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Answer:
A. f^-1(x) = x³ -12
Step-by-step explanation:
The inverse function can be found by solving ...
x = f(y)
x = ∛(y +12) . . . . . use the definition of f(x)
x³ = y +12 . . . . . . . cube both sides to eliminate the radical
x³ -12 = y . . . . . . . add -12 to isolate the y-variable
f^-1(x) = x³ -12 . . . matches choice A
The probability that exactly 6 are defective is 0.0792.
Given:
30% of the bulbs in a large box are defective.
If 12 bulbs are selected randomly from the box.
To find:
The probability that exactly 6 are defective.
Solution:
Probability of defective bulbs is:
Probability of non-defective bulbs is:
The probability that exactly 6 are defective is:
Therefore, the probability that exactly 6 are defective is 0.0792.
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