Find z0.755.

0.7734

0.2266

0.69

–0.69

Option A is correct.

0.7734.

Step-by-step explanation:

Definition:  z-score indicates that how many standard deviations an element is from the mean.

It can be calculated from the following formula.

where;  

z is the z-score,    

X is the value of the element,

is the mean, and σ is the standard deviation.

To interprets z- score:

if a z-score < 0, it  represents an element less than the mean.

if a  z-score > 0, it represents an element greater than the mean.

if  z-score = 0, it  represents an element equal to the mean.

Given:  z < 0.755

then,

to find the value of z, look up the standardize normal distribution to the left of a z-score.

we get

z = 0.7734

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step-by-step explanation:

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .