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Sabrina is planning a 1830-mile driving trip. Her car gets an average of 24 mpg, and the cost of gas is about $4.09/gallon. What is the approximate driving cost of the trip? A)$304 B)$312 C)$318 D)$328
General
5 months ago
Jen and David owe $22,000 in loans for their two cars. The amount of the loan for Jen’s car is $2,000 less than twice the amount of the loan for David’s car. Call the amount that Jen owes j and the amount that David owes d.
General
5 months ago
Solve for the indicated variable. Include all of your work in your answer. Submit your solution.A=h/2(a=b);solve for h
General
5 months ago
A line segment BK is an angle bisector of ΔABC. A line KM intersects side BC such, that BM = MK. Prove: KM ∥ AB.
General
5 months ago
The youth group is going on a trip to the state fair. The trip costs $52. Included in that price in $11 for a concert ticket and the cost of 2 passes, one for the rides and one for the game booths. Each of the passes cost the same price. Write an equation representing the cost of the trip and determine the price of one pass.Show your explanation please.
General
5 months ago
The senior class bought 9 yards of banner material for their float. if each of their banners takes 3/8 of a yard, how many banners can they make?
General
5 months ago
Mary runs 5 miles a day. two-thirds of this distance is through the woods. how many miles was Mary in the woods on her run?
General
5 months ago
What is the factored form of 16x^2-16x-12
General
5 months ago
your soccer team wants to buy t-shirts. you call two different companies about prices.company a has a 50$ fee to set up the logo, and it is $15 price per T-shirtcompany B charges 95 dollars for the logo setup and charges 12 per t-shirtA few players decide not to get t-shirts. which company has a lower cost?
General
5 months ago
11. A collection of nickels and dimes is worth $9.45. If the number of dimes is doubled, the value is$16.65. Find the number of each coin.
General
5 months ago
The atmospheric pressure P on a balloon or in aircraft decreases with increasing height . This pressure measured in Millimeters of mercury , is related to the height H (in kilometers) above sea level by the formula p=760e ^ -0.145h. See photo for formula and answer following questions.A.) find the height of an aircraft if the atmospheric pressure is 344 millimeters of Mercury. (Round to two decimal places)B.) find the height of a mountain if the atmospheric pressure is 622 millimeters of mercury.(Round to two decimal places)
General
5 months ago
Adecco Workplace Insights Survey sampled men and women workers and asked if they expected to get a raise or promotion this year (USA Today, February 16, 2012). Suppose the survey sampled 200 men and 200 women. If 104 of the men replied yes and 74 of the women replied yes, are the results statistically significant in that you can conclude a greater proportion of men are expecting to get a raise or a promotion this year? a. State the hypothesis test in terms of the population proportion of men and the population proportion of women? b. What is the sample proportion for men? Round your answer to two decimal places. What is the sample proportion for women? Round your answer to two decimal places.c. Use a .01 level of significance. What is the p-value? Round your answer to four decimal places.
General
5 months ago
A university is conducting a survey in order to estimate the results of an upcoming local election. They intend to take a simple random sample of individuals from the population of eligible voters. Each selected individual will be asked whether they will vote for Candidate A, yes or no. The university intends to use the results to create a 95% CI for the population proportion of voters who will vote for Candidate A. They desire the interval to have a half-width of no more than 0.03. How many individuals must they sample? (Hint: the half-width of a CI for a population proportion is maximized when the sample proportion is set to p = 0.5.)
General
5 months ago
Which expression gives the area of the triangle shown below?O A (1/2z) (1/2w)O B. 1/2zwO c. (1/2x) (1/2y)O D. 1/2 xy
General
5 months ago
Fairfield Homes is developing two parcels near Pigeon Fork, Tennessee. In order to test different advertising approaches, it uses different media to reach potential buyers. The mean annual family income for 13 people making inquiries at the first development is $151,000, with a standard deviation of $41,000. A corresponding sample of 28 people at the second development had a mean of $183,000, with a standard deviation of $28,000. Assume the population standard deviations are the same.1. State the decision rule for .10 significance level: H0: μ1 = μ2; H1:μ1 ≠ μ2. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
General
5 months ago
Find the radius and height of a cylindrical soda can with a volume of 256cm^3 that minimize the surface area.B: Compare your answer in part A to a real soda can, which has a volume of 256cm^3, a radius of 2.8 cm, and a height of 10.7 cm, to conclude that real soda cans do not seem to have an optimal design. Then use the fact that real soda cans have a double thickness in their top and bottom surfaces to find the radius and height that minimizes the surface area of a real can (the surface area of the top and bottom are now twice their values in part A.B: New radius=?New height=?
General
5 months ago
4th time posting this...........
General
5 months ago
Suppose that the prevalence of a certain type of tree allergy is 0.26 in the general population. If 100 people randomly chosen from this population are tested for this allergy, what is the probability that exactly 26 of them will have this allergy? Please write your answer as a decimal, precise to at least four decimal places.
General
5 months ago
Some electronic devices are better used than new. The failure rate is higher when they are new than when they are six months old. For example, half of the personal music players sold by a particular brand have a flaw. If the player has the flaw, it dies in the first six months. If it does not have this flaw, then only 20% fail in the first six months. Yours dies after you had it for three months. What are the chances that it has this flaw? The probability that it has the flaw is ________?
General
5 months ago
Suppose you roll a fair six-sided die. Then you roll a fair eight-sided die. Match each probability to its correct value. A) the probability that both numbers are odd numbers and their product is greater than 10 B) the probability that the second number is twice the first number C) the probability of getting numbers whose sum is a multiple of 4 D) the probability that the sum of the two numbers is greater than 11 E) the probability that the second number rolled is less than the first number 5/16 arrowRight 1/8 arrowRight 1/12 arrowRight 1/4 arrowRight 5/48 arrowRight
General
5 months ago
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