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MATH SOLVE
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General
Over the past several years, the owner of a boutique on Aspen Avenue has observed a pattern in the amount of revenue for the store. The revenue reaches a maximum of about $ 42000 in April and a minimum of about $ 25000 in October. Suppose the months are numbered 1 through 12, and write a function of the form f(x)=Asin(B[x-C])+D that models the boutique's revenue during the year, where corresponds to the month.
General
4 months ago
This year Zach was injured in an auto accident. As a result, he received the following payments. Zach received $18,000 of disability pay. Zach has disability insurance provided by his employer as a nontaxable fringe benefit. Zach's employer paid $4,300 in disability premiums for Zach this year. Zach's hospital bills totaled $4,500 and were paid by his health insurance. Zach has health insurance provided by his employer as a nontaxable fringe benefit. Zach's employer paid $6,250 in health insurance premiums for Zach this year. What amount must Zach include in his gross income?
General
4 months ago
A service station has a pump that distributes diesel fuel to automobiles. The station owner estimates that only about 3.2 cars use the diesel pump every 2 hours. Assume the arrivals of diesel pump users are Poisson distributed.a. What is the probability that three cars will arrive to use the diesel pump during a 1-hour period?b. Suppose the owner needs to shut down the diesel pump for half an hour to make repairs. However, the owner hates to lose any business. What is the probability that no cars will arrive to use the diesel pump during a half-hour period?c. Suppose five cars arrive during a 1-hour period to use the diesel pump. What is the probability of five or more cars arriving during a 1-hour period to use the diesel pump?
General
4 months ago
David didn’t study for his introduction to logic exam consisting of 15 true-false questions. He did blind guessing on each question. a. If he needs to score 10 or more correct to pass, what is the probability that he will fail the exam? b. Find the probability that he answers 6 to 11 (inclusive) questions correctly.
General
4 months ago
A gum ball machine is in the shape of a sphere with a radius of 6 inches. A store manager wants to fill up the machine with jumbo gum balls, which have a radius of 0.6 inches. How many jumbo gumballs will fit in the machine?
General
4 months ago
An order is represented for 10 mg medication. On hand are vials containing 20 mg/mL. How many milliliters must you dispense to the patient?
General
4 months ago
While on vacation in Mexico Jeremiah reads a distance marker that indicates he is 89 kilometers from Juárez.If 1mile is approximately 1.61 kilometers how far is Jeremiah from Juárez
General
4 months ago
Amy works in a shop. Her annual gross salary is $25,000. From this, she must pay social security (calculated as 12% of her gross pay) plus 8% income tax. In addition to taxes, she must repay a loan to her employers at a rate of $125 per month, which comes out of her post tax income (i.E. Income after tax has been calculated). What is Amy's take home pay per annum? Give your answer in dollars to the nearest dollar.
General
4 months ago
You are going to run at a constant speed of 7.5 miles per hour for 45 minutes. You calculate the distance you will run. What mistake did you make in your calculation? [Use the formula S=d/t]
General
4 months ago
From a parllellogram having 14cm base and 15cm height a circle of radius 7cm out what is the area of the remaining portion
General
4 months ago
How much difference do a couple of weeks make for birth weight? Late-preterm babies are born with 34 to 36 completed weeks of gestation. The distribution of birth weights (in grams) for late-preterm babies is approximately N(2750, 560).1. What is the probability that a randomly chosen late-preterm baby would have a low birth weight (less than 2500 grams)? Round your answer to 4 decimal places.2. What is the probability that a randomly chosen late-preterm baby would have a very low birth weight (less than 1500 grams)? Round your answer to 4 decimal places.
General
4 months ago
the radius of the aluminum atom is 143pm. the radius of the aluminum atom is 54pm. by what percentage did the radius change as the ion formed?
General
4 months ago
Pizza is served in the school cafeteria every fourth school day. Tacos are served every third school day. Both Pisa and tacos were served today. In how many school days will pizza and tacos be served on the same day again?
General
4 months ago
There are 740 tickets purchased for a Major League Baseball game. The lower reserved tickets cost $9.50 and the upper reserve cost $8.00. The total amount of money was $6482.50. How many of each kind of ticket were purchased
General
4 months ago
a salesperson works 40 hours per week at a job where he has two options for getting paid. Option A is an hourly wage of $19. Option B is a commission rate of 8% on weekly sales. How much does he need to sell in a given week to earn the same amount with each option?
General
4 months ago
A box contains 3 coins. One coin has 2 heads and the other two are fair. A coin is chosen at random from the box and flipped. If the coin turns up heads, what is the probability that it is the two-headed coin? Is the answer 1/3? Was the answer intuitive?
General
4 months ago
Three years ago, the mean price of an existing single-family home was $243761. A real estate broker believes that existing home prices in her neighborhood are higher. (a) Determine the null and alternative hypotheses. (b) Explain what it would mean to make a Type I error. (c) Explain what it would mean to make a Type II error. (a) State the hypotheses.
General
4 months ago
What percent of 9 is 8.46
General
4 months ago
Two concentric spheres have radi of 5" and 6". Find the volume of the space between them.
General
4 months ago
Jada bought $53 worth of snacks. She used a 10% off coupon. She then paid 8% tax on the original amount. What is the total she paid after the discount and tax?
General
4 months ago
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