Math Questions

In the graph on the right, a line segment through the center of the circle intersects the circle at the points (2,7) and (16, 9) as shown. a. Find the coordinates of the circle's center. b. Find the radius of the circle. c. Use your answers from parts (a) and (b) to write the standard form of the circle's equation.

You take a random sample of 500 people from the city of Salinas and find that their average e income is $45, 000 per year with a standard deviation of $10, 000; also assume that income for Salinas community is normally distributed, and that you have excluded extreme data points or outliers from your sample: Approximately how many people in your sample make less than $35, 000 per year? 80 Answer format: Enter a positive integer Congratulations! your answer is correct (and saved). Check Answer/Save Live Help Approximately how many people in your sample make between $25,000 and $55,000? Answer format: Enter a positive integer

Think About the Process You deposit $3,900 into a bank account with a simple interest rate of 8%. How can you find the account balance after 6 years? Then find the account balance after 6 years. How do you find your account balance after 6 years? A. First use I = prt to find the simple interest earned after 6 years. Then add that to the rate. B. First use I = prt to find the simple interest earned after 6 years. Then subtract that from the principal. C. First use I = prt to find the simple interest earned after 6 years. Then add that to the principal. D. First use I = prt to find the simple interest earned after 6 years. Then add that to the time. After 6 years your account balance will be $ Resume later Submit Quiz

On the blueprint of a house, 55 millimeters represents 10 meters. The actual length of the living room is 8 meters. What is its length on the blueprint? millimeters

On a common measure of extroversion, the general population has an average score of 51 with a standard deviation of 30. he probability of a researcher randomly selecting an individual who has an extroversion score of 62 or more?

80% of all bald eagles survive their first year of life. Give your answers as decimals, not percents. If 39. bald eagles are randomly selected, find the probability that a. Exactly 33 of them survive their first year of life. b. At most 34 of them survive their first year of life. c. At least 30 of them survive their first year of life. d. Between 26 and 34 (including 26 and 34) of them survive their first year of life.

The temperature in an industrial pasteurization tank is f(x) = x2 - 9x + 119 degrees centigrade after x minutes (for 0 ≤ x ≤ 13). (a) Find f'(x) by using the definition of the derivative. f'(x) = (b) Use your answer to part (a) to find the instantaneous rate of change of the temperature after 2 minutes. Be sure to interpret the sign of your answer. The temperature is ---Select--- at a rate of degrees per minute after 2 minutes. (c) Use your answer to part (a) to find the instantaneous rate of change after 6 minutes. The temperature is ---Select--- at a rate of degrees per minute after 6 minutes.

For the arithmetic sequence with a₁ =7/3 and d=-15/8 Part 1 of 3 (a) the first five terms The first five terms of the arithmetic sequence are (b) the 12th term (c) the sum of the first 12 terms

A preliminary behavioral study of the Jingdong black gibbon, a primate endemic to the Wuliang Mountains in China, found that the mean song bout duration in the wet season is 12.59 minutes with a standard deviation of 5.31 minutes. Assume that song bout is normally distributed. a. Determine the percentage of song bouts that have a duration one standard deviation to either side of the mean. b. Determine the percentage of song bouts that have a duration two standard deviation to either side of the mean. c. Determine the percentage of song bouts that have a duration three standard deviation to either side of the mean. Click here to view page 1 of the table of areas under the standard normal curve. Click here to view page 2 of the table of areas under the standard normal curve a. The percentage of song bouts within one standard deviation of the mean is 68.27 %. (Round to two decimal places as needed.) b. The percentage of song bouts within two standard deviation of the mean is (Round to two decimal places as needed.) % .....

ok so for this problem we need to write the answer in interval notation, and in the answer key its [-5/3,2] and i understand where the points came from and why its using brackets but why doesn't it use union? like (-infini, -5/3]U[2, infini) (edited) 4. 3x²-x-10 ≤0

Car color preferences change over the years and according to the particular model that the customer selects. In a recent year, suppose that 10% of all luxury cars sold were black. If 20 cars of that year and type are randomly selected, find the following probabilities. Look up the probability in the binomial probability distribution table. Click the blue part and the table will open or you can use the table.given in class. (Enter your answers to three decimal places.) (a) five or more cars are black. (b) six or less cars are black. (c) More than four cars are black. (d) Exactly four cars are black. (e) Between three and five cars (inclusive - meaning include three and five) are black. (f) μ = np μ = (g) σ = √(np(1-P)) σ =

Dawn, Keith, and John are all working on a history project. Dawn spent 1.2 hours less than 6 times as many hours on the project as John did. Keith spent 0.8 hours more than 5 times as many hours on the project as John did. If Dawn and Keith spent the same amount of time working on the project, how many hours did John spend working on the project?

