Math Questions

Carolyn was not able to sell her house for $220,000, so she lowered the price to $195,000. What was the percent of decrease? Round to the nearest tenth of a percent.

Solve and check the linear equation. 5(x-2)+17= 4(x+3) 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.

You are given 6 to 1 odds against tossing three heads with three coins . (probability 1/8 meaning you win $ 6 if you succeed and you lose $ 1 if you fail. How much money you expect to win (or lose) after 200 games?

A wooden artifact from an ancient tomb contains 55 percent of the carbon-14 that is present in living trees. How long ago, to the nearest year, was the artifact made? (The half-life of carbon-14 is 5730 years.) years

A plane traveled 1120 miles to Cheyenne and back. The trip there was with the wind. It took 10 hours. The trip back was into the wind. The trip back took 20 hours. Find the speed of the plane in still air and the speed of the wind. A) plane: 84 mph, wind: 28 mph C) plane: 39 mph, wind: 39 mph B) plane: 130 mph, wind: 20 mph D) plane: 39 mph, wind: 26 mph

In 1984, the population of Greensboro, N.C. was 197,910. According to the U.S. Census Bureau, Greensboro has been decreasing at the rate of 6.9% annually since 1984. What equation models the population of Greensboro t years after 1984? 197, 910(1 - 6.9)t 197, 910(1 - 0.69)t 197,910(1-0.069)t 197, 910(1 - 69)t

Is the equation A = 21000(1-0.12)t a model of exponential growth or exponential decay, and what is the rate (percent) of change per time period? exponential decay and 88% exponential decay and 12% exponential growth and 12% exponential growth and 88%

Mr. Smith invested $2,500 in a savings account that earns 3% interest compounded annually. He made no additional deposits or withdrawals. Which expression can be used to determine the number of dollars in this account at the end of 4 years? 2500(1+0.04)³ 2500(1+0.3)4 2500(1+0.03)4 2500(1+0.4)³

A hot-air balloon is floating above a straight road. To calculate their height above the ground, the balloonists simultaneously measure the angle of depression to two consecutive mileposts on the road on the same side of the balloon. The angles of depression are found to be 21 and 23°. How high (in feet) is the ballon?

A psychologist wants to estimate the standard deviation of IQ scores. It is widely believed that IQ scores follow a normal distribution. Her random sample of 20 IQ scores has a mean of 101.3 and a standard deviation of 16.9. Find the 90% confidence interval for the population standard deviation based on this sample. Then give its lower limit and upper limit. Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. (If necessary, consult a list of formulas.)

Order the investments below from 1 to 4, with the investment labeled "1" being theriskiest and the investment labeled "4" being the safest. Foreign Stocks U.S. Government Bonds Fixed-Income Bank Account U.S. Stocks

There are 800 toothpicks in a regular-sized box. If a jumbo box is made by doubling all the dimensions of the regular-sized box, how many toothpicks will the jumbo box hold?

Paul purchased a $2450 bond paying 3.5% annual simple interest after graduating from college. It is now 21 years later and he decides to cash in the bond. What is the value of this bond now? Round your answer to the nearest dollar. $1808 $4251 $4125 $18,008 $1800.75

Given that f(x)= x²(x+3)². Which of the following is correct? As x→∞, f(x)→∞o; as x→∞, f(x)→-∞0. As X →∞, f(x)→-o; as xxx, f(x) →∞. As x→∞, f(x)→∞o; as x→ ∞, f(x) →∞. AS X →∞o, f(x) →∞o; as x→∞o, f(x)→ ∞.

Which best describes the numbers satisfying the inequality x<7? all numbers greater than 7 all numbers less than 7 all numbers greater than and including 7 all numbers less than and including 7

Trials in an experiment with a polygraph include 98 results that include 24 cases of wrong results and 74 cases of correct results. Use a 0.05 significance level to test the claim that such polygraph results are correct less than 80% of the time. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution.

A farmer has 100 feet of fence available to enclose a 500 square foot region in the shape of adjoining squares, with sides of length x and y. The big square has sides of length x and the small square has sides oft length y. Find x and y.

A 15-foot ladder leans against the side of a house with its base 4 feet from the house. Use the Pythagorean Theorem to approximate how high the ladder reaches up the side of the house. Round your answer to the nearest hundredth. The ladder reaches feet high.

