3 years ago

E = mc^2 c = ? can anyone help me find the value of c in this equation?

Mathematics

1 answer:

7nadin3 [17]3 years ago

4 0

Easy
divide both sides by m
(E/m)=c^2
sqrt both sides
$\sqrt{ \frac{E}{m} } =c$

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3 years ago

Assuming that s = 18,000 is a reasonable estimate for what sample size would be needed to ensure that we could estimate the true

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Answer:

The minimum sample size required is 71.

Step-by-step explanation:

The (1 - α)% confidence interval for population mean is:

$CI=\bar x\pm z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}$

The margin of error for this interval is:

$MOE=z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}$

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The given information is:

s = 18000,

Margin of error = $4200.

Confidence level = 95%

The z-value for 95% confidence level is,

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a z-table for the critical value.

Compute the sample size required as follows:

$MOE=z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}$

$n=[\frac{z_{\alpha/2}\times \sigma }{MOE}]^{2}$

$=[\frac{18000\times 1.96}{4200}]^{2}$

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Thus, the minimum sample size required is 71.

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3 years ago