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3 years ago

Help needed: Solve for x. Round to the nearest tenth, if necessary.

Mathematics

1 answer:

Nookie1986 [14]3 years ago

7 0

Answer:

x = 24.1

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle θ = 15°

Adjacent = 90

Opposite = x =?

The value of x can be obtained by using Tan ratio as shown below:

Tan θ = Opposite / Adjacent

Tan 15 = x / 90

Cross multiply

x = 90 × Tan 15

x = 24.1

Therefore, the value of x is 24.1

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3 years ago

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3 years ago

Construct a 99% confidence interval to estimate the population proportion with a sample proportion equal to 0.36 and a sample s

vivado [14]

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:

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

In which:

$\pi$ is the sample proportion.

z is the critical value.

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.

The estimate and the sample size are given by:

$\pi = 0.36, n = 100$ .

Then the bounds of the interval are:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 - 2.575\sqrt{\frac{0.36(0.64)}{100}} = 0.2364$

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 + 2.575\sqrt{\frac{0.36(0.64)}{100}} = 0.4836$

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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2 years ago

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Viefleur [7K]

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4 years ago

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To convert 2x + y = 10 to slope intercept form, solve for y.
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3 years ago