Samantha wants to start a college fund for her daughter Taylor. She puts $37000 into an account that grows at a rate of 2.14% per year, compounded monthly. Write a function, C(t), that represents the amount of money in the account t years after the account is opened, given that no more money is deposited into or withdrawn from the account C(t) =

A helicopter can hold a maximum of 8 people or 1000 pounds. A group of 7 people want to know if they can take a ride. Which measure of central tendency in relation to the group's weight could you use to determine if the 7 people can ride together? Mean Mode Median Standard Deviation

2. An educator was trying to determine the effect of remote learning on middle school aged children. They randomly selected 250 students who spent a full year with in person learning and 190 of them showed similar or improved scores on a set of metrics. They also randomly selected 350 student who spent the year remotely learning and 252 of them showed similar or improved scores. a. Construct a 95% confidence interval for the difference of proportions. Show all intermediate calculations to receive full credit. b. Based on the confidence interval can you conclude there is a difference between the two groups?

a) Approximate the area under the curve of f(x) = -x³ + 20 from x = 1 to x = 4 to using 3 right approximating rectangles. b) The answer from part "a" is Select an answer

A hyperbola has vertices (1,2) and (3,2). Which of the following equations could represent this hyperbola? Select all that apply.

Consider the following inequality: 25 <(x + 1)^2 + (y+ 6)^2. The shaded solution on the coordinate plane includes all of the area outside the circle, which is bordered by a dotted line. True False

Graph the inverse of the function f(x) = 2x+4. Show the function and its inverse on the same coordinate plane. Your answer must include: • A hand-drawn or calculator-created image of the graphs with the functions f(x) and f1(x) identified, along with labeled axes. • A table of values with at least six ordered pairs for each function, f(x) and f¹(x). . An explanation of the reason these functions are inverses. Use complete sentences.

Determine where the graph of f is below the graph of g by solving the inequality f(x) sgtx). f(x)=x^4 +3 g(x) = x + 3 f(x) ≤ g(x) if x ≤ 0 or x≥ 1 f(x) ≤ g(x) if x ≤ -1 or x≥ 1 f(x) ≤ g(x) if-1 ≤ x ≤ 1 f(x) ≤ g(x) if 0 ≤ x ≤ 1

You approach a hill on top of which there is a tall radio antenna. You know from your map that your horizontal distance from the bottom of the radio antenna is 600 feet. The angle of elevation to the bottom of the antenna is 10°, and the angle of elevation to the top of the antenna is 25°. You figure that the height of the hill is feet, and the height of the antenna is feet. (Enter your answers rounded to the nearest foot.) Hint: Draw a picture. Figure out the height of the hill. Figure out the combined height of the antenna and the hill. Compute the difference.

Read the following description: An organization that provides networking and collaboration for American Indian and Alaska native psychological professionals Which of the following organizations best matches the description? Select the best answer. AAPA NLPA SIP Keyboa

Suppose that a person with a push mower can mow a large lawn in 9 hours, whereas the lawn can be mowed with a riding lawn mower in 7 hours. Working together, how long will it take to mow the lawn? How long will it take to mow the lawn? hours (Simplify your answer. Type an integer or a fraction.)

Person A who is 20 years old, gives $6000 to their stock fund and continues to do so for the next 10 years. Person B started contributing $6000 to the same stock and continues until he is 65. Person B invested a total of $210,000 and person A only contributed $60,000. At age 65, which of the 2 people had the most money assuming they earned an average rate of return equal to 7% (by how much??) Use Future value= P{(1+r)^t -1}

You are flying a kite on a line that is 350 feet long. Let's suppose the line is perfectly straight (it never really is) and it makes an angle of 65 degrees with the horizontal direction. The kite is flying at an altitude of feet. Hint: Draw a picture. Look for a right triangle.

A competitive knitter is knitting a circular place mat. The radius of the mat is given by the formula r(t) = 5- 605/(t + 11)² with 7 in centimeters and t in seconds. A. Find the rate at which the area of the mat is increasing. Select an answer B. Use your expression to find the rate at which the area is expanding at t = 3.

A genetic experiment involving peas yielded one sample of offspring consisting of 433 green peas and 142 yellow peas. Use a 0.01 significance level to test the claim that under the same circumstances, 25% of offspring peas will be yellow. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution.

Select ALL the correct answers. Two friends worked together on an entry for a poetry contest and won; however, there is only one prize and it cannot be split. Some methods of determining who receives the prize are given below. Select all the fair methods for determining who receives the prize. ask a stranger to flip a coin throw a stone closest to an object place both names in equal amounts into a hat and draw one without looking ask a random friend to choose roll a die and evaluate the outcome as either even or odd

Since January 2005 the population of Brownsville has grown according to the mathematical model y = 778500 . (1.018)x, where x is the number of years since 2005 a) What is the percent growth for this situation? b) What would the population be in the year 2015 according to the equation above? (round to the nearest whole number)

A large corporation sent out four groups of people to conduct observational studies on the average walt time at four different restaurants in its restaurant group. The restaurants have approximately the same ratings in terms of quality and popularity. In their reports to the company board, each of the four groups described different methods used to conduct their studies, as shown in the table. Which group's method will give the most accurate, unbiased results? Northeast Researchers observed and recorded the average wait times each day between the hours of 8 a.m. and 11 a.m. South Researchers used a phone survey to ask residents of the restaurants' city about the wait times they've experienced. A. B. Northeast C. Midwest D. West Coast South West Coast Researchers surveyed restaurant-goers on their wait times as they left the building over the course of one full business day. Midwest Researchers observed and recorded the average wait times during random time periods over the course of a week.

