Final answer:
The value of z is approximately 1.73.
Step-by-step explanation:
To find the value of z, we need to use the Z-table. The Z-table shows the area to the left of a z-score. In this case, the area to the left of z is given as 0.9582. To locate this area in the Z-table, we look for the closest value that is less than 0.9582. This value corresponds to a z-score of approximately 1.73.