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Natali5045456 [20]
3 years ago
10

The measure of an exterior angle of a regular polygon is 72 degrees. Find the measure of an interior angle.

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
5 0
<span>Exterior angle of a polygon = 72 degrees Polygon has 5 sides. Interior angle = 180 (n-2) / n = 180 (5-2) / 5 = 108 degrees</span>
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Answer:

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Step-by-step explanation:

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Then,

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P(X>140) = 1 - P( \dfrac{X-\mu}{\sigma} \leq \dfrac{5}{12})

P(X>140) = 1 - P( Z\leq0.42)

From z tables,

P(X>140) = 1 - 0.6628

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Similarly, let consider Y to be the variable that follows a binomial distribution of the no of household whose expense is greater than $140

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Y \sim Binomial (np)

Y \sim Binomial (50,0.3372)

∴

P(Y ≥ 15) = 1- P(Y< 15)

P(Y ≥ 15) = 1 - ( P(Y=0) + P(Y=1) + P(Y=2) + ... + P(Y=14) )

P(Y \geq 15) = 1 - \begin {pmatrix} ^{50}_0 \end {pmatrix} (0.3372)^0 (1-0,3372)^{50} + \begin {pmatrix} ^{50}_1 \end {pmatrix} (0.3372)^1 (1-0,3372)^{49}  + \begin {pmatrix} ^{50}_2 \end {pmatrix} (0.3372)^2 (1-0,3372)^{48} +...  + \begin {pmatrix} ^{50}_{50{ \end {pmatrix} (0.3372)^{50} (1-0,3372)^{0}

P(Y ≥ 15) = 0.763

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(2+3=5)

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Answer:

a

Step-by-step explanation:

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3 years ago
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Answer:

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