The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of 3 cm/s. When the length is 11 cm and the width is 5 cm, how fast is the area of the rectangle increasing? cm²/s

You order ten burritos to go from a Mexican restaurant, six with hot peppers and four without. However, the restaurant forgot to label them. If you pick three burritos at random, find the probability that at least one has hot peppers 2/15 5/6 29/30 4/5 41/42

A function f(x) and interval [a, b] are given. Check if the Mean Value Theorem can be applied to f on [a, b]. If so, find all values c in [a, b] guaranteed by the Mean Value Theorem Note, if the Mean Value Theorem does not apply, enter DNE for the c value. f(x) = 4 sin-1x on [-1,1] (Separate multiple answers by commas.)

P-value is the A. probability, when the null hypothesis is false, of obtaining a sample result that is at least as unlikely (or as extreme) as what is observed B. probability, when the null hypothesis is true, of obtaining a sample result that is at least as unlikely (or as extreme) as what is observed C. t test statistic (that is, P-value = t test statistic) D. Both B and C.

Solve and check the following linear equation. 8x − (5x – 3) = 27 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is (Type an integer or a simplified fraction.) B. The solution set is {x|x is all real number}. C. The solution set is Ø.

Polonium-210 is a radioactive substance with a half-life of 138 days. If a nuclear facility is handling 110 grams of polonium-210, then how many grams of polonium- 210 will be left in 270 days. Round your answer 4 decimal places and remember to use labels.

In a junior track and field meet, Jennifer jumped a height of 1.873 meters in the high jump. Samantha jumped a height of 1.807 meters. A. Use <, >, or = to write a number sentence comparing the heights of the girls' jumps. Whose jump was higher? Explain how you know. B. In the boys' long jump, Kevin jumped a distance of (6 × 1) + (9x) + (8 × 100)+(3× 1,000) meters. Leon jumped a distance of 6.093 meters. Kevin said he jumped farther than Leon. Is Kevin correct? Explain why or why not. C. Ben and Michael also participated in the long jump. Michael jumped 334 thousandths of a meter less than Kevin. Ben jumped farther than Michael but not as far as Kevin. Write a decimal to the thousandths that is greater than Michael's distance and less than Kevin's distance. Explain the reasoning you used.

A scatterplot is used to display data where x is the amount of time, in minutes, one member can tolera sauna, and y is the temperature, in degrees Fahrenheit, of the sauna. Which interpretation describes a line of best fit of y=-1.5x + 173 for the data? The member can tolerate a temperature of 173° Fahrenheit for 0 minutes. The amount of time the member can tolerate the heat in a sauna is 173 minutes. The time increased 1.5 minutes for every degree Fahrenheit the temperature increased. The time decreased 1.5 minutes for every degree Fahrenheit the temperature decreased.

A travel association claims that the mean daily meal cost for two adults traveigling together on vacation in San francisco is $105. A random sample of 20 such couples has a mean daily meal cost of $110 and a standard deviation of $8.50. At the α = .05 significance level, is there enough evidence to reject the claim? There is significant evidence that the claim is false, because p = .0165. There is not significant evidence to refute the athletic association's claim because 2.63 is not in the rejection region. Since p = 0.0165, there is evidence that the association's claim is true. No answer text provided.

The transaction history at an electronic goods store indicates that 21 percent of customers purchase the extended warranty when they buy an eligible item. Suppose customers who buy eligible items are chosen at random, one at a time, until one is found who purchased the extended warranty. Let the random variable P represent the number of customers it takes to find one who purchased the extended warranty. Assume customers' decisions on whether to purchase the extended warranty are independent. What is the probability that it takes more than 4 customers who buy an eligible item to find one who purchased the extended warranty?

According to a recent survey, forty percent of the people living in a certain region carry a certain genetic trait. People from the region will be selected at random one at a time until someone is found who carries the genetic trait. Let the random variable X represent the number of people selected to find one person who carries the genetic trait. On average, how many people from the region will need to be selected to find one person who carries the genetic trait?

Graph the given functions, f and g, in the same rectangular coordinate system. Describe how the graph of g is related to the graph of f. f(x) = - 4x g(x)=-4x-2

Find the contrapositive of the conditional "You are a vegetarian if you do not eat meat." . Caution: What is the antecedent of the conditional? If you eat meat, then you are not a vegetarian If you are not a vegetarian, then you eat meat If you are a vegetarian, then you do not eat meat If you do not eat meat, then you are a vegetarian

The perimeter of a rectangle is 20 inches and its area is 16 square inches. What are its dimensions? What are the dimensions? inches (Use a comma to separate answers as needed.)