What is the slope of the line that passes through the pair of points? (1, 7), (10, 1) Question 19 options: 2/3 -2/3 3/2 -3/2

1 answer:

8 0

Slope is defined simply as delta y over delta x or the change in y over the change of x. We need to decided what points is going to be the start or the end. Typically, the point farther to the right of the graph is considered the end point.

Start: (1, 7)

End: (10, 1)

$m = \frac{1 - 7}{10 - 1} \\\\\\m = \frac{-6}{9} \\\\\\m = \frac{-2}{3}$

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Suppose the claim size of an auto collision insurance, X, is uniformly distributed on the interval $1,000 to $10,000. What is th

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Answer:

35.35%

Step-by-step explanation:

If there were no deductibles, the expected claim payment would be:

$E(X) = \frac{10,000 +1,000}{2} \\E(X) =\$5,500$

If the collision insurance claim is under $2,000, then the insurer would not pay anything, but if X > $2,000, then the insurer would pay X - $2,000. The new expected value is:

$E_2(X)=\frac{2,000-1,000}{10,000-1,000} *0+\frac{10,000-2,000}{10,000-1,000}*\frac{(2,000-2,000)+(10,000-2,000)}{2} \\E_2(X)=\frac{8}{9}*\frac{0+8,000}{2}\\ E_2(X)=\$3,555.56$