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4 years ago

3|x+5|=7 Please answer as soon as possible

Mathematics

1 answer:

svet-max [94.6K]4 years ago

3 0

Answer:

The | signs are absolute value signs. Absolute value just makes a negative value turn positive, because technically there is no negative value. For example |-x+5| turns into x+5. If it's already positive, it stays the same. So basically, they're just acting as parenthesis right now. Just distribute the 3 and get 3x+15=7. subtract 17 and get 3x=-8. Divide both sides by three, and you should get x= -8/3. But wait, there's more. Since this is an absolute value equation, there should be more than one answer. Simply make the number on the other side negative. 3x+15=-7. subtract 15 and get -22. Keep going and your answer should be -22/3.

So in conclusion, your two answers are -8/3 and -22/3.

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Step-by-step explanation:

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Calculate the P-value for the given scenario. Use 4 decimal places.:

kvv77 [185]

Answer:

The p-value is 0.1867.

Step-by-step explanation:

Employees at a construction and mining company claim that the mean salary of the company's mechanical engineers is less than that of the one of its competitors, which is $68,000.

At the null hypothesis we test that the salary is the same of the competitor, that is:

$H_0: \mu = 68000$

At the alternate hypothesis, we test that it is more than 68000. So

$H_a: \mu > 68000$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

68000 is tested at the null hypothesis:

This means that $\mu = 68000$

A random sample of 20 of the company's mechanical engineers has a mean salary of $66,900. Assume the population standard deviation is $5500.

This means that $n = 20, X = 66900, \sigma = 5500$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{66900 - 68000}{\frac{5500}{\sqrt{20}}}$

$z = -0.89$

P-value:

The pvalue is the probability of finding a sample mean below 66900, which is the pvalue of z = -0.89.

Looking at the z-table, z = -0.89 has a pvalue of 0.1867.

The p-value is 0.1867.

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3 years ago

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katrin2010 [14]

$\dfrac{n^2+3n+2}{n^2+6n+8}-\dfrac{2n}{n+4}\\\\=\dfrac{n^2+2n+n+2}{n^2+4n+2n+8}-\dfrac{2n}{n+4}\\\\=\dfrac{n(n+2)+1(n+2)}{n(n+4)+2(n+4)}-\dfrac{2n}{n+4}\\\\=\dfrac{(n+2)(n+1)}{(n+2)(n+4)}-\dfrac{2n}{n+4}\\\\=\dfrac{n+1}{n+4}-\dfrac{2n}{n+4}=\dfrac{n+1-2n}{n+4}=\dfrac{1-n}{n+4}$

$Answer:\ \boxed{B.\ \dfrac{1-n}{n+4}}$

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