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Alekssandra [29.7K]
3 years ago
15

A tree forms a right angle with the ground. If you place the base of a 12-foot ladder 3ft from the tree, how high up the tree wi

ll it reach?
Mathematics
1 answer:
Igoryamba3 years ago
7 0

Answer: 12.37ft

<h2 />

Step-by-step explanation:

The formula to find the missing side of a triangle is a^2 + b^2 = c^2

so all you have to do is put 3 and 12

3^2 + 12^2 = c^2

9 + 144 = c^2

153 = c^2

√153 = 12.37

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Construct a 99​% confidence interval to estimate the population proportion with a sample proportion equal to 0.36 and a sample s
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Using the z-distribution, the 99​% confidence interval to estimate the population proportion is: (0.2364, 0.4836).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

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In which:

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  • n is the sample size.

In this problem, we have a 99% confidence level, hence\alpha = 0.99, z is the value of Z that has a p-value of \frac{1+0.99}{2} = 0.995, so the critical value is z = 2.575.

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Then the bounds of the interval are:

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The 99​% confidence interval to estimate the population proportion is: (0.2364, 0.4836).

More can be learned about the z-distribution at brainly.com/question/25890103

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