Solve the problem.The life (in years) of a certain species of whale is a random variable with probability density function defined by for x in [4, 9]. Find the mean life of this species of whale.

A. 6.4 years
B. 7.8 years
C. 8.1 years
D. 9.6 years


Answer: A

Mathematics

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State the domain and range in interval notation.f(x) = 11(x - 4)2 + 6

A. domain: [6, ?); range: (-?, ?) B. domain: (-?, 6]; range: (-?, ?) C. domain: (-?, ?); range: [6, ?) D. domain: (-?, ?); range: (-?, 6]

Mathematics

Solve the problem.The price of a necklace is $5.99. If the salesperson's rate of commission is 14%, how much commission is earned on the sale of the necklace? Round to the nearest cent.

A. $8.39 B. $0.84 C. $8.49 D. $0.85

Mathematics

Simplify.(-3p4q4r4)4

A. (-3)4p16q16r16  B. (-3)4p8q8r8 C. -12p8q8r8  D. (-3)16p16q16r16 

Mathematics

Write the standard form for a hyperbola centered at (h, k). Identify the center and the vertices.9x2 - 4y2 - 54x + 32y - 19 = 0

A. C(3, 4); V(3, 4 ± 2);  -  = 1
B. C(3, 4); Vertices: V1(2, 3 ± 3);  -  = 1
C. C(- 3, - 4); Vertices: V1(- 3 ± 3, - 4);  -  = 1
D. C(3, 4); V(3 ± 2, 4);  -  = 1

Mathematics