What is the answer to |-5-3|-|12-8|=?

A regular octagon has side lengths of 9 units. Each side of the octagon is

nirvana33 [79]

Answer:

The perimeter of the original octagon is:

72 units.

The perimeter of the new octagon is:

288 units.

Step-by-step explanation:

When it is mentioned that an octagon is regular, it means that all its sides are equal, therefore, each side of the original octagon has a length of 9 units, considering the formula of the octagon's perimeter:

Perimeter of an octagon = 8 * length.

By replacing you get:

Perimeter of the original octagon = 8 * 9 = 72 units.

For the new octagon, it is mentioned that each side increases by 27 units, therefore:

New length = 27 + 9 = 36 units.

Applying the formula of perimeter of an octagon with the new values we obtain:

Perimeter of the new octagon = 8 * 36 = 288 units.

3 0

3 years ago

A recent survey of 50 executives who were laid off during a recent recession revealed it took a mean of 26 weeks for them to fin

drek231 [11]

Answer:

The pvalue of 0.0113 < 0.05 means that there is sufficient evidence to conclude that the mean time to find another position is less than 28 weeks at the 5% level of significance

Step-by-step explanation:

The null hypothesis is:

$H_{0} = 28$

The alternate hypotesis is:

$H_{1} < 28$

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.

A recent survey of 50 executives who were laid off during a recent recession revealed it took a mean of 26 weeks for them to find another position.

This means that $n = 50, X = 26$

Assume the population standard deviation is 6.2 weeks.

This means that $\sigma = 6.2$

Does the data provide sufficient evidence to conclude that the mean time to find another position is less than 28 weeks at the 5% level of significance

We have to find the pvalue of Z, looking at the z-table, when $\mu = 28$ . It if is lower than 0.05, it provides evidence.

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

$z = \frac{26 - 28}{\frac{6.2}{\sqrt{50}}}$

$z = -2.28$

$z = -2.28$ has a pvalue of 0.0113 < 0.05.

The pvalue of 0.0113 < 0.05 means that there is sufficient evidence to conclude that the mean time to find another position is less than 28 weeks at the 5% level of significance

5 0

2 years ago

If f(x) = 9x – 8, which of the following is the inverse of f(x)?

zheka24 [161]

Answer: $f^{-1}$ (x) = $\frac{x+8}{9}$