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balandron [24]
3 years ago
14

20% of all trucks undergoing a certain inspection will fail the inspection. Assume that 40 trucks are independently undergoing t

his inspection, one at a time. The expected number of trucks who fail the inspection is:
Mathematics
2 answers:
Ulleksa [173]3 years ago
6 0
I need help with this too... 
Help :(
olga2289 [7]3 years ago
3 0
20% of 40 = 8
So 8 trucks are expected to fail the inspection.
Hope it helps!
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========================================================

Explanation:

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The stuff under the square root must be 0 or larger.

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Visual confirmation is shown below. I used Desmos which is a free graphing app.

  • f(x) = sqrt(x+2) is in red
  • g(x) = sqrt(5-x) is in blue
  • h(x) = f(x)/g(x) is in green

The green curve is what we're after. It's between x = -2 and x = 5

We include -2, but exclude 5.

Take note of the closed endpoint at x = -2, and also the vertical asymptote at x = 5. The curve approaches this asymptote but never actually touches it. Think of an electric fence you can get closer to, but not actually touch.

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