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MATH SOLVE
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At 12:00 in the afternoon Paul stopped at the gas station and filled his car 50-liter tank to capacity. After Paul drove 75 miles away from the station, the tank developed a leak and the car started to lose 15 liters of fuel per minute. If Paul is traveling at a constant speed of 50 miles per hour and his car consumes 10 liters per every 100 miles, at what time of the day will Paul run out of gas?
General
4 months ago
Pschological tests are often used to determine the hostility levels in people. High scores on the HLT pschological test corresponds to high hostility levels. Suppose that 26 college students, all with equally high HLT test scores, were separated into two groups randomly. Group 1 (10 students) was treated for high hostility levels by using Method A; whereas Group 2 (16 students) was treated for high hostility levels by using Method B. Both groups were treated for a period of 5 months, at which time all 26 students were again given the HLT test. Below is the summary data on the HLT test for the two groups.Group 1: sample mean is 79 and sample standard deviation is 7Group 2: sample mean is 84 and sample standard deviation is 8Compute a 95% confidence level for the difference in the means of the two treatment methods and select the best answer below. Assume that the independent random samples were taken from normal distributions and that the two population variances are equal.
General
4 months ago
What is an equation of the line that is perpendicular to y-3 = -4(x + 2) andpasses through the point (-5,7)?O A. Y+7=-=(x-5)O B. 7-7 - }(x+5)OOc. y - 7 = -4(x + 5)D. y+ 7 = 4(x - 5)
General
4 months ago
A recent survey of 50 executives who were laid off during a recent recession revealed it took a mean of 26 weeks for them to find another position. The standard deviation of the sample was 6.2 weeks. Construct a 95% confidence interval for the population mean.
General
4 months ago
Report Error Suppose $P(x)$ is a polynomial of smallest possible degree such that: $\bullet$ $P(x)$ has rational coefficients $\bullet$ $P(-3) = P(\sqrt 7) = P(1-\sqrt 6) = 0$ $\bullet$ $P(-1) = 8$ Determine the value of $P(0)$.
General
4 months ago
A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. He wants to construct the 98% confidence interval with a maximum error of 0.15 reproductions per hour. Assuming that the mean is 10.8 reproductions and the standard deviation is known to be 1.8, what is the minimum sample size required for the estimate? Round your answer up to the next integer.
General
4 months ago
A recent survey of 1070 U.S. adults selected at random showed that 669 consider the occupation of firefighter to have very great prestige. Estimate the probability (to the nearest hundredth) that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige. (Enter a number.)
General
4 months ago
To find the standard deviation of the diameter of wooden dowels, the manufacturer measures 19 randomly selected dowels and finds the standard deviation of the sample to be sequals0.16. Find the 95% confidence interval for the population standard deviation sigma. Round to two decimal places. A. 0.13less thansigmaless than0.22 B. 0.15less thansigmaless than0.21 C. 0.11less thansigmaless than0.25 D. 0.12less thansigmaless than0.24
General
4 months ago
A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric fence. With 700 m of wire at your disposal, what is the largest area you can enclose, and what are its dimensions?
General
4 months ago
The drama teacher at a high school wants to conduct a survey to determine the percentage of students in the school who are willing to pay a fee for participating in clubs. Ten students are selected randomly from each of the drama teacher's classes to complete the survey. This plan is an example of which type of sampling? a. Cluster Convenience b. Simple random c. Systematic Stratified random
General
4 months ago
LaL2321452 A chef is using vinegar for a salad dressing recipe. She has 2 cups of vinegar.She knows there are 8 fluid Ounces in 1 cup, and 2 tablespoons in 1 fluid ounce.How many tablespoons are in 2 cups of vinegar?A32 tablespoonsB16 tablespoonsC8 tablespoonsD4 tablespoons3 A market selis 7 oranges for $2.45. How much will 8 oranges cost?Show your work.What is the answer?
General
4 months ago
10/16 divided by 5/15!! Plz help plz plz plz plz
General
4 months ago
Finbar invested money in a transportation stock whose growth is modeled by the function f(x) = 0.01(2)x, where x represents number of days. Find the approximate average rate of change from day 11 to day 15.A.0.013B.4C.76.8D.307.2
General
4 months ago
X divided by three minus X +3÷5 = 6
General
4 months ago
consider the followin polynomials equations a=3x2(x-1) b= -3x3+4x2-2x+1 . perform each operation and determine if the result is a polynomial. is the result of a+b a polynomial? is the result of a-b a polynomial? is the result of a*b a polynomial?
General
4 months ago
Consider the following scenario: You would like to save up $50,000 after 10 years and plan to set up a structured savings plan to make monthly payments at 4.125% interest annually, compounded monthly What lump sum amount would you need to invest at this interest rate in order to have $50,000 after 10 years?
General
4 months ago
Suppose that you would like to buy a home priced at $200,000. You plan to make a payment of 10% of the purchase price and pay 1.2% of the purchase price into an escrow account annually. a. Compute the total monthly payment and the total interest paid over the life of the loan for a 30-year mortgage at 4.8% annual interest. b. Compute the total monthly payment and the total interest paid over the life of the loan for a 20-year mortgage at 4.8% annual interest.
General
4 months ago
The second term in a geometric series is 10, and the seventh term is 10,240. Find the sum of the first six terms.
General
4 months ago
A chemist has two solutions: a 50% methane solution and an 80% methane solution. He wants 100 mL of a 70% methane solution. How many mL of each solution does he need to mix?
General
4 months ago
Let u = 〈1,5〉 and v = 〈3, −2〉. Write each vector in component form and draw an arrow to represent the vector.a. u + vb. u − vc. 2u + 3v
General
4 months ago
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