A company decided to fine its workers for parking violations on its property. The first offense carries a fine of $19, the second offense is $23, the third offense is $27, and so on. What is the fine for the eighth offense?

The variable X denotes a binomial random variable with parameters n and p. Indicate which area under the approximate normal curve would be determined to approximate the given binomial probability. P(X= 15) The area between the lower delimiting x-value, and the upper delimiting x-value, (Use integers or decimals for any numbers in the expressions. Do not round.) would be determined to approximate the binomial probability P(X = 15).

On a park map, the distance from a picnic table to the hiking trail is 6 centimeters. The map uses a scale of 2 cm = 150 meters. What is the actual distance from the picnic table to the hiking trail?

An experiment consists of first rolling a die and then tossing a coin: a. How many elements are there in the sample space? b. Let A be the event that either a 2, 3 or 4 is rolled first, followed by landing a head on the coin toss. P(A) = Present your answer as a decimal rounded to four decimal places. c. Let B be the event that a number less than 2 is rolled, followed by landing a head on the coin toss. Are the events A and B mutually exclusive? Yes, they are Mutually Exclusive No, they are not Mutually Exclusive

(a) The annual inflation rate is 3.8% per year. If a movie ticket costs $12.00 today, find a formula for y, the price of a movie ticket t years from today, assuming that movie tickets keep up with inflation. (b) According to your formula, how much will a movie ticket cost in 25 years?

A variable is normally distributed with mean 18 and standard deviation 3. a. Determine the quartiles of the variable. b. Obtain and interpret the 85th percentile. c. Find the value that 65% of all possible values of the variable exceed. d. Find the two values that divide the area under the corresponding normal curve into a middle area of 0.95 and two outside areas of 0.025. Interpret the answer.

71% of all students at a college still need to take another math class. If 38 students are randomly selected, find the probability that a. Exactly 28 of them need to take another math class. b. At most 29 of them need to take another math class. c. At least 27 of them need to take another math class. d. Between 22 and 27 (including 22 and 27) of them need to take another math class.

As Jupiter revolves around the sun, it travels at a rate of approximately 8 miles per second. Convert this rate to kilometers per second. At this rate, how many kilometers will Jupiter travel in 15 seconds? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers. Rate: Distance traveled in 15 seconds:

At the city museum, child admission is $6.20 and adult admission is $9.80. On Friday, twice as many adult tickets as child tickets were sold, for a total sales of $722.40. How many child tickets were sold that day?

Ms. Landry charges $40 an hour with a $5 flat fee for tutoring. Ms. Bowman charges $30 an hour with a flat fee of $10 to tutor. Which equation represents the situation when the cost is the same to be tutored by Ms. Landry and Ms. Bowman, where h is hours? A) 40h + 30h-5+10 B) 40h+30h-10-5 40h+5-30h +10 D) 40h+ 10-30h+5

Graph y = f(x) by hand by first plotting points to determine the shape of the graph. f(x) = -1

Solve the equation by hand, give an exact solution (the expression you arrived to without having to touch a calculator) "2x³-1= 3.5 Type the expression you found so Desmos computes an approximate solution: Check the solution works. 2( )³-1

At the end of a snow storm, Savannah saw there was a lot of snow on her front lawn.. The temperature increased and the snow began to melt at a steady rate. The depth of snow on Savannah's lawn, in inches, can be modeled by the equation S = -1.5t + 15, where t is the time, in hours, after the snow stopped falling. Wha is the slope of the equation and what is its interpretation in the context of the problem? The slope of the function is which reveals

You and a group of friends participate in a game where you must use clues to escape from a room. You have a limited amount of time to escape and are allowed 3 free clues. Additional clues may be requested, but each removes 5 minutes from your remaining time. What integer represents the total change in the time when you use 5 clues?

