Let X and Y be random variables with . Find the means and variances of the following quantities.

a. X+Y
b. X–Y
c. 3X+2Y
d. 5Y – 2X


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What is the primary function of a compressor?

A) Regulate the pressure of gases for use in a facility B) Increase the pressure of gases for use in a facility C) Decrease the pressure of gases for use in a facility D) Expand gases for use in a facility

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Five specimens of untreated wastewater produced at a gas field had an average benzene concentration of 6.83 mg/L with a standard deviation of 1.72 mg/L. Seven specimens of treated wastewater had an average benzene concentration of 3.32 mg/L with a standard deviation of 1.17 mg/L. Find a 95% confidence interval for the reduction in benzene concentration after treatment.

What will be an ideal response?

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Imagine the company that you work for borrows $12,000,000 at 8% interest, and the loan is to be paid in seven years according to the schedule shown. Determine the amount of the last payment.

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The Escape and Mariner's 4WD system uses a transfer case, rear driveshaft, and a ____ assembly.

A. front axle B. full axle C. dual axle D. rear axle

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