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bezimeni [28]
3 years ago
13

A rectangle’s width is 2 meters shorter than its length, l. Its area is 168 square meters. Which equation can be used to find th

e length of the rectangle?
l(l – 2) = 168
l(l + 2) = 168
2l 2 = 168
l 2 = 168
Mathematics
2 answers:
cricket20 [7]3 years ago
8 0

Answer:

A

Step-by-step explanation:

bija089 [108]3 years ago
7 0

Answer:

l(l - 2) = 168

Step-by-step explanation:

Let w = width

Let l = length

Let A = area

w = l - 2

A =  l * w

also, A = 168

equating the two values of A

l * w = 168

l * (l - 2) = 168

l^2 - 2l = 168

l(l - 2) = 168

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We first need to determine whether we are dealing with means or proportions in this problem. Since we are given the sample and population mean, we know that we are dealing with means.

Since we have one sample mean, this means we are creating a confidence interval for one sample (1 Samp T Int).

Normally we would check for conditions, but since this is not formulated as a "real-world scenario" type problem, it is hard to check for randomness and independence. Therefore, I will be excluding conditions from this answer.

<h3>Confidence Interval Formula</h3>

The formula for constructing a <u>confidence interval for means</u> is as follows:

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We are given these variables:

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Plug these values into the formula for the confidence interval:

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<h3>Finding the Critical Value (t*)</h3>

In order to find t*, we can use this formula:

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Calculating the z-score associated with "A" will give us t*.

So, let's plug in the confidence interval 95% (.95) into the formula:

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Now, let's finish the confidence interval we created:

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We can calculate the confidence interval, using this formula, to be:

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