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2 years ago

A swimming pool has a diameter of 32 feet. What is the area of the swimming pool that needs to be covered by a tarp?

1 answer:

4 0

To get the area of a circle, use this formula: A = $\pi$ * radius^2

We can use 3.14 for $\pi$ .
And because this formula uses the radius and not the diameter, we will need to convert the diameter into a radius. The radius is half of a diameter.

32 / 2 = 16

Now we have our radius.

A = 3.14 * 16^2
A = 3.14 * 256
A = <span>803.84

So, you will need to have a tarp that is at least 803.84 feet squared to cover the pool.</span>

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Hector made some observations about the numbered cards before his friend turned them face down and rearranged them in a differen

Zarrin [17]

Answer:

c and e

Step-by-step explanation:

he cant get 2 and there are 8 cards and only one of them is a one

6 0

2 years ago

Consider the equation 36+ =6(6+5)

Snowcat [4.5K]

Answer:

36+30 = 6(6+5)

Step-by-step explanation:

We just simply expand the brackets:

6×6=36

6×5=30

30+36=76

so 76-36=30

So the missing number was 30

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2 years ago

Read the scenario.

igor_vitrenko [27]

Answer:

Step-by-step explanation:

7 0

2 years ago

xialoli was estimating the difference between two positive numbers x and y (where x>y). First she rounded x up by a small amo

AleksandrR [38]

Remark

This is an excellent question. Estimation is a powerful skill to have. People should always shop using estimates. Try it to see what happens.

x = 11.7 which rounds up to which we will call x1 and that is 12

y = 6.03 which round down to 6 which we will call y1 and that is 6

Now x - y = 5.67

If you do the rounded subtraction x1 - y1 = 12 - 6 = 6

The estimate is not zero. D is not correct.

There is enough information E is not the answer.

B is wrong, her estimate is larger than x - y

C is wrong the two subtractions are not equal.

A is correct and always will be no matter what numbers are chosen

A <<<< Answer

5 0

2 years ago

A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only

Semenov [28]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is:

X: Number of people that support the candidate.

You need to calculate the sample size to estimate the population proportion of supporters given a confidence level of 99% and a margin of error of 4%

The margin of error of the confidence level for the population proportion is

d= $Z_{1-\alpha /2}$ * $\sqrt{\frac{p'(1-p')}{n} }$

From this formula you have to clear the value of n:

$\frac{d}{Z_{1-\alpha /2}}$ = $\sqrt{\frac{p'(1-p')}{n} }$

$(\frac{d}{Z_{1-\alpha /2}})^2$ = $\frac{p'(1-p')}{n}$

$n*(\frac{d}{Z_{1-\alpha /2}})^2$ = $p'(1-p')$

n= $p'(1-p') * (\frac{Z_{1-\alpha/2}}{d} )^2$

$Z_{1-\alpha/2}= Z_{0.995}= 2.586$

sample proportion "p'" since there is no sample information, nor any previous information is known, you have to consider it as the "worse case scenario" and use the value of p'= 0.50

d= 0.04

$n= p'(1-p') * (\frac{Z_{1-\alpha/2}}{d} )^2= 0.5*0.5*(\frac{2.586}{0.04} )^2= 1044.9= 1045$

She has to take a sample of 1045 people to estimate the population proportion of her supporters with a confidence level of 99% and a margin of error of 4%

I hope this helps!

4 0

2 years ago