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zheka24 [161]
2 years ago
14

Jasmine is trying to replace the flooring in her rectangular bedroom. When she measured the width and length of the floor, she f

ound that the length is 5 ft. longer than the width. If the perimeter of the room is 50 ft., how much flooring will she need to replace the existing flooring in her room?
Mathematics
1 answer:
maks197457 [2]2 years ago
4 0

By finding the area of the rectangle, we will see that she will need 150 ft^2 of flooring.

<h3>How to get the area of the rectangle?</h3>

For a rectangle of length L and width W, the area is:

A = L*W

And the perimeter is:

P = 2*(L + W).

In this case, we know that the length is 5ft longer than the width, so we can write:

L = W + 5ft

We also know that the perimeter is 50ft, so we can write:

P = 50ft = 2*(W + 5ft + W)

     50ft = 4*W + 10ft

     40ft/4 = W = 10ft

So the width is 10 ft, and then the length will be:

L = 10ft + 5ft = 15ft

So the area of the rectangle is:

A = 10ft*15ft = 150 ft^2

She will need 150 ft^2 of flooring.

If you want to learn more about areas, you can read:

brainly.com/question/24487155

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konstantin123 [22]

Answer:

a) P(4S^2 > 4*9.1) = P(\chi^2_{24} >36.4) = 0.0502

b)P(13.848Step-by-step explanation:

Previous concepts

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

For this case we assume that the sample variance is given by S^2 and we select a random sample of size n from a normal population with a population variance \sigma^2. And we define the following statistic:

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For this case we know that n =25 and \sigma^2 = 6 so then our statistic would be given by:

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Solution to the problem

Part a

For this case we want this probability:

P(S^2 > 9.1)

And we can multiply the inequality by 4 on both sides and we got:

P(4S^2 > 4*9.1) = P(\chi^2_{24} >36.4) = 0.0502

And we can use the following excel code to find it: "=1-CHISQ.DIST(36.4,24,TRUE)"

Part b

For this case we want this probability:

P(3.462 < S^2

If we multiply the inequality by 4 on all the terms we got:

P(3.462*4 < 4S^2 < 4*10.745)= P(13.848< \chi^2And we can find this probability like this:P(13.848And we use the following code to find the answer in excel: "=CHISQ.DIST(42.98,24,TRUE)-CHISQ.DIST(13.848,24,TRUE)"

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Can you Afford to Enlarge this?You each want to have a 3" X 5' picture ofprinted so that you canput it on your dartboard. It cos
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Given:

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So price is:

\begin{gathered} =60\times10 \\  \\ =600 \end{gathered}

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