The distribution of the time it takes for different people to solve a certain crossword puzzle is strongly skewed to the right, with a mean of 30 minutes and a standard deviation of 15 minutes. the distribution of z-scores for those times is

z-scores illustrates how far a data element is, from the mean of the dataset.

Given

--- the mean

--- the standard deviation

z-score is calculated using:

(a) The z-score of the mean

This means that:

So, we have:

(b) The z-score of the standard deviation

This means that:

So, we have:

Hence, the distributions of z-score for the mean and the standard deviation are 0 and -1 respectively.

Read more about z-scores at:

link

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-12 -5(x + 4) = 3x

-12 - 5x - 20 = 3x

-12 - 20 - 5x = 3x

-32 - 5x = 3x

    + 5x   + 5x

-32 = 8x

8         8

- 4= x

32

step-by-step explanation: