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denis-greek [22]
2 years ago
15

What is the value of x in trapezoid ABCD? x=15 x=20 x=45 X=60

Mathematics
2 answers:
jek_recluse [69]2 years ago
7 0

Answer:

A. X = 15 is the correct answer.

Step-by-step explanation:

It's the only one that really makes sense.

Hope this helped :) :)

bearhunter [10]2 years ago
3 0

Answer:

15

Step-by-step explanation:

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B.

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Answer:

See steps below

Step-by-step explanation:

Let X be the random variable that measures the lifespan of a bulb.

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• What is probability that the red bulb will need to be replaced at the first inspection?

The probability that the bulb fails the first year is

\bf P(X\leq 12)=1-e^{-12/24}=1-e^{-0.5}=0.39347

• If the bulb is in good condition at the end of 18 months, what is the probability that the bulb will be in good condition at the end of 24 months?

Let A and B be the events,

A = “The bulb will last at least 24 months”

B = “The bulb will last at least 18 months”

We want to find P(A | B).

By definition P(A | B) = P(A∩B)P(B)

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\bf P(A | B) = P(B)P(B) = (P(B))^2

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Now the probability that exactly k bulbs need replacement is

\bf \binom{6}{k}(0.39347)^k(1-0.39347)^{6-k}

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<em>Probability that at least one of them needs replacement at the first inspection =  </em>

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