Find the expected value.A new light bulb has been found to have a 0.02 probability of being defective. A shop owner receives 500 bulbs of this kind. How many of these bulbs are expected to be defective?

A. 20
B. 100
C. 10
D. 500


Answer: C

Mathematics

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Find the vertex, focus, and directrix of the parabola with the given equation.y2 - 6y - 8x + 57 = 0

A. vertex: (6, 3) focus: (8, 3) directrix: x = 4 B. vertex: (3, 6) focus: (3, 8) directrix: y = 4 C. vertex: (6, 3) focus: (4, 3) directrix: x = 8 D. vertex: (3, 6) focus: (3, 4) directrix: y = 8

Mathematics

Find the volume of the geometric solid. If needed, use 3.14 as an approximation for ? and round the answer to the nearest tenth.Rectangular prism: l = 8 ft, w = 5 ft, h = 3 ft

A. 45 ft3 B. 200 ft3 C. 120 ft3 D. 192 ft3

Mathematics

Solve the problem.A new car was purchased for $14,400, and 3 years later it was worth $8700. Assume that the depreciation in value is given by a linear equation. Find the value of the car at the end of 4 years.

A. $5700 B. $12,500 C. $6800 D. $18,200

Mathematics

Solve quadratic equation by factoring.5(5x2 - 8x) = -12

A.
B. 2, 6
C. - , - 
D. No real solutions

Mathematics