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9966 [12]
3 years ago
15

The length of a rectangle is six times its width. if the perimeter of the rectangle is 70 inches, find its area.

Mathematics
1 answer:
DerKrebs [107]3 years ago
3 0
Width = w

Length (l) = 6w

Perimeter (P) = 70 inches

2*(l + w) = 70

6w + w = 35

7w = 35

--- w = 5

--- l = 6w = 6*5 = 30

Area = l*w = 30 * 5 = 150 inches²




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Answer:

The  confidence interval for 90% confidence would be narrower than the 95% confidence

Step-by-step explanation:

From the question we are told that

  The  sample size is n = 41

   

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For a 90% confidence the level of significance is  \alpha  = [100 - 90]\% =  0.10 and

the critical value  of  \frac{\alpha }{2}  is   Z_{\frac{\alpha }{2} } =Z_{\frac{0.10 }{2} }=  1.645

So we see with decreasing confidence level the critical value  decrease

Now the margin of error is mathematically represented as

         E =  Z_{\frac{\alpha }{2} } *  \frac{s}{\sqrt{n} }

given that other values are constant and only Z_{\frac{\alpha }{2} } is varying we have that

         E\ \  \alpha \ \   Z_{\frac{\alpha }{2} }

Hence for  reducing confidence level the margin of error will be reducing

  The  confidence interval is mathematically represented as

        \= x  - E  <  \mu <  \= x  + E

Now looking at the above formula and information that we have deduced so far we can infer that as the confidence level reduces , the critical value  reduces, the margin of error  reduces and the confidence interval becomes narrower

3 0
2 years ago
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shepuryov [24]

Answer:

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olga_2 [115]
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6 0
3 years ago
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butalik [34]

Answer:

If you and your friend are splitting a 200 dollar job, the answer would be 25$

Step-by-step explanation:

So, divide 200 by 4

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5 0
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sergey [27]

Answer:

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Step-by-step explanation:

Given:

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