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vodka [1.7K]
3 years ago
12

A square has a perimeter given by the expression 16x+32y. Write an expression for the length of one side of the square.

Mathematics
2 answers:
Lemur [1.5K]3 years ago
8 0
A square has 4 equal sides which make up the perimeter.

Therefore the length of one side = (16x + 32y) / 4  = 4x + 8y Answer
AnnZ [28]3 years ago
6 0
A square has 4 sides with equal length.
The perimeter is the sum of the 4 equal lengths.
The perimeter is also 4 times the length of one side.
Each side is 1/4 of the perimeter.

P = 16x + 32y

s = P/4 = (16x + 32y)/4 = 4x + 8y

Answer: 4x + 8y
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Answer:

a. The point estimate was of $44,600.

b. The sample size was of 16.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

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M = \frac{50463-38737}{2} = 5863

Relating the margin of error with the sample size:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.9}{2} = 0.05

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.05 = 0.95, so Z = 1.64.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

For this problem, we have that \sigma = 14300, M = 5863. So

M = z\frac{\sigma}{\sqrt{n}}

5863 = 1.645\frac{14300}{\sqrt{n}}

5863\sqrt{n} = 1.645*14300

\sqrt{n} = \frac{1.645*14300}{5863}

(\sqrt{n})^2 = (\frac{1.645*14300}{5863})^2

n = 16

The sample size was of 16.

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