Find the value of the constant k so that the function is a probability density function in the indicated interval.
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What will be an ideal response?



Mathematics

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Determine the indicated function.A rectangular garden is to be surrounded on three sides by a fence costing $5 per foot and on one side by a stone wall costing $20 per foot. Let x be the length of the side with the stone wall, and let y be the length of each of the other three sides. Express the cost C of enclosing the garden as a function of the length and width.

A. C(x, y) = 20x - 15y B. C(x, y) = (20x)(15y) C. C(x, y) = 15x + 20y D. C(x, y) = 20x + 15y

Mathematics

Perform the indicated operation.

A. 86 B. 85 C. 8.5 D. 74

Mathematics

Evaluate.(23)log8 9

A. 9 B. 512 C. 27 D. 18

Mathematics

Solve the equation.x(x - 4) = 21

A. {3, 7} B. {3, -7} C. {-3, 7} D. {-3, -7}

Mathematics