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Likurg_2 [28]
3 years ago
15

What is the measure of ∠HFG? (See attachment)

Mathematics
1 answer:
madam [21]3 years ago
7 0
92 degrees

Triangle= 180 degrees
180-60-28= 92

:)
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Please help! I do not understand!
castortr0y [4]

Answer:

There are 31 polygons in total used to make the tessellation and the ones that make number 17 up are:

Pentagons, triangles, and hexagons.

The ones that make up number 18 are:

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Step-by-step explanation:

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A number increased by 3 is 19
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The number would be 16.

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In the past, 19% of all homes with a stay-at-home parent had the father as the stay-at-home parent. An independent research firm
Oksi-84 [34.3K]

Answer:

A sample size of 657 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

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The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

In the past, 19% of all homes with a stay-at-home parent had the father as the stay-at-home parent.

This means that \pi = 0.19

(a) What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.03?

A sample size of n is needed.

n is found when M = 0.03

Then

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.96\sqrt{\frac{0.19*0.81}{n}}

0.03\sqrt{n} = 1.96\sqrt{0.19*0.81}

\sqrt{n} = \frac{1.96\sqrt{0.19*0.81}}{0.03}

(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.19*0.81}}{0.03})^{2}

n = 656.91

Rounding up to the nearest whole number.

A sample size of 657 is needed.

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3 years ago
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Jet001 [13]
9+2h-16-7+2h = -2(7-2h)
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A reflection followed by a translation

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