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Dvinal [7]
3 years ago
7

The ACT is an exam used by colleges and universities to evaluate undergraduate applicants. The test scores are normally distribu

ted. In a recent year, the mean test score was 21.1 and the standard deviation was 5.0. Find the z-score for the student who scores a 15.
Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
8 0

Answer:

- 0.40666

Step-by-step explanation:

Given that:

Mean, m = 21.1

Standard deviation, s = 5.0

Score, x = 15

Zscore formula :

Zscore = (x - m) / s

Zscore = (15 - 21.1) / 15

Zscore = - 6.1 / 15

Zscore = - 0.40666

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The volume of a sphere can be described by the following formula, where V = volume and r = radius of the sphere.
Anika [276]

Option C: r = \sqrt[3]{\frac{3V}{4\pi} } is the right answer

Step-by-step explanation:

Given formula for volume of a sphere is:

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

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Multiplying equation by 3/4

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

Dividing both sides by pi

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

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Hence,

Option C: r = \sqrt[3]{\frac{3V}{4\pi} } is the right answer

Keywords: Volume, Sphere

Learn more about volume at:

  • brainly.com/question/12973601
  • brainly.com/question/13063819

#LearnwithBrainly

5 0
3 years ago
ace car rental rents cars for x dollars per day plus y dollars for each mile driven carlos renteda car for a 4 days drove 100 mi
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4 years ago
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Step-by-step explanation:

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Which answer choice shows 12.444 rounded to the nearest half?
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Answer:

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Remember 0 to 4 turn it back

5 or above give it a shove.

Since 12.444 is around 0 to 4.

We can round that to 12.

3 0
3 years ago
Read 2 more answers
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