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Yuki888 [10]
3 years ago
11

PLEASE HELP !! ILL GIVE BRAINLIEST !!

Mathematics
1 answer:
bearhunter [10]3 years ago
7 0

Answer:

  (a)  ∠HIK and ∠GFD

Step-by-step explanation:

In this geometry, there are only two pairs of alternate exterior angles:

  ∠HIK and ∠GFD

  ∠JIK and ∠EFD

Of these, only the first pair is among the answer choices.

__

Alternate exterior angles are ones that are outside the parallel lines, and on opposite sides of the transversal.

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A researcher surveyed 150 high school students and found that 68% played a musical insturment. What would be a reasonable range
maria [59]

Answer:

The reasonable range for the population mean is (61%, 75%).

Step-by-step explanation:

The interval estimate of a population parameter is an interval of values that consist of the values within which the true value of the parameter lies with a certain probability.

The mean of the sampling distribution of sample proportion is, \hat p.

One of the best interval estimate of population proportion is the 95% confidence interval for proportion,

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

Given:

n = 150

\hat p = 0.68

The critical value of <em>z</em> for 95% confidence level is:

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

Compute the 95% confidence interval for proportion as follows:

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

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5 0
3 years ago
13, 5, 4, 9, 7, 14, 4 The deviations are _____.
fenix001 [56]

Answer:

B."5, -3, -4, 1, -1, 6, -4"

Step-by-step explanation:

We are given that

13,5,4,9,7,14,4

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Mean=\frac{sum\;of\;data}{total\;number\;of\;data}

Using the formula

Mean,\mu=\frac{13+5+4+9+7+14+4}{7}

Mean,\mu=\frac{56}{7}=8

Deviation=x_i-\mu

         x_i-\mu

13          5

5           -3

4           - 4

9            1

7             -1

14            6

4            - 4

Hence, option  B is correct.

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3 years ago
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Answer:

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Step-by-step explanation:

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<h3>V = a³</h3>

We have <em>a </em>=<em> </em>9 . Substitute:

<h3>V = 9³ = 9 · 9 · 9 = 729</h3>
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3 years ago
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