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3 years ago

An angle measures 102° less than the measure of a supplementary angle. what is the measure of each angle?

2 answers:

kramer3 years ago

7 0

A supplementary angle is equal to two angles that sum is 180.so less is a key word which means to subtract in this case so 180-102 = 78°

maksim [4K]3 years ago

5 0

The angle measures 78 as 180-102 is 78 (180 is the degree of a supplementary angle)

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2 years ago

A Right Cylinder has a radius of 3 cm and a height of 5 cm.

Shtirlitz [24]

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V = 141.37 cm³

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Step-by-step explanation:

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2 years ago

construct a 90% confidence interval of the population proportion using the giver information x=74 n=150

FrozenT [24]

Answer:

The 90% confidence interval of the population proportion is (0.43, 0.56).

Step-by-step explanation:

The (1 - α)% confidence interval for population proportion p is:

$CI=\hat p\pm z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}$

The information provided is:

X = 74

n = 150

Confidence level = 90%

Compute the value of sample proportion as follows:

$\hat p=\frac{X}{n}=\frac{74}{150}=0.493$

Compute the critical value of z for 90% confidence level as follows:

$z_{\alpha/2}=z_{0.10/2}=z_{0.05}=1.645$

*Use a z-table.

Compute the 90% confidence interval of the population proportion as follows:

$CI=\hat p\pm z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}$

$=0.493\pm 1.645\times \sqrt{\frac{0.493(1-0.493)}{150}}\\\\=0.493\pm 0.0672\\\\=(0.4258,\ 0.5602)\\\\\approx (0.43,\ 0.56)$

Thus, the 90% confidence interval of the population proportion is (0.43, 0.56).

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3 years ago