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3 years ago

What is the x and y intercept of 18x-3y=15

Mathematics

1 answer:

Anastaziya [24]3 years ago

3 0

Answer:

18(0) -3y = 15

-3y=15

now divide-3 from both sides

y= 15/-3

reduced is -5

y int = (0,-5)

18x-3(0)=15

18x=15

divide the 18 from both sides

x=15/18

reduced is 5/6

x int = 5/6

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$\frac{y_{2}- y_{1} }{x_{2} -x_{1} }$

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The standard deviation for actuary salaries has a standard deviation of $36,730 . You collect a simple random sample of n=36 sal

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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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