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yawa3891 [41]
4 years ago
6

Find the radius of a right cylinder with a volume of 350 cubic feet and a height of 4 feet. Round your answer to the nearest hun

dredth.
Mathematics
1 answer:
frosja888 [35]4 years ago
4 0

Answer:

Radius=\sqrt{27.87} feet

Step-by-step explanation:

Volume of a right cylinder= \pi *r^2*h

Volume= 350 feet^3

Height(h)=4 feet

As, \pi =\frac{22}{7}=3.14

           350=3.14*r^2*4\\\\350=12.56*r^2\\\\r^2=350/12.56\\\\r^2=27.87\\\\r=\sqrt{27.87}feet

Radius=\sqrt{27.87} feet

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ALL of the Students at Beach Middle School voted for a trip to the zoo or the aquarium.
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A certain academic program boasts that 87% of their graduates find full-time employment in their field within the first year of
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3 years ago
Which score indicates the highest relative position? I. A score of 2.6 on a test with X = 5.0 and s = 1.6 II. A score of 650 on
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Answer:

A score of 2.6 on a test with \bar X = 5.0 and s = 1.6 and A score of 48 on a test with \bar X = 57 and s = 6 indicate the highest relative position.

Step-by-step explanation:

We are given the following:

I. A score of 2.6 on a test with \bar X = 5.0 and s = 1.6

II. A score of 650 on a test with \bar X = 800 and s = 200

III. A score of 48 on a test with \bar X = 57 and s = 6

And we have to find that which score indicates the highest relative position.

For finding in which score indicates the highest relative position, we will find the z score for each of the score on a test because the higher the z score, it indicates the highest relative position.

<u>The z-score probability distribution is given by;</u>

              Z = \frac{X-\bar X}{s} ~ N(0,1)

where, \bar X = mean score

            s = standard deviation

            X = each score on a test

  • <u>The z-score of First condition is calculated as;</u>

Since we are given that a score of 2.6 on a test with \bar X = 5.0 and s = 1.6,

So,  z-score = \frac{2.6-5}{1.6} = -1.5  {where \bar X = 5.0 and s = 1.6 }

  • <u>The z-score of Second condition is calculated as;</u>

Since we are given that a score of 650 on a test with \bar X = 800 and s = 200,

So,  z-score = \frac{650-800}{200} = -0.75  {where \bar X = 800 and s = 200 }

  • <u>The z-score of Third condition is calculated as;</u>

Since we are given that a score of 48 on a test with \bar X = 57 and s = 6,

So,  z-score = \frac{48-57}{6} = -1.5  {where \bar X = 57 and s = 6 }

AS we can clearly see that the z score of First and third condition are equally likely higher as compared to Second condition so it can be stated that <u>A score of 2.6 on a test with </u>\bar X<u> = 5.0 and s = 1.6</u> and <u>A score of 48 on a test with </u>\bar X<u> = 57 and s = 6 </u> indicate the highest relative position.

7 0
4 years ago
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