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The lifetime of an automatic transmission produced by the BW Company is normally distributed with a mean of 100,000 miles and a standard deviation of 20,000 miles.
a. What is the probability that the transmission will have a lifetime of at least 120,000 miles?
b. What is the probability that the transmission will have a lifetime of at least 60,000 miles?
c. What is the probability that the transmission will have a lifetime between 75,000 and 130,000 miles?
d. How many lifetime miles should BW guarantee if the company desires 97 percent of its transmissions to meet the guarantee?
A boat traveled 285.6 miles downstream and back. The trip downstream took 10.2 hours. The trip back took 34 hours. What is the speed of the boat in still water? What is the speed of the current?
A baseball team plays in a stadium that holds 59000 spectators. With ticket prices at $10, the average attendance had been 5000. When ticket prices were lowered to $8, the average attendance rose to 15000.
Place the following set of numbers in ascending order. Determine the maximum and minimum values of the following set of numbers. 36/7,-1,-2/3,-5,26/9
What is the value of the coefficient of determination for this regression model? Comment on the strength of the regression line for this model.
An open box is to be made from a square piece of sheet metal, 20 inches on a side, by cutting out squares of equal size from the four corners and bending up the sides. Find the maximum volume that the box can have.
a certain radioactive isotope has a half life of approximately 1050 years. How many years will required for a given of the isotope to decay to 75% of that amount?
Find the velocity and position vectors of a particle that has the given acceleration and the given inital velocity and positions.
Madilyn does homework at the same pace for 4 hours. Which graph best illustrates the speed at which Madilyn completes her homework?
Mr Tan wanted to sell his lamp. If he sell it at a discount of 10%, he will make a profit of $215. If he sell it at a discount of 20%, he will loss $170. How much was his original selling price.
The following pairs of functions, graph each one together in Desmos, show on your graph and find the area between them bounded by the given values of x.
With the definition that pi is the area of the unit circle, explain why pi equals 8 times the integral from 0 to 1/sqrt(2) of (sqrt(1 - x^2) - x) dx. use the Romberg algorithm to approximate the integral.
Determine the digits corresponding to each letter. Digits may not be used for more than one letter. What problem solving strategy did you use in solving this problem? DAN+NAN=NORA
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