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irina1246 [14]
2 years ago
6

I need helping solving this

Mathematics
1 answer:
olchik [2.2K]2 years ago
8 0

Answer: x= 5

Step-by-step explanation:

Plug the second equation into the first equation’s y.
3x-2(-2x+7)=21

Then use distribution

3x+4x-14=21

Add 4x and 3x

7x-14=21

Then add 14 to both sides

7x=35

Divide by 7 to get x

35/7=5

x=5

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valentinak56 [21]

Answer:

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Step-by-step explanation:

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3 years ago
The standard deviation for actuary salaries has a standard deviation of $36,730 . You collect a simple random sample of n=36 sal
Yanka [14]

Using the z-distribution, it is found that the lower limit of the 95% confidence interval is of $99,002.

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

The confidence interval is:

\overline{x} \pm 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.

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

The other parameters are given as follows:

\overline{x} = 111000, \sigma = 36730, n = 36

Hence, the lower bound of the interval is:

\overline{x} - z\frac{\sigma}{\sqrt{n}} = 111000 - 1.96\frac{36730}{\sqrt{36}} = 99002

The lower limit of the 95% confidence interval is of $99,002.

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

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2 years ago
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mario62 [17]

Answer:

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Step-by-step explanation:

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24/2 = 12

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Step-by-step explanation:

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