If the temperature in Florida falls below 32°F there is a chance the citrus crop will be damaged. Supp the probability an orange tree will be damaged in cold weather is 0.18. Determine the probability more than 281 trees will be damaged in an orchard of 1425 trees. Is it appropriate to use a normal distribution to approximate the binomial probability in the previous question? Check the conditions below: np = 256.5 nq = 1168.5 ✓ 2 decimal, if needed. Is a normal approximation appropriate? Yes P(X> 281) = ✓ 2 decimal, if needed. If it is appropriate to do so, use a normal approximation to determine the approximate probability more than 281 will be damaged in an orchard of 1425 trees. Round intermediate calculations to 2 decimal places if needed. If it is not appropriate, please type 0 as your answer. x (Round to 4 decimal places.)

At a large high school outside of Chicago, there are two students running for class president, Ronald and Bo. 60% of the students in the school support Bo and the remaining 40% support Ronald. If you randomly sampled 12 students, what is the probability that more than half of your sample is comprised of Ronald supporters? Assume independence between students. Note: Round to the nearest thousandth.

Solve the equation by factoring. x² = 3x+10 Rewrite the equation in factored form. = 0 (Factor completely.)

Arissa finds that the cost of a local college is $13,467 for students who live in the state. Which statements are true? Check all that apply. Rounding the cost to the nearest ten results in a value that is less than the exact cost of tuition. Rounding the cost to the nearest ten results in a value that is greater than the exact cost of tuition. Rounding the cost to the nearest hundred results in a value that is less than the exact cost of tuition. Rounding the cost to the nearest hundred results in a value that is greater than the exact cost of tuition. Rounding the cost to the nearest thousand results in a value that is less than the exact cost of tuition.

Public relations specialists create and maintain a favorable public image for the organization they represent. They design media releases to shape public perception of their organization and to increase awareness of its work and goals. The median annual wage for public relations specialists was $55,680 in May 2014. SOURCE: United States. Department of Labor. "Public Relations Specialist." Occupational Outlook Handbook. 17 Dec. 2015. Web. 8 March 2016. A public relations specialist earns $63,500 salary each year. He/she wants to spend no more than three times his/her salary on a house. What is the maximum price of a home that he/she can afford? If a 5% down payment is required, what is the amount financed? If he/she buys a home for the maximum he/she can afford, what is the monthly mortgage payment for a 20 year fixed interest loan at 3.1% compounded monthly?

There are 8000 students at Mountain High School, and 3/10 of these students are seniors. If 1/4 of the seniors are in favor of the school forming a debate team and 5/7 of the remaining students (not seniors) are also in favor of forming a debate team, how many students do not favor this idea?

A cyclist rides her bike at a speed of 2 meters per second. What is this speed in kilometers per hour? How many kilometers will the cyclist travel in 4 hours? Do not round your answers. Speed: Distance traveled in 4 hours:

Below, is the sample size, P is the population proportion of successes, and X is the number of successes in the sample. Use the normal approximation and the Cumulative Normal Distribution Table to find the probability. Round the answer to at least four decimal places. n=76, p=0.41 P(X>38) =

Brian's Great-Grandma Pat is turning 100 years old! The family throws her a party, and Brian helps her open a large stack of birthday cards. After opening 46 cards, they stop so Grandma Pat can blow out the birthday candles. Brian and Grandma Pat leave the remaining 55 cards for later. Use an equation to find the total number of birthday cards in the stack. birthday cards

A drug test is accurate 98% of the time. If the test is given to 2400 people who have not taken drugs, what is the probability that at most 50 will test positive, in other words, the test was inaccruate? Round intermediate calculations to two decimal places. Probability = Give your answers to 4 decimal places.

Announcers present music, news, and sports, and may provide commentary or interview guests about these or other important topics. Some act as masters of ceremonies (emcees) or disc jockeys (DJs) at weddings, parties, or clubs. Many announcers work in radio and television studios. Some announcers are self-employed; others work part time. The median annual wage for announcers was $29,010 in May 2014. SOURCE: United States. Department of Labor. "Announcers." Occupational Outlook Handbook. 17 Dec. 2015. Web. 8 March 2016. A newscaster earns $33,100 and wants to invest 10% of his/her monthly salary to save for retirement in 23 years. If he/she invests this money at 5.1% compounded monthly, how much money will he/she have at retirement? a) How much will be saved each year? b) What will be the monthly deposit? c) What will be the amount in the account after 23 years?

