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4 years ago

The raiders of a sphere is 6 units. Which expression represents the volume of the sphere, in cubic units?

Mathematics

2 answers:

bezimeni [28]4 years ago

7 0

The correct answer is:

B. $\frac{4}{3}\pi(6)^{3}$

The expression above represents the volume of the sphere in cubic units.

$|Huntrw6|$

nadezda [96]4 years ago

6 0

Answer:

4/3 π × 6³

Step-by-step explanation:

The volume of a sphere is given by the formula;

volume = 4/3 πr³

where r is the radius of the sphere

Volume = 4/3 π×r³

= 4/3 π × 6³

You might be interested in

Solve x squared = 10

balu736 [363]

Answer:

=3.162

Step-by-step explanation:

= −0 + √ 02 − 4×1×(−10)

2×1

= 0 + 2 × √ 10

= 3.162

5 0

3 years ago

The proprietor of a boutique in New York wanted to determine the average age of his customers. A random sample of 25 customers r

jolli1 [7]

Answer:

$28-2.064\frac{10}{\sqrt{25}}=23.872$

$28+2.064\frac{10}{\sqrt{25}}=32.128$

So on this case the 95% confidence interval would be given by (23.9;32.1)

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".

$\bar X=28$ represent the sample mean

$\mu$ population mean (variable of interest)

s=10 represent the sample standard deviation

n=25 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=25-1=24$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,24)".And we see that $t_{\alpha/2}=2.064$