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3 years ago

15

Your rectangular garden is 15 1/2 feet long and 26.5 feet wide. You plan to build a border. The border material costs $2.88 for

1.5 feet in length. The border will be three bricks high. You contractor will charge you $420 for labor. What will be the total bill for the project? (show work thank you)

1 answer:

Elanso [62]3 years ago

3 0

Answer:

$ 903.84

Step-by-step explanation: First find the perimeter, width + length + width + length. Then multiply it by 3 as the border is 3 bricks tall, divide it by 1.5 then multiply by 2.88 to get the price of the border. Add $420 to get the final price.

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The complete question is shown on the first uploaded image

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a

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From the question we are told that

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The standard deviation is $s = 3.4$

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Considering question a

From the question n = 49

Generally the margin of error is mathematically represented as

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

=> $E = 1.96* \frac{ 3.4 }{\sqrt{49} }$

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Generally 95% confidence interval is mathematically represented as

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From the question n = 196

Generally the margin of error is mathematically represented as

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

=> $E = 1.96* \frac{ 3.4 }{\sqrt{196} }$

=> $E = 0.4687$

Generally 95% confidence interval is mathematically represented as

$\= x -E < p < \=x +E$

$34.5 -0.4687 < p < 34.5 +0.4687$

=> $34.03 < \mu < 34.969$

Considering question c

Generally the width at n = 49 is mathematically represented as

$w = 2 * E$

$w = 2 * 0.952$

$w = 1.904$

Generally the width at n = 196 is mathematically represented as

$w = 2 * E$

$w = 2 * 0.4687$

$w = 0.9374$

Now when the sample size is quadrupled i.e from n = 49 to n = 196

The width of the confidence interval decrease by 2 from 1.904 to 0.9374

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