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3 years ago

What is the radius of a cylinder if it has a volume of 769.3 cubic meters and a height of 5 meters? (Use 3.14 for π.)

Mathematics

2 answers:

vodka [1.7K]3 years ago

7 0

Answer:

the answer is 7 m

Step-by-step explanation:

im taking it rn

katen-ka-za [31]3 years ago

6 0

769.3= (3.14) r^2 *5
153.86=(3.14) r^2
49= r^2
The square root of 49 is 7

The answer is 7.

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450 high school freshmen were randomly selected for a national survey. Among survey participants, the mean grade-point average (

umka21 [38]

Answer:

The margin of error is of 0.01.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.7}{2} = 0.15$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.15 = 0.85$ , so Z = 1.037.

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

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

Standard deviation was 0.21.

This means that $\sigma = 0.21$

Sample of 450:

This means that $n = 450$

What is the margin of error, assuming a 70% confidence level, to the nearest hundredth?

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

$M = 1.037\frac{0.21}{\sqrt{450}}$

$M = 0.01$

The margin of error is of 0.01.

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