If the z-value for a given value x of the random variable X is z = 1.96, and the distribution of X is normally distributed with a mean of 60 and a standard deviation of 6, to what x-value does this z-value correspond?

a. 71.76
b. 67.96
c. 61.96
d. 48.24

Option A

Step-by-step explanation:

The two lines if rotated by 90 degree in the same direction will remain parallel. They may become perpendicular if only one of them is rotated or will be the same line if rotated in opposite direction by same amount.

Now if these two are translated by same number of degree even then they will remain parallel. They may not remain parallel if they are translated by different angle

Hence, option A is correct