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Tcecarenko [31]
3 years ago
6

If y varies directly as x and y = 36 when x = 4,what is the constant of variation?​

Mathematics
1 answer:
Inessa05 [86]3 years ago
7 0

Answer:

9

Step-by-step explanation:

Y ~ X

Y = KX

K = Y/X

K = 36/4

K = 9

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A large on-demand, video streaming company is designing a large-scale survey to determine the mean amount of time corporate exec
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Answer:

554 executives should be surveyed.

Step-by-step explanation:

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Now, find the margin of error M as such

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

In which \sigma is the standard deviation of the population and n is the size of the sample.

Standard deviation of 3 hours.

This means that \sigma = 3

The 95% level of confidence is to be used. How many executives should be surveyed?

n executives should be surveyed, and n is found with M = 0.25. So

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

0.25 = 1.96\frac{3}{\sqrt{n}}

0.25\sqrt{n} = 1.96*3

\sqrt{n} = \frac{1.96*3}{0.25}

(\sqrt{n})^2 = (\frac{1.96*3}{0.25})^2

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Rounding up:

554 executives should be surveyed.

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