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3 years ago

Find the volume. Round to 1 decimal place

Mathematics

1 answer:

Sedaia [141]3 years ago

4 0

Answer:

380.8cm³

Step-by-step explanation:

Volume of a Cylinder is: $V=\pi r^2h$

'r' is the radius.

'h' is the height.

We are given a height of 9.9 cm and a diameter of 7cm.

The radius is half the diameter.

Divide 7 by 2:

$7/2=3.5$

The radius is 3.5 cm.

Solve for The Volume (Using 3.14 for pi):

$V=3.14*3.5^2*9.9\\\rightarrow3.5^2=12.25\\V=3.14 * 12.25 * 9.9\\V=38.465 * 9.9\\\boxed {V=380.8035}$

380.8035 ≈ 380.8

The volume of the cylinder should be 380.8cm³.

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Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

If solve n from equation (a) we got:

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Part a

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.9=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by: