The probability density function of X is f (x) = x2 9 over [0, 3] . Compute each of the following.

(a) E ( X )
(b) SD(X )


(a) 9 /4

(b)

Mathematics

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Add or subtract. Simplify radicals where necessary.2 - 9 - 8

A. 14
B. -50
C. 2
D. -14

Mathematics

Solve the problem. Suppose a student plans to drive from his home to New Haven 75 miles on a divided highway and 30 miles on an undivided highway. The speed limit is 70 mph on the divided highway and 50 mph on the undivided highway. Assume the driver drives nonstop. Let T(a) represent the driving time (in hours) if the student drives at a mph above the speed limits. Find T(0). What does your result mean in terms of the trip?

A. 1.45; If the student drives at the speed limits the trip will take 1.45 hours. B. 1.67; If the student drives at the speed limits the trip will take 1.67 hours. C. 1.45; If the student drives at 1.45 mph above the speed limits, the trip will take 1.45 hours. D. 1.67; If the student drives at 1.67 mph above the speed limits, the trip will take 1.67 hours.

Mathematics

Use the formula A = P(1 + rt) to find the indicated quantity.Allan borrowed $5500 from his father to buy a car. He repaid him after 8 months with interest of 7% per year. Find the total amount he repaid.

A. $5724.58 B. $5885.00 C. $256.67 D. $5756.67

Mathematics

y?? + 25y = 25 3

What will be an ideal response?

Mathematics