. a) Convert 0.921 atm to mmHg. mmHg b) Convert 666 torr to bar. bar c) Convert 626 kPa to atm. atm d) Convert 833 mmHg to kPa.

4.2.1: You have worked 5.5, 6, 8, and 6.5 hours so far this week. By Friday night, you want to have worked an average of 7 hours per day this week. How many hours do you need to work Friday to get your average?

The ratio of the lengths of the corresponding sides of two rectangles is 8:3. The area of the larger rectangle is 320 ft2. What is the area of the smaller rectangle? 120 ft² 90 ft² 30 ft² 45 ft²

At the beginning of an experiment, a scientist has 376 grams of radioactive goo. After 195 minutes, her sample has decayed to 23.5 grams. a) What is the half-life of the goo in minutes? minutes. Round your answer to the nearest whole number. How many grams of goo will remain after 53 minutes?

suppose you have an account that will grow to $255,000.00 in 18 years. It grows at 4.8% annual interest, compounded monthly, under the current investment strategy. The owner of the account, however, wants it to have $402,000.00 after 18 years. How much additional monthly contribution should they make to meet their goal?

Intelligence quotients (IQs) on the Stanford-Binet intelligence test are normally distributed with a mean of 100 and a standard deviation of 16. Use the 68-95-99.7 Rule to find the percentage of people with IQs between 84 and 116.

The National Hurricane Center issues a hurricane warning if sustained winds of 74 miles per hour or higher associated with a hurricane are expected in a coastal area. Write an inequality showing the wind speeds for which a hurricane warning is issued.

Oak Street intersects with Mill Avenue. The traffic light on Oak Street follows a cycle. It is green for 35 seconds, yellow for 5 seconds, and red for 20 seconds. As you travel along Oak and approach the intersection, what is the probability that the first color you see is red? Write the probability as a simplified fraction.

Determine if (6, -6,2) is a solution of the system. x+y+z=2 x-2y-z=16 2x-y-2z=14 Choose the correct answer below. The ordered triple is a solution to the system. The ordered triple is not a solution to the system.

Suppose you deposit $2000 in a savings account that pays interest at an annual rate of 4%. If no money is added or withdrawn from the account, answer the following questions. a. How much will be in the account after 3 years? b. How much will be in the account after 18 years? c. How many years will it take for the account to contain $2500? d. How many years will it take for the account to contain $3000?

Simplify cos(11t) + cos(5t)/sin(11t)+ sin(5t) to an expression involving a single trigonometric function.

Choose the best answer. The diagonals of a square: A. are the same length and Intersect at different angles B. are the same length and Intersect at a right angle C. do not bisect each other and Intersect at right angles D. bisect each other at different angles

NASA is building a satellite that is roughly the shape of a sphere. If the satellite weighs 14.25 pounds per cubic foot before launch, and has a diameter of 4.7 feet, what is the total weight in pounds of the satellite on Earth? Use π = 3.14. A. 950 lbs B. 921 lbs C. 774 lbs D. 815 lbs

Company A pays $24,500 yearly with raises of $1,700 per year. Company B pays $28,500 yearly with raises of $850 per year. Which company will pay more year 10? How much more? Which company pays more in year 10? Both companies pay the same. Company B pays more. Company A pays more. There is not enough information.

A sample of Freon-12 (CF₂Cl₂) occupies 10.0 L at 365 K and 111.40 kPa. Find its volume at STP.

Use Gaussian elimination to find the complete solution to the following system of equations, or show that none exists. 5x + 17y + 4z = 14 2x + 7y+ 3z=-6 x + 3y - 2z = 2 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. There is one solution. The solution set is {( )}. (Simplify your answers.) B. There are infinitely many solutions. The solution set is {( , , z)}, where z is any real number. (Type expressions using z as the variable. Use integers or fractions for any numbers in the expression.) C. There is no solution. The solution set is Ø.

The formulas below are the cost and revenue functions for a company that manufactures and sells small radios. C(x) = 70,000+32x and R(x) = 39x a. Use the formulas shown to write the company's profit function, P. from producing and selling x radios. b. Find the company's profit if 17,000 radios are produced and sold. a. The company's profit function is P(x) = (Simplify your answer.)

Roberto's train runs every 45 minutes. If he arrives at the train stop at a random time, what is the probability that he will have to wait at least 30 minutes? Round to the nearest percent. A. 75% B. 67% C. 50% D. 33%

If the equation y = 4(2) is plotted on a semilog scale graph, then the linearized equation will be log(y) = mx + b where

Solve sin(6x) cos(9x) - cos(6x) sin(9x) = -0.7 for the smallest positive solution. Give your answer accurate to two decimal places.

Consider the standard form of the equation x²/25 + y²/36 = 1 The value of a² is, so the y-intercepts are The graph passes through the ordered pairs which are the vertices. The value of b² is, so the x-intercepts are The graph passes through the ordered pairs The value of a² is, so the y-intercepts are The graph passes through the ordered pairs , which are the vertices. The value of b² is, so the x-intercepts are The graph passes through the ordered pairs

A sports recreation company plans to manufacture a beach ball with a surface area of 7238 in². Use the formula A = 4r, to find the radius of the beach ball. A represents the surface area r represents the radius of the sphere a. 24 in b. ±24 in c. 288 in d. 576 in