Find the value of z such that 0.09 of the area lies to the right of z. round your answer to two decimal places.

The value of z such that 0.09 of the are lies to the right will be found as follows:
P(X>x)=0.09
thus
P(X<X)=1-0.09=0.91
thus
P(z<Z) will found by looking in the z-table for the value that corresponds to:
P(x<x)=0.91
hence
z=1.34
Hence the answer is:
z=1.34