Answer
Answer: $z = 0.51$
Work Step by Step
Want to find the z score that has 30.5% of its distribution to the right, i.e. $ P( z > ?) = 0.305$
1) Find the cumulative area
$P( z< ?) = 1 - 0.305$
= 0.695
2) Use the standard normal distribution to find the z-score that corresponds to a cumulative area of 0.695
$=$ 0.51
Therefore, 0.51 is the z score that has 30.5% of its distribution to the right