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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Solve by completing the square. Give exact solutions. Simplify radicals and reduce.x2 = 9 - 4x

A. -2 ± 1
B. -2 ± 
C. 2 + 
D. -1 ± 

Mathematics

Solve the problem.For approximately what values of x can sin x be replaced by  with an error of magnitude no greater than ?

A. |x| < 0.65439 B. |x| < 0.58857 C. |x| < 0.90288 D. |x| < 0.88011

Mathematics

Solve the variation problem.If the voltage, V, in an electric circuit is held constant, the current, I, is inversely proportional to the resistance, R. If the current is 240 milliamperes when the resistance is 3 ohms, find the current when the resistance is 18 ohms.

A. 1434 milliamperes B. 120 milliamperes C. 1440 milliamperes D. 40 milliamperes

Mathematics

Simplify, where possible.2a - 6b + 4c - 2(6a + 8b - 7c)

A. -10a - 14b + 11c B. -10a + 10b - 10c C. -4a + 2b - 3c D. -10a - 22b + 18c

Mathematics