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2 years ago

14

A square has sides with a length of 5.8 inches. what is the effect on the perimeter of this square if the lengths of the sides a

re tripled?

1 answer:

Alla [95]2 years ago

4 0

By definition, the perimeter of a square is given by:

$P = 4L$

Where,

L: length of the sides of the square.

When the sides of the square are tripled, the equation changes as follows:

$P '= 4 (3L)$

Then, rewriting the equation we have:

$P '= 3 (4L)$

$P '= 3P$

Where,

P: perimeter of the original square.

Therefore, we can conclude that the perimeter is tripled.

Answer:

The perimeter of the square is tripled.

$P '= 3P$

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Since we know the sample is not big enough to use a z-distribution, we use student's t-distribution instead.

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We know that:

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Replacing in the formula with the corresponding values we obtain the confidence interval:

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We would determine the p value using the t test calculator. It becomes

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In your case, you'll have:

P(t) = <span> $\frac{3E7}{3E3+7E3 e^{-2t} }$

Now you have to calculate the limit of P(t).
We know that
</span> $\lim_{t \to \infty} e^{-2t} -\ \textgreater \ 0 
$

hence,

$\lim_{t \to \infty} P(t) = \lim_{t \to \infty} \frac{3E7}{3E3+0} = 10^{4}$ <span>

</span><span>

</span>

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