Name four types of transformations. Give an example of each and describe how it affects the graph of a function

Solve for x, y, and z. show all steps.

The lengths of nails produced in a factory are normally distributed with a mean of 4.91 centimeters and a standard deviation of 0.05 centimeters. find the two lengths that separate the top 4% and the bottom 4%. these lengths could serve as limits used to identify which nails should be rejected. round your answer to the nearest hundredth, if necessary.

If a is a nonzero real number then the reciprocal of a is