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2 years ago

Which expression can be used to find the volume of the sphere?

Mathematics

2 answers:

Kryger [21]2 years ago

4 0

Answer:

They used 3.14 for pi:

$V=\frac{4}{3} \pi r^3$

$V=\frac{4}{3} (3.14)(5)^3$

Step-by-step explanation:

$V=\frac{4}{3}\pi r^3$ is the volume of a sphere with radius r.

I think that is the diameter given in the picture.

The radius is half the diameter.

So the radius is 5 since the diameter is 10.

Plug in this gives you:

$V=\frac{4}{3} \pi (5)^3$

Amiraneli [1.4K]2 years ago

3 0

Answer:

THE ANSWER IS B

HOPE THIS HELPS

Step-by-step explanation:

I DID IT ON EDG

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Solve 14(0.89)x+4.5 =162

dedylja [7]

So the first thing to do is to simplify both sides of this equation:
12.46x+4.5=162
Next we shall subtract 4.5 from both sides so:
12.46x+4.5−4.5=162−4.512.46x=157.5
Now that we are done with all those steps now here is the final steps so now we shall divide both sides by 12.46:
12.46x/12.46 = 157.5/12.46
Ok so your final answer shall be:
x=12.640449
I hope this helps you greatly!

6 0

2 years ago

Read 2 more answers

Carpet sells for $4 per square foot and will cost you $748 to recarpet your rectangular room. If your room is 17 feet long, how

alexandr1967 [171]

If the carpet sells for 4 per sq ft, and u paid 748...then u got (748/4) = 187 sq ft. of carpet

A = L * W
A = 187
L = 17

187 = 17W
187/17 = W
11 = W <=== the width of the room is 11 ft

4 0

3 years ago

Read 2 more answers

1. A 2002 poll reported that 61% of people worried that they would be exposed to SARS.

Mama L [17]

Answer:

Part 1

a) $ME=1.96 \sqrt{\frac{0.61 (1-0.61)}{100}}=0.0956$

b) $ME=1.96 \sqrt{\frac{0.61 (1-0.61)}{363}}=0.0502$

c) $ME=1.96 \sqrt{\frac{0.61 (1-0.61)}{1551}}=0.0243$

Part 2

We can see that if we increase the sample size the margin of error decrease and that makes sense since n is on the denominator in the formula for the margin of error and if we increase the denominator the result needs to decrease.

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.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Part 1

For this case in order to find the margin of error we need to assume a confidence level fixed, let's assume 95% for example. The Margin of error is given by this formula:

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

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 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by: