Question 1201654
mean is 180.9
standard deviation is 83.6
z-score with 42% of the area under the normal distribution curve to the left of it is equal to -.2018934725.
raw score associated with that is obtained from the z-score formula.
z = (x - m) / s becomes -.2018934725 = (x - 180.9) / 83.6.
solve for x to get x = 164.0217057.
here's what it looks like on a graph.


<img src = "http://theo.x10hosting.com/2023/041302.jpg">