A x 10² + b x 10⁴ = c X 10⁴<br>Express c in terms of a and b.

Find the altitude of a cylinder with with a radius of 9 and a surface area of approximately 791.68 units2.

Vika [28.1K]

In this question , it is given that we have a cylinder with with a radius of 9 and a surface area of approximately 791.68 units square.

The formula of surface area of cylinder is

$A= 2 \pi r^2 + 2 \pi r h$

Substituting the values of A and r, we will get

$791.68 = 2* \pi * 9^2 + 2 * \pi * 9*h
\\
791.68 = 162 \pi + 18 \pi h
\\
791.68 -162 \pi = 18 \pi h
\\
h = \frac{791.68 -162 \pi}{18 \pi}
\\
h =5 units$

So the height of the cylinder is 5 units .

4 0

3 years ago

A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a

laila [671]

Complete Question

A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a margin of error of ±5% with 90% confidence, and we do not have any prior knowledge about the proportion who might support the law. How many people need to be included in the sample?

Round your answer up to the nearest integer.

sample size = _____

Answer:

The sample size is $n = 271$

Step-by-step explanation:

From the question we are told that

The margin of error is E = 5% = 0.05

Generally given that there was no prior knowledge about the proportion of who might support the law, we will assume the sample proportion to be

$\^ p = 0.5$

From the question we are told the confidence level is 90% , hence the level of significance is

$\alpha = (100 - 90 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.645$

Generally the sample size is mathematically represented as

$n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )$

=> $n = [\frac{1.645 }{0.05} ]^2 * 0.5 (1 - 0.5 )$

=> $n = 271$

5 0

3 years ago

Write three equivalent ratios for the given ratio. 6 9

aliya0001 [1]

Answer:

Do you mean 6/9?

2/3

12/18

8/12

8 0

3 years ago

Recording the number of pages in each book in one book shelf in a library is an example of measuring a _____.

Wewaii [24]

B because why can’t it ! Heheehebe. She herb

3 0

3 years ago

It is now twenty-five to four. What time will it be in one hour and forty-six minutes?

Dafna1 [17]

Answer:

5:21

Step-by-step explanation:

We know that currently (in the problem) it is 25 min before 4, or 3:35. When we add an hour to that (first part of the problem), we get 4:35. The way l like to continue from here is to take the second part (the 46 min) and just use part of it to round the hour off, and then add the other part to it.

From 4:35 to 5, we have 25 min

4.35 + 25 = 5

We subtract those 25 min from the 46 min, since we used them to round the hour off.

46 - 25 = 21

We have 21 min left, and now that the hour is rounded off, it's way easier to add minutes to it.

5 + .21 = 5.21.

So an hour and 46 min from 3:35 it will be 5:21. I hope this helps :)

7 0

3 years ago

Read 2 more answers

A x 10² + b x 10⁴ = c X 10⁴Express c in terms of a and b.​

A x 10² + b x 10⁴ = c X 10⁴Express c in terms of a and b.