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vampirchik [111]
3 years ago
15

The length of a rectangular garden is three feet less than twice it’s width. If the perimeter of the garden is 42 feet, what is

the length?
Mathematics
1 answer:
Masja [62]3 years ago
3 0

Answer:

The length of a rectangular garden is: 13 feet

Step-by-step explanation:

You have 2 lengths that are 2x-3 feet, and 2 widths that are x.

2x-3 + 2x-3 +x +x =42 feet

4x -6 +2x -42 feet

6x -6 = 42 feet

6x = 48 feet

x = 8 feet (so, 2x-3 = 16-3 = 13 feet)

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Step-by-step explanation:

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2 years ago
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The CEO of a large electric utility company claims that 80 percent of his 1,000,000 customers are very satisfied with the servic
Oksana_A [137]

Answer:

Conclusion: The proportion of customers satisfied with the service they receive from the large electric utility company is different from 80%, the claim made by the CEO.

Step-by-step explanation:

To test the claim made by the CEO of a large electric utility company the newspaper must conduct a hypothesis test for one proportion.

<u>Assumption</u>:

The significance level (<em>α</em>) of the test can be assumed to be 5%.

<u>Hypothesis</u>:

H_{0}: The proportion of customers satisfied with the service they receive is 0.80, i.e. p=0.80

H_{a}: The proportion of customers satisfied with the service they receive is different from 0.80, i.e. p\neq 0.80

<u>Decision Rule</u>:

If the <em>p</em>-value of the test is less than the significance level (<em>α</em>) then the null hypothesis may be rejected. But if the <em>p</em>-value  is more than the significance level (<em>α</em>) then we cannot reject the null hypothesis.

<u>Test Statistics:</u>

As the sample size is large, i.e.<em>n</em> = 100 > 30, then according to the central limit theorem sampling distribution of sample proportion will follow the normal distribution.

The test statistic used is:

z=\frac{\hat p-p}{\frac{\sqrt{p(1-p)}} {n} }

<u>Given</u>:

The <em>p</em>-value of the hypothesis test is computed to be 0.894.

That is:

p-value=0.894>\alpha =0.05

This implies that we fail to reject the null hypothesis at 5% level of significance.

<u>Conclusion</u>:

The null hypothesis was failed to be rejected at 5% level of significance.

Thus, concluding that the proportion of customers satisfied with the service they receive from the large electric utility company is different from 80%, the claim made by the CEO.

4 0
3 years ago
What is the general rule for the sequence?<br> 1.11, 2.54, 3.97, 5.40, ...
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The pattern is adding 1.43 to the term before

1.11 + 1.43 = 2.54 + 1.43 = 3.97 + 1.43 = 5.40 . . .and so on.


7 0
3 years ago
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2 - ( - 8 ) + ( - 3 ) =
solmaris [256]
Hey!

First, let's write the problem.
2-\left(-8\right)+\left(-3\right)
We know that, -\left(-8\right)=+8, so let's apply that
=2+8+\left(-3\right)
We have to add, 2+8=10
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We know that +\left(-3\right)=-3, so let's apply that.
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3 0
3 years ago
What does 1/8 + 1/6 equal?​
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Answer:

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1/8 + 1/6

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