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Olegator [25]
3 years ago
8

Someone Please help me answer this question

Mathematics
1 answer:
natka813 [3]3 years ago
5 0

Answer:

∠ QRS = 43°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

4n - 9 + 5n - 18 + 90 = 180, that is

9n + 63 = 180 ( subtract 63 from both sides )

9n = 117 ( divide both sides by 9 )

n = 13

Thus

∠ QRS = 4n - 9 = 4(13) - 9 = 52 - 9 = 43°

∠ RSQ = 4n - 18 = 4(13) - 18 = 65 - 18 = 47°

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Likurg_2 [28]

For this problem, the most accurate is to use combinations


Because the order in which it was selected in the components does not matter to us, we use combinations

Then the combinations are nC_r = \frac{ n! }{r! (n-r)!}

n represents the amount of things you can choose and choose r from them


You need the probability that the 3 selected components at least one are defective.

That is the same as:

(1 - probability that no component of the selection is defective).

The probability that none of the 3 selected components are defective is:

P = \frac{_{117}C_3}{_{120}C_3}


Where _{117}C_3 is the number of ways to select 3 non-defective components from 117 non-defective components and _{120}C_3 is the number of ways to select 3 components from 120.

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P = \frac{260130}{280840} = 0.927


Finally, the probability that at least one of the selected components is defective is:


P = 1-0.927 = 0.0737

  P = 7.4%

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