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The bill (parts and labor) for the repair of an automobile was $395. The cost for parts was $185. The cost of labor was $30 per hour. Let x represent the number of hours of labor. Write an equation that represents the total bill for the repair of the automobile.
Illustrate the positions of Jill and John at 3:00pm. (I calculated that Jill would be 90 miles away and John would be 75 miles away) Find the measure of the angle between their routes. I calculated this angle to be 65 degrees. Is this correct?
Trigonometric identities to find length of the guy wire.
During the last hour, a telemarketer dialed 20 numbers and reached 4 busy signals, 3 answering machines, and 13 people. Use this information to determine the empirical probability that the next call will be answered in person.
rancher has feet of fencing to enclose a rectangular corral with a dividing fence parallel to one side. What dimensions will produce the largest total area?
on Saturday a local hamburger shop sold a combined total of 364 hamburgers and cheeseburger. The number of cheeseburgers were sold were three times the numbers of hamburgers sold. How many hamburgers were sold on Saturday.
If x is an element of a group and x is of order n then the elements 1, x, x^2,...x^n-1 are distinct (don't know how to show this!). Let Y= Y here is a group show
Probability using Bayes theorem. An oil executive has determined that the probability that this oil field contains oil is 0.6. Before starting the drilling she decides to order a seismological test to see if there is oil in the ground.
Assume that the drawer contains 11 coins: 4 quarters, 2 dimes, and 5 nickels. One coin is randomly selected. What is the expected value of the coin selected (in cents)?
The demand function for a product is given by p= -0.01x^2 - 0.1x + 6 where p is unit price and x is the number in thousands.
a plane flies 400 miles with the wind and 320 miles against the wind in the same length of time. If the speed of the wind is 29 mph, what is the speed of the plane in still air?
Assuming independence and uniform distribution for these midpoints, find the probability that the line segments overlap. Show work.
An executive invests $24,000, some at 8% and some at 6% annual interest. If he receives an annual return of $1,800, how much is invested at each rate?
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