Select all the numbers that are irrational

A)  

D)  

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Explanation:

Choices B and C are rational because we can simplify them to form a fraction of integers.

Any rational number is of the form P/Q where P,Q are integers and Q is nonzero.

So we can rule out choices B and C.

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Choice A on the other hand cannot be written as a fraction of integers. The 5 isn't a perfect square, which makes irrational.

The same can be said about which is roughly equal to 3.14; the decimal digits go on forever without a known pattern.

Choice A and choice D are the two answers.

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If we know the pattern of the decimal digits, then we can turn the decimal number into a fraction of integers

The number -0.777, where the 7s go on forever, converts to the fraction -7/9

That means we rule out choice E.

an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.