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taurus [48]
3 years ago
15

Which best describes the data set below?

Mathematics
1 answer:
Stels [109]3 years ago
3 0
B. The data is skewed to the left.
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I don't see the grid? did you attach a photo?

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Use differentials to estimate the amount of metal in a closed cylindrical can that is 26 cm high and 10 cm in diameter if the me
Afina-wow [57]

Answer:

The estimated amount of metal in the can is 87.96 cubic cm

Step-by-step explanation:

We can find the differential of volume from the volume of a cylinder equation given by

V= \pi r^2 h

Thus that way we will find the amount of metal that makes up the can.

Finding the differential.

A small change in volume is given by:

dV =\cfrac{\partial V}{\partial h} dh + \cfrac{\partial V}{\partial r} dr

So finding the partial derivatives we get

dV =\pi r^2 dh + \pi 2r h dr

dV =\pi r^2 dh + 2\pi r h dr

Evaluating the differential at the given information.

The height of the can is h = 26 cm, the diameter is 10 cm, which means the radius is half of it, that is r = 5 cm.

On the other hand the thickness of the side is 0.05 cm that represents dr = 0.05 cm, and the thickness on both top and bottom is 0.3 cm, thus dh = 0.3 cm +0.3 cm which give us 0.6 cm.

Replacing all those values on the differential we get

dV =\pi 5^2 (0.6) + 2\pi (5) (26) (0.05)

That give us

V= 28 \pi  \, cm^3

Or in decimal value

\boxed{dV= 87.96 \, cm^3}

Thus the volume of metal in the can is 87.96 cubic cm.

6 0
3 years ago
Abigail has 16 shoes use repeated subtraction to show how many pairs of shoes Abigail has
erik [133]

Hello!

Here is how we solve this question.

We know that 2 shoes = 1 pair

So we subtract 2 from 16 until we reach 0, and count how many times we subtracted.

16-2=14

14-2=12

12-2=10

10-2=8

8-2=6

6-2=4

4-2=2

2-2=0

After we do repeated subtraction we find that Abigail has 8 pairs of shoes!

Hope this helps you with your question.

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Angela has a credit score of 800 describe reasons why her score might be so high
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She does not use her creator card a lot or she does not purchase many expensive items
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Answer to this question?
Svetradugi [14.3K]
$88.50 you just add btw.just letting u know
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3 years ago
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