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1 year ago

Is the expression below a perfect square trinomial or the difference of two squares?

Mathematics

1 answer:

DanielleElmas [232]1 year ago

7 0

The expression shown below is a difference of two squares.

<h3>Is a given expression a perfect square trinomial or a difference of two squares?</h3>

In this problem we have an algebraic expression that has to be checked by algebraic procedures. The complete procedure is shown below:

(x² + 8 · x + 16) · (x² - 8 · x + 16) Given

(x + 4)² · (x - 4)² Perfect square trinomial

[(x + 4) · (x - 4)] · [(x + 4) · (x - 4)] Definition of power / Associative and commutative property

(x² - 16)² Difference of squares / Definition of power / Result

The expression shown below is a difference of two squares.

To learn more on differences of squares: brainly.com/question/11801811

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Answer:

The 90% confidence interval for population mean is $14.7 < \mu < 19.1$

Step-by-step explanation:

From the question we are told that

The sample mean is $\= x = 16.9$

The confidence level is $C = 0.90$

The sample size is $n = 45$

The standard deviation

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Generally the margin of error is mathematically evaluated as

$MOE = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

substituting values

$MOE = 1.645* \frac{ 9 }{\sqrt{45} }$

$MOE = 2.207$

The 90% confidence level interval is mathematically represented as

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substituting values

$16.9 - 2.207 < \mu < 16.9 + 2.207$

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