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podryga [215]
3 years ago
9

Given the height,h, and the volume v of a certain cylinder. Alex uses the formula

Mathematics
1 answer:
Degger [83]3 years ago
8 0

Answer:

A = 2/5

Step-by-step explanation:

r = sqrt(v) / (pi*h)

10 = sqrt(v) /(pi * h)

Solve for the volume by multiplying by pi * h on each side

10 * pi * h = sqrt(v)

Now square each side

(10*pi* h) ^2 = v


Now we have a second cylinder with a height that is 25 times the height of the other cylinder  but the same volume.  Solving for volume, we will multiply by

r = sqrt(v) / (pi*h)

r = sqrt(v) /(pi *25h)

r* pi * 25h = sqrt(v)

Now square each side

(r*pi*25h) ^2 = (sqrtv) ^2

(r*pi*25h)^2 = v

The problem states the the 2 cylinders have the same volume

(10 * pi * h) ^2 =  ( r * pi * 25h) ^2

Take the square root of each side

10*pi*h = r*pi * 25h

Divide each side by pi and h

10 = 25r

Divide by 25

10/25 =r

2/5 =r

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I got D.

There's a few ways to solve it; I prefer using tables, but there are functions on a TI-84 that'll do it for you too. The logic here is, you have a standard normal distribution which means right away, the mean is 0 and the standard deviation is 1. This means you can use a Z table that helps you calculate the area beneath a normal curve for a range of values. Here, your two Z scores are -1.21 and .84. You might notice that this table doesn't account for negative values, but the cool thing about a normal distribution is that we can assume symmetry, so you can just look for 1.21 and call it good. The actual calculation here is:

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7 0
3 years ago
Which of the following is the solution to 17 - 2x=-11?<br> 03<br> O-14<br> 14<br> -3
Rudiy27

Answer:

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Step-by-step explanation:

plug in the "answers"

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6 0
2 years ago
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Varvara68 [4.7K]

Answer:

b.

Step-by-step explanation:

Seats to minutes = 2 to 11:

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