Please help me with the answer!!!

What is the value of x which proves that the runways are parallel? What is the measure of the larger angle?

Semenov [28]

The answer is C) x = 25; 107 degrees

6 0

3 years ago

A research study investigated differences between male and female students. Based on the study results, we can assume the popula

garri49 [273]

Using the normal distribution and the central limit theorem, it is found that the interval that contains 99.44% of the sample means for male students is (3.4, 3.6).

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.

After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

In this problem:

The mean is of $\mu = 3.5$ .

The standard deviation is of $\sigma = 0.5$ .

Sample of 100, hence $n = 100, s = \frac{0.5}{\sqrt{100}} = 0.05$

The interval that contains 95.44% of the sample means for male students is between Z = -2 and Z = 2, as the subtraction of their p-values is 0.9544, hence:

Z = -2:

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$-2 = \frac{X - 3.5}{0.05}$

$X - 3.5 = -0.1$

$X = 3.4$

Z = 2:

$Z = \frac{X - \mu}{s}$

$2 = \frac{X - 3.5}{0.05}$

$X - 3.5 = 0.1$

$X = 3.6$

The interval that contains 99.44% of the sample means for male students is (3.4, 3.6).

You can learn more about the normal distribution and the central limit theorem at brainly.com/question/24663213

7 0

2 years ago

Convert 7.5 to a decimal

julsineya [31]

7.5 is already in decimal form.

3 0

3 years ago

In you own words what does the term American Dream mean to you?

ira [324]

Answer:

What the American dream means to me is freedom. By freedom I mean everyone has the rights that a American citizen has. But also not having everyone thing be about politics and have everything be about what’s best for the American people, but also a place where no one is judged for what they believe in, but instead have their beliefs glorified. That is what the *American Dream* Means to me.

*-This is all in my on words-*

(Hope this helps)

Yours Truely, TheAnimeCatUwU

4 0

3 years ago

Use the following work shown below to answer the following question.

zysi [14]

Answer:

$\frac{3 + \sqrt{3x} }{3 - x}$