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sesenic [268]
3 years ago
13

What is the volume of a sphere with radius of 16 inches?

Mathematics
2 answers:
matrenka [14]3 years ago
8 0
Volume =
\frac{4}{3} \pi {r}^{3}  \\  =  \frac{4}{3}  \times 3.14 \times  {16}^{3}  \\  = 17148.59 \  {in}^{3}

The answer is the first option.

Hope this helps. - M
postnew [5]3 years ago
5 0
Hey there :)

We know the volume formula of a sphere is:
\frac{4}{3}\pi (radius)³

We are given the radius = 16 in
And asked to use 3.14 for \pi 

Apply the formula
V = \frac{4}{3} (3.14)(16)^3
   = \frac{4}{3} (3.14)(4096)
   = 17,148.58667
   ≈ 17,148.59 in³

Your answer will be the first option

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5 0
3 years ago
Suppose that scores on an aptitude test are normally distributed with a mean of 100 and a standard deviation of 4.6. Scores on a
DerKrebs [107]

Answer:

<u>The correct answer is C. Felix's z-score on the aptitude test was 1.30. His z-score on the knowledge test was 2.08. Felix performed better on the knowledge test, comparatively.</u>

Step-by-step explanation:

1. Let's check all the information given to us to answer the question correctly:

Mean of the scores on the aptitude test = 100

Standard deviation of the aptitude test = 4.6

Felix's score on the aptitude test = 106

Mean of the scores on the knowledge test = 70

Standard deviation of the knowledge test = 2.4

Felix's score on the knowledge test = 75

2. Which statement best describes Felix's scores on the two tests comparatively?

Let's recall that z-score in a normal distribution, positive or negative, is the number of times of the standard deviation a certain element is from the mean. If the element is below the mean, then the z-score is negative and if it's above the mean, then the z-score is positive.

Therefore, a score of 106 on the aptitude test, will have the following z-score:

106 - 100 = 6 and it's above the mean.

Now, we calculate the z-score, using the value of the standard deviation this way:

6/4.6 = 1.30

A score of 75 on the knowledge test, will have the following z-score:

75 - 70 = 5 and it's above the mean.

Now, we calculate the z-score, using the value of the standard deviation this way:

5/2.4 = 2.08

The z-scores of Felix were 1.30 on the aptitude test and 2.08 on the knowledge test. He performed better on the aptitude test because 2.08 > 1.30, so the correct statement that best describes Felix's scores on the two tests comparatively is<u> C. Felix's z-score on the aptitude test was 1.30. His z-score on the knowledge test was 2.08. Felix performed better on the knowledge test, comparatively.</u>

6 0
3 years ago
Three-fourths of the tickets had been sold, and there were 420 tickets left. How many tickets were printed?
Reil [10]

Answer:

Step-by-step explanation:

420 = 1/4 so 4/4 is 4 420s

420 x 4 = 1680

8 0
3 years ago
Read 2 more answers
Solve for y. 4y+5/3 = y-8/2 y = -4 y = -5 y = -8
horrorfan [7]

Answer:

<h3>y = -34/5</h3>

Step-by-step explanation:

\dfrac{4y+5}{3}=\dfrac{y-8}{2}\qquad\text{multiply both sides by }\ 2\cdot3=6\\\\6\!\!\!\!\diagup^2\cdot\dfrac{4y+5}{\not3_1}=6\!\!\!\!\diagup^3\cdot\dfrac{y-8}{\not2_1}\\\\2(4y+5)=3(y-8)\qquad\text{use distributive property}\\\\(2)(4y)+(2)(5)=(3)(y)+(3)(-8)\\\\8y+10=3y-24\qquad\text{subtract 10 from both sides}\\\\8y=3y-34\qquad\text{subtract 3y from both sides}\\\\5y=-34\qquad\text{divide both sides by 5}\\\\\boxed{y=-\dfrac{34}{5}}

5 0
3 years ago
13. What is the highest number of degrees that an angle can have?<br> 180<br> 360<br> 90<br> 270
kykrilka [37]

Answer:

360

Step-by-step explanation: A full angle is 360. 90*4=360.

8 0
2 years ago
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