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3 years ago

Which graph accurately indicates the region, shaded in green, that would determine the solution for

Mathematics

2 answers:

iragen [17]3 years ago

4 0

Answer:

2nd

Step-by-step explanation:

sweet [91]3 years ago

3 0

Answer:

Second graph

Step-by-step explanation:

Given inequality,

| x + 7 | - 2 ≥ 0

| x + 7 | ≥ 2

x + 7 ≥ ± 2

x ≥ -7 ± 2

⇒ x ≥ -7 + 2 or x ≥ -7 - 2

⇒ x ≥ -5 or x ≥ -9,

Thus, in the shaded region x ≥ -5 or x ≥ -9,

In the given graphs, the shaded region represents by green,

In the first graph, green line lies in the region -9 ≤ x ≤ -5

Thus, it can not be the graph of the given inequality,

In the second graph, green line lies in the region x ≥ -5 or x ≥ -9

Hence, second graph would be the answer.

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marshall27 [118]

Using the z-distribution, it is found that a sample of 171 should be selected.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm z\frac{\sigma}{\sqrt{n}}$

The margin of error is:

$M = z\frac{\sigma}{\sqrt{n}}$

In which:

$\overline{x}$ is the sample mean.

z is the critical value.

n is the sample size.

$\sigma$ is the standard deviation for the population.

For this problem, the parameters are:

$z = 1.96, \sigma = 40, M = 6$

Hence we solve for n to find the needed sample size.

$M = z\frac{\sigma}{\sqrt{n}}$

$6 = 1.96\frac{40}{\sqrt{n}}$

$6\sqrt{n} = 40 \times 1.96$

$\sqrt{n} = \frac{40 \times 1.96}{6}$

$(\sqrt{n})^2 = \left(\frac{40 \times 1.96}{6}\right)^2$

n = 170.7.

Rounding up, a sample of 171 should be selected.

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

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1 year ago

An art student wants to make a model of the classroom. The length of the classroom is 2.4 times its width. The length of the stu

Hitman42 [59]

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Answer:

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