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4 years ago

12

A distribution with a shape that is symmetrical around the mean with a "bell" shape is described as

1 answer:

Aliun [14]4 years ago

4 0

a 'normal distribution' - gives a bell shape

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What is the answer to this question <br> 2x - 6x

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Answer:

-4x

Step-by-step explanation:

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What is the slope of the line? <br> y+3=-4(x+7)

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We don't really have to put this in slope intercept form; it would clearly end up as

y = -4x + something

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Answer: C) -4

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What is the equation of the following graph in vertex form?

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$\bf \boxed{y=(x-{{ h}})^2+{{ k}}}\\\\
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If p is true and q is false, then p ∨ q is true. <br> A. True<br> B. False

Marysya12 [62]

Answer:

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Step-by-step explanation:

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3 years ago

A cone shaped paper water cup has a height of 12 cm and a radius of 6 cm. If the cup is filled with water to half its height, wh

monitta

Answer:

The portion of the volume of the cup that is filled with water is $\frac{1}{8}$

Step-by-step explanation:

step 1

Find the volume of the paper water cup

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2}h$

we have

$r=6\ cm$

$h=12\ cm$

substitute

$V=\frac{1}{3}\pi (6)^{2}(12)$

$V=144\pi\ cm^{3}$

step 2

If the cup is filled with water to half its height, find out what portion of the volume of the cup is filled with water

Remember that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

In this problem the similar cone has half the height of the complete cone

so

The scale factor is equal to 1/2

therefore

The volume of the cup that is filled with water is equal to the volume of the complete cup by the scale factor elevated to the cube

$V=(1/2)^{3}(144\pi)=(1/8)144\pi\ cm^{3}$

therefore

The portion of the volume of the cup that is filled with water is

$\frac{1}{8}$

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