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stealth61 [152]
3 years ago
10

What is the value of x? o 3 o 6 o 10 o12

Mathematics
1 answer:
marin [14]3 years ago
8 0

Answer:

x = 6

Step-by-step explanation:

Sum of all the angles of a kite = 360

∠W + ∠Y + ∠V = 360

18x - 2 + 12x + 2  + 90 + 90 = 360          {Combine like terms}

18x + 12x  -2 + 2 + 90 +90  = 360

                  30x  + 180        = 360

                                30x    = 360 - 180

                                30x = 180

                                    x = 180/30

x = 6

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Using the binomial distribution, it is found that the variance of the number that pass inspection in one day is 5.7.

For each component, there are only two possible outcomes, either it passes inspection, or it does not. The probability of a component passing inspections is independent of any other component, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

Probability of <u>exactly x successes on n repeated trials, with p probability</u>, and has variance given by:

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In this problem:

  • 95% pass final inspection, hence p = 0.95
  • 120 components are inspected in one day, hence n = 120.

The variance is given by:

V(X) = np(1 - p) = 120(0.95)(0.05) = 5.7

The variance of the number that pass inspection in one day is 5.7.

To learn more about the binomial distribution, you can take a look at brainly.com/question/24863377

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