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2 years ago

Find the volume of a sphere that has a surface area of 16 sq. in.

2 answers:

4 0

Given the surface area of the sphere, for us to obtain the volume we need to get the value of the radius. The surface area of the sphere is given by:
S.A=4πr^2
hence the radius can be calculated as follows;
16=4πr^2
4=πr^2
r=(4/π)^(1/2)
volume of a sphere is given by:
V=4/3πr^3
=4/3*π*(4/π)^(1/2))^3
=32/3 cubic inches

Nadusha1986 [10]2 years ago

4 0

Answer:

A is the answer

You might be interested in

Use distributive law to factor the given expression: 3+21a+15b

Reil [10]

Answer:

$3(1+7a+5b)$

Step-by-step explanation:

The distributive law states that

$a\cdot (b+c)=a\cdot b+a\cdot c.$

The expression 3+21a+15b consists of three terms:

3=3·1;
21a=3·7a;
15b=3·5b.

You can see that 3 is the common factor of these three terms, thus

$3+21a+15b=3(1+7a+5b).$

6 0

3 years ago

According to the U.S. Census Bureau (2016), a substantial pay gap still exists. The average American man, with an advanced colle

Leokris [45]

Answer:

The difference in earnings, over a 30-year career, for men vs women, is $1,200,150

Step-by-step explanation:

Per year.

The average man earns $90,761.

The average woman earns $50,756

So, per year, the difference is:

90,761 - 50,756 = 40,005

Over 30 years:

30*40,005 = 1,200,150

The difference in earnings, over a 30-year career, for men vs women, is $1,200,150

0 0

2 years ago

The circumference of the inner circle is 44 ft. The distance between the inner circle and the outer circle is 2 ft. By how many

Usimov [2.4K]

You should draw a picture to visualize the problem easier.

The circumference of inner circle = 44 ft
That means the radius of the inner circle:

2*pi*r = 44
r = 44/(2pi) = 22/pi

Using the picture you hopefully drew, we see that the radius of the outer circle:
22/pi + 2

To figure out the circumference of the outer circle:
2pi*(22/pi + 2) = 44 + 4pi

So how much bigger is the the circumference of the outer circle than the inner circle?

44 + 4pi - 44 = 4pi

It is 4pi bigger or 4 * (3.14) = 12.56 feet

4 0

2 years ago

Thirty-three college freshmen were randomly selected for an on-campus survey at their university. The participants' mean GPA was

Ivan

Answer: $\pm0.1706$

Step-by-step explanation:

Given : Sample size : n= 33

Critical value for significance level of $\alpha:0.05$ : $z_{\alpha/2}= 1.96$

Sample mean : $\overline{x}=2.5$

Standard deviation : $\sigma= 0.5$

We assume that this is a normal distribution.

Margin of error : $E=\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

i.e. $E=\pm (1.96)\dfrac{0.5}{\sqrt{33}}=\pm0.170596102837\approx\pm0.1706$

Hence, the margin of error is $\pm0.1706$

7 0

2 years ago

The probability of event a is x, and the probability of event b is y. if the two events are independent, which condition must be

nalin [4]

Condition (A) P(B/A) = y is true.

<h3>What is probability?</h3>

Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true.

To find the true condition:

If two events are independent, then:

Pr(A∩B) = Pr(A) . Pr(B)

Use formulas for conditional probabilities:

Pr(A/B) = Pr(A∩B) / Pr(B)
Pr(B/A) = Pr(B∩A) / Pr(A)

For independent events these formulas will be:

Pr(A/B) = Pr(A∩B) / Pr(B) = Pr(A) . Pr(B) / Pr(B) = Pr(A)
Pr(B/A) = Pr(B∩A) / Pr(A) = Pr(B) . Pr(A) / Pr(A) = Pr(B)

Now in your case, Pr(A) = x and Pr(B) = y.

Pr(A/B) = x, Pr(B/A) = y, Pr(A∩B) = x.y

Therefore, condition (A) P(B/A) = y is true.

Know more about probability here:

brainly.com/question/25870256

#SPJ4

The complete question is given below:

The probability of event A is x, and the probability of event B is y. If the two events are independent, which of these conditions must be true?

a. P(B|A) = y

b. P(A|B) = y

c. P(B|A) = x

d. P(A and B) = x + y

e. P(A and B) = x/y

5 0

1 year ago