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leva [86]
2 years ago
11

Identify the equations as parallel lines, perpendicular lines, or neither.

Mathematics
2 answers:
sdas [7]2 years ago
7 0

perpendicular that’s what I think :)
IrinaVladis [17]2 years ago
5 0
It is Perpendicular
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The CEO of a large electric utility company claims that 80 percent of his 1,000,000 customers are very satisfied with the servic
Oksana_A [137]

Answer:

Conclusion: The proportion of customers satisfied with the service they receive from the large electric utility company is different from 80%, the claim made by the CEO.

Step-by-step explanation:

To test the claim made by the CEO of a large electric utility company the newspaper must conduct a hypothesis test for one proportion.

<u>Assumption</u>:

The significance level (<em>α</em>) of the test can be assumed to be 5%.

<u>Hypothesis</u>:

H_{0}: The proportion of customers satisfied with the service they receive is 0.80, i.e. p=0.80

H_{a}: The proportion of customers satisfied with the service they receive is different from 0.80, i.e. p\neq 0.80

<u>Decision Rule</u>:

If the <em>p</em>-value of the test is less than the significance level (<em>α</em>) then the null hypothesis may be rejected. But if the <em>p</em>-value  is more than the significance level (<em>α</em>) then we cannot reject the null hypothesis.

<u>Test Statistics:</u>

As the sample size is large, i.e.<em>n</em> = 100 > 30, then according to the central limit theorem sampling distribution of sample proportion will follow the normal distribution.

The test statistic used is:

z=\frac{\hat p-p}{\frac{\sqrt{p(1-p)}} {n} }

<u>Given</u>:

The <em>p</em>-value of the hypothesis test is computed to be 0.894.

That is:

p-value=0.894>\alpha =0.05

This implies that we fail to reject the null hypothesis at 5% level of significance.

<u>Conclusion</u>:

The null hypothesis was failed to be rejected at 5% level of significance.

Thus, concluding that the proportion of customers satisfied with the service they receive from the large electric utility company is different from 80%, the claim made by the CEO.

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3 years ago
What inverse operation should be used to isolate the variable in the equation c ÷ 7 = 2?
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C = 14

Step-by-step explanation:

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Step-by-step explanation:

You just move it to the left

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8 0
3 years ago
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Rob owns stock in dowc beverage co. and agram imports. he owns 86 more shares of agram imports, which pays a dividend of $5.15 p
salantis [7]

If Rob receives $4,585.75 in annual dividends, the number of shares of Agram Imports that Rob owns is <u>D. 441 shares</u>.

<h3>What is a dividend?</h3>

A dividend is the distribution of cash or stock that a company makes to its stockholders periodically.

Dividends are usually based on a dividend payout ratio, determined by the Board of Directors of the company.

<h3>Data and Calculations:</h3>

                                       Dowc Beverage Co.     Agram Imports

Dividend per share                 $6.52                               $5.15

Number of shares                    x                                     x+ 86

Number of shares                 355 (441 - 86)                  441 (355 + 86)

Total dividend received      $2,314.60 ($4,585.75 - $2,271.15))  $2,271.15

which is equivalent to $2,314.60 ($355 x $6.52)

Assuming total shares from Agram Imports to be 441, the total dividends will be $2,271.15 ($5.15 x 441), and, the dividend from Dowc Beverage Co. will be $2,314.60 and the number of shares will be 355 ($2,314.60/$6.52), which is 86 less than the shares in Agram Imports.

Thus, if Rob receives $4,585.75 in annual dividends, the number of shares of Agram Imports that Rob owns is <u>D. 441 shares</u>.

Learn more about dividends at brainly.com/question/3161471

#SPJ4

3 0
2 years ago
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