11% of all Americans live in poverty. If 47 Americans are randomly selected, find the probability that a. Exactly 3 of them live in poverty. b. At most 4 of them live in poverty. c. At least 2 of them live in poverty. d. Between 4 and 12 (including 4 and 12) of them live in poverty.

In 1993, the moose population in a park was measured to be 4750. By 1999, the population was measured again to be 4030. If the population continues to change linearly: A.) Find a formula for the moose population, P, in terms of t, the years since 1990. P(t) = B.) What does your model predict the moose population to be in 2004?

A new bank customer with $3,000 wants to open an IRA (Individual Retirement Account) to earn money for retirement. The bank is offering a simple interest rate of 11%. How much interest will the customer earn in 20 years? In 30 years? What will be the account balance after 20 years? After 30 years? in interest. In 20 years, the account will earn $ In 20 years, the account balance will be $ In 30 years, the account will earn $ in interest. In 30 years, the account balance will be $

A clothing manufacturer makes denim and hooded fleece jackets. Each denim jacket requires 2 labor-hours for cutting the pieces, 2 labor-hours for sewing, and 1 labor-hour for finishing. Each hooded fleece jacket requires 1 labor-hour for cutting, 4 labor-hours for sewing, and 1 labor-hour for finishing. There are 32 labor-hours for cutting, 60 labor-hours for sewing, and 18 labor-hours for finishing available each day. The profit is $7 per denim jacket and $4 per hooded fleece jacket. Complete parts (a) through (e) below. (b) Let x be the number of denim jackets made each day. Let y be the number of hooded fleece jackets made each day. Refer to the chart, and give three inequalities that x and y must satisfy due to the available labor hours. Give the inequality arising from the available cutting hours. Give the inequality arising from the available sewing hours. Give the inequality arising from the available Finishing hours. (c) Give other requirements that x and y must satisfy. x ≥ y²

Consider a student loan of $25,000 at a fixed APR of 9% for 20 years. a. Calculate the monthly payment. b. Determine the total amount paid over the term of the loan. c. Of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest.

An electrician charges a set fee for every house call and then charges an hourly rate depending on how long the job takes. The total cost of the electrician's services can be determined using the equation C = 65+ 60t, where t is the number of hours the electrician spends at the house working. What is the slope of the equation and what is its interpretation in the context of the problem?

Use your graphing calculator to solve the equation graphically for all real solutions. x³4x²-3x + 14 = 0 Solutions: = Make sure your answers are accurate to at least two decimals.

What is the range of the function f(x)=x² f(x) = R ((x) > 0 f(x) ≥ 0 ((x) < 0 ((x) = 0

Andre plays baseball for his university and has a batting average, the probability of successfully hitting the ball, of 0.310. If Andre has 42 turns at bat, what is the probability he successfully hits the ball between 11 and 20 times?

A venture capitalist, willing to invest $1,000,000, has three investments to choose from. The first investment, a software company, has a 11% chance of returning $10,000,000 profit, a 45% chance of returning $2,500,000 profit, and a 44% chance of losing the million dollars. The second company, a hardware company, has a 10% chance of returning $10,000,000 profit, a 44% chance of returning $1,000,000 profit, and a 46% chance of losing the million dollars. The third company, a biotech firm, has a 12% chance of returning $6,000,000 profit, a 29% of no profit or loss, and a 59% chance of losing the million dollars. Order the expected values from smallest to largest. third, first, second second, third, first third, second, first first, third, second second, first, third first, second, third

If f(x) = x² and g(x)=x²-3, how has f(x) been transformed to get g(x)? The graph of f(x) has been shifted up three places The graph of f(x) has been shifted right three places The graph of f(x) has been shifted down three places The graph of f(x) has been shifted left three places The graph of f(x) has been stretched by a factor of 3

Nadia is a stockbroker. She earns 12% commission each week. Last week, she sold $4,500 worth of stocks. How much did she make last week in commission? If she averages that same amount each week, how much did she make in commission in 2011? Last week, she made $ in commission. In 2011, she made $ in commission.

You decide to quit using your credit card and want to pay off the balance of $3,400 in 4 years. Your interest rate is 16.2% compounded monthly. What will your monthly payments be? How much interest do you pay?