Find k such that the function is a probability density function over the given interval. Then write the probability density function.f(x) = k; [-4, 5]
A. - ; f(x) = -
B. -4; f(x) = -4
C. 9; f(x) = 9
D. ; f(x) =
Answer: D
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The management of the UNICO department store has decided to enclose an 400ft2 area outside the building for displaying potted plants and flowers. One side will be formed by the external wall of the store, two sides will be constructed of pine boards, and the fourth side will be made of galvanized steel fencing material.
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If the pine board fencing costs $8/running foot and the steel fencing costs $2/running foot, determine the dimensions of the enclosure that can be erected at minimum cost.
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A.
B.
C. ?
D. ?
An airplane takes off from an airport at a bearing along AB, of N 13° E, and a second plane leaves the same airport at bearing N 30° W along AC .A third plane leaves the airport at S 87° W along AD .What is the measure of the angle between the first and second planes? Between the first and third planes? (Remember: The bearing of a line segment is the acute angle that the line segment makes with a north-south line.)
What will be an ideal response?
Solve by the method of your choice.x2 + y2 = 68(x - 9)2 + y2 = 113
A. {(2, 8), (2, -8), (-2, 8), (-2, -8)} B. {(8, 2), (8, -2), (-8, 2), (-8, -2)} C. {(8, 2), (8, -2)} D. {(2, 8), (2, -8)}
Evaluate the function.Find g(-8, 7) when g(x, y) = 8y2 - 6xy.
A. 728 B. 736 C. 848 D. 855