Might want to edit this question and add pictures:-)
P(-2.57 ≤ Z ≤ 1.27) = P(Z ≤ 1.27) - P(Z ≤ -2.57)
P(Z ≤ 1.27) = 0.8980
P(Z ≤ -2.57) = 1 - P(Z ≤ 2.57) = 1 - 0.99488 = 0.00512
P(-2.57 ≤ Z ≤ 1.27) = 0.8980 - 0.00512 = 0.89288
0.8929 (4 d.p.)
Answer:
88.16 units
Step-by-step explanation:
The line at the far left is also = x
For right triangles
Tan (angle ) = opposite leg / adjacent leg
for this triangle tan 10 = x / 500
rearrange to x = 500 tan 10° = 88.16 units
