2 years ago

Can y’all help me on question 35?!

Mathematics

1 answer:

seraphim [82]2 years ago

4 0

Im pretty sure it’s c or do. hoped i could help

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In the right triangle shown, m∠A = 30 degrees, and BC = 6√2, how long is AC?

mart [117]

They're trying to trick you with √2. Remember in the 30/60/90 triangle the sides are in ratio 1:√3:2, with the "1" opposite the 30 degrees.

Here we have

1:√3:2 = 6√2:x:hypotenuse

x/(6√2) = √3/ 1

x = 6√2×√3 = 6√6

Answer: AC=6√6

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A survey of 80 randomly selected companies asked them to report the annual income of their presidents. Assuming that incomes are

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The 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).

Step-by-step explanation:

The information provided is:

$n=80\\\sigma=30,000\\\bar x=585062.50\\\text{Confidence level} = 90\%$

The critical value of <em>z</em> for 90% confidence level is, 1.645.

Compute the 90% confidence interval estimate of the mean annual income of all company presidents as follows:

$CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\\\\=585062.50\pm 1.645\times\frac{30000}{\sqrt{80}}\\\\=585062.50\pm5517.50\\\\=(579545, 590580)$

Thus, the 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).

This interval implies that there is 90% probability that the true mean annual income of all company presidents is within this interval.

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