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4 years ago

6

The width of a rectangular painting is 5 inches shorter than it's length. Creat a table of values to include possible widths,len

gths,and areas of the painting.

1 answer:

Misha Larkins [42]4 years ago

6 0

A = L * W
W = L - 5

these are in inches...
length width area
10 5 50 in^2
9 4 36 "
8 3 24 "
7 2 14 "
6 1 6 "

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ou are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on cons

PolarNik [594]

Answer:

$(\frac{4\sigma}{2.056})^2$ , rounded up, if needed, citizens should be included in the sample, in which $\sigma$ is the standard deviation of the population.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.96}{2} = 0.02$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.02 = 0.98$ , so Z = 2.056.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

Within 4 years of the actual mean

We have to find n for which M = 4. So

$M = z\frac{\sigma}{\sqrt{n}}$

$4 = 2.056\frac{\sigma}{\sqrt{n}}$

$2.056\sqrt{n} = 4\sigma$

$\sqrt{n} = \frac{4\sigma}{2.056}$

$(\sqrt{n})^2 = (\frac{4\sigma}{2.056})^2$

$n = (\frac{4\sigma}{2.056})^2$

$(\frac{4\sigma}{2.056})^2$ , rounded up, if needed, citizens should be included in the sample, in which $\sigma$ is the standard deviation of the population.

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3 years ago

What expression represents the volume of the cone, in

denis23 [38]

The expression that represents the volume of the given cone, in cubic units is 2/3 πx³.

<h3>How to calculate the volume of the cone?</h3>

The volume of a cone with radius 'r' and slant height 'h' is

V = 1/3 π r² h

Unit: cubic units

<h3>Calculation:</h3>

The given cone has radius r = x and height h = 2x

Then, the volume of the cone is calculated by

V = 1/3 π r² h

= 1/3 π x² (2x)

= 2/3 π x³ cubic units

Therefore, the volume of the given cone is V = 2/3 π x³ cubic units.

So, option A is correct.

Learn more about the volume of a cone here:

brainly.com/question/13677400

#SPJ9

Disclaimer: The given question on the portal is incomplete. Here is the complete question.

Question: What expression represents the volume of the cone, in cubic units?

A) 2/3 πx³

B) 4/3 πx²

C) 2πx³

D) 4πx³

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2 years ago

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denpristay [2]

Answer:
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Anna11 [10]

It’s gunna be 60.2 I believe

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