Suppose that all the values in a data set are converted to  z  scores. which of the statements below is true?
the mean and standard deviation of the  z  scores will be the same as the mean and standard deviation of the original data values.
the mean of the  z  scores will be zero, and the standard deviation of the  z  scores will be the same as the standard deviation of the original data values.
the mean and the standard deviation of the  z  scores will both be 0.
the mean of the  z  scores will be 0, and the standard deviation of the  z  scores will be 1.

The mean of the z scores will be 0, and the standard deviation of the z scores will be 1.

Step-by-step explanation:

When the data is converted to z-scores the mean and standard deviation no longer stay the same. Both these quantities are transformed into news values.

Values converted to z scores follow a standard Normal curve. This curve is symmetric about the mean. The mean of standard normal curve is 0 with a standard deviation of 1.

Therefore, the correct answer is:

The mean of the z scores will be 0, and the standard deviation of the z scores will be 1.

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: