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Rzqust [24]
2 years ago
8

PLEASE HELP ITS DUE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
tia_tia [17]2 years ago
3 0

Answer:

Angle 3 = 103

Angle 4 = 77

Step-by-step explanation:

A)

The sum of interior angles in a triangle is equal to 180 so to find angle 3:

180 - (52+25) = 103

B)

Angle 3 and angle 4 are supplementary so the measure of angle 4:

180 - 103 = 77

C)

Angle 1 and angle 2 and angle 3 are the interior angles of the triangle and their sum is 180 so is the sum of angle 3 and angle 4

D)

<u><em>The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle so the sum of angle 1 and angle 2 is equal to angle 4</em></u>

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Answer:

0.0721 = 7.21% probability that the mean height for the sample is greater than 65 inches.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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Z = \frac{X - \mu}{\sigma}

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For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

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This means that \mu = 64.4, \sigma = 2.91

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This means that n = 50, s = \frac{2.91}{\sqrt{50}}

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Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{65 - 64.4}{\frac{2.91}{\sqrt{50}}}

Z = 1.46

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1 - 0.9279 = 0.0721

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