How to find an angle of a triangle with one missing side

1 answer:

4 0

If you have the two other angle measures:
You can add the angles together and subtract them from 180.
Example:
Angle 1: 90
Angle 2: 45
Angle 3: ?
90 + 45 = 135
180 - 135 = 45
Angle 3 is 45 degrees.
This is because all three angles of a triangle need to be equal to 180 when added up.

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In a population of 210 women, the heights of the women are normally distributed with a mean of 64.4 inches and a standard deviat

antoniya [11.8K]

Part A:

Given that i<span>n a population of 210 women, the heights of the women are normally distributed with a mean of 64.4 inches and a standard deviation of 2.9 inches.

If 36 women are selected at random, the mean of the sample is estimated by the mean of the population.

Thefore, the mean is given by: $\mu_{\bar{x}}=64.4 \ inches$

Part B:

The standard deviation using the finite population factor is given by:

$\sigma_{\bar{x}}= \frac{\sigma}{\sqrt{n}} \cdot \sqrt{\frac{N-n}{N-1} } \\ \\ = \frac{2.9}{\sqrt{36}} \cdot \sqrt{\frac{210-36}{210-1} } =\frac{2.9}{6} \cdot \sqrt{\frac{174}{209} } \\ \\ =0.4833(\sqrt{0.8325}) =0.4833(0.9124) \\ \\ =0.44$ </span>