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taurus [48]
3 years ago
10

While installing a sprinkler system, Ethel wants to cut a 20-foot length of plastic tubing into two pieces. The longer piece is

to be 2 feet longer than twice the shorter piece. Find the length of each piece.
Mathematics
1 answer:
photoshop1234 [79]3 years ago
7 0
2x+2+x=20
3x+2=20
3x+2-2=20-2
3x=18

18/3=6
So x=6
So the shorter one is 6ft and the longer piece is 14ft. (Additional work to help support answer more) 14+6=20 and 6*2+2=14.
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Researchers are studying the distribution of subscribers to a certain streaming service in different populations. From a random
Katen [24]

Answer:

CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}

Step-by-step explanation:

Given

n = 200

x_1 = 34 -- City C

x_2 = 54 --- City K

Required

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This is calculated using:

CI = \bar x \± z\frac{\sigma}{\sqrt n}

Calculating \bar x

\bar x = \bar x_1 - \bar x_2

\bar x = \frac{x_1}{n} - \frac{x_2}{n}

\bar x = \frac{34}{200} - \frac{54}{200}

\bar x = 0.17 - 0.27

For a 90% confidence level, the ​z-score is 1.65.  So:

z = 1.65

Calculating the standard deviation \sigma

\sigma = \sqrt{(\bar x_1)*(1 - \bar x_1) + (\bar x_2)*(1 - \bar x_2) }

So:

\sigma = \sqrt{(0.17)*(1 - 0.17) + (0.27)*(1 - 0.27) }

\sigma = \sqrt{(0.17)*(0.83) + (0.27)*(0.73)}

So:

CI = (0.17 - 0.27)\± 1.65\frac{\sqrt{(0.17)*(0.83) + (0.27)*(0.73)}}{\sqrt {200}}

CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}

7 0
2 years ago
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C

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Hope this helps!

4 0
3 years ago
What Force would be needed to extend a spring with a spring constant k=7 N/m that extends<br>0.3m?​
vladimir2022 [97]

Answer:

Force  =  - 2.1 Newton

Step-by-step explanation:

According to question ,

The value of Spring constant , K = 7  N/m   Newton per meter

And the spring is extended up to 0.3 meter

The Force experience on the spring is calculated from the Hook's Law

<u>The principal state that , the force applied on spring to extend or compress the spring to some distance is proportion to that distance. </u>

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4 0
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