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2 years ago

Which of the following is the difference of two squares?

Mathematics

1 answer:

Sedaia [141]2 years ago

4 0

The difference of two squares expression is (d) 25a^2-36b^6

<h3>How to determine the difference of two squares?</h3>

The difference of two squares is represented as:

x^2 - y^2

Where x and y are perfect square expressions.

From the list of options, we have:

25a^2-36b^6

The terms of the above expression are perfect squares

i.e.

25a^2 = (5a)^2

36b^6 = (6b^3)^2

Hence, the difference of two squares expression is (d) 25a^2-36b^6

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3 years ago

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3 years ago

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Answer: A. Mean of sampling means $=\mu=168\ Mg/dl$

Standard deviation of sampling means = $2.86\ mg/dl$

B. The probability that your sample has mean less than 165 is 0.1492 .

Given : The distribution of blood cholesterol level in the

population of young men aged 20 to 34 years is close to normal with

mean $\mu= 168$ Mg/dl and standard deviation $\sigma= 35$ mg/dl.

Sample size : n= 150

Let $\overline{x}$ sample mean values.

A. The mean and the standard deviation of the distribution of the sampling means would be :

Mean of sampling means = $\mu=168\ Mg/dl$

Standard deviation of sampling means = $\dfrac{\sigma}{\sqrt{n}}=\dfrac{35}{\sqrt{150}}$

$=\dfrac{35}{12.2474487}\\\\=2.85773803649\approx2.86\ mg/dl$

The probability that your sample has mean less than 165 would be

$P(\overline{x}$

Hence , the probability that your sample has mean less than 165 is 0.1492 .

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3 years ago