Answer:

Step-by-step explanation:
apply exponent rule:

AED is adjacent to 44 and these two angles are supplementary, meaning they sum to 180 so...
AED=180-44=136°
a) For x = 27:
z = 27-28/2 = -0.5
For x = 31:
z = 31-38/2 = 1.5
From the normal distribution table, P(27 < x < 31) = P(-0.5 < z < 1.5) = P(z < 1.5) - P(z < -0.5) = 0.9332 - 0.3085 = 62.47%
b) For x > 30.2:
z = 30.2-28/2 = 1.1
From the normal distribution table, P(x > 30.2) = P(z > 1.1) = 1 - P(z > 1.1) = 1 - 0.8643 = 13.57%
You still want at most
(15x) + (22y) ≤ 100(-z) (equation used)
0 ≤ z ≤ 10 (amount you want to leave unspent)
y ≥ 1 (amount of dress shirt you need)
This is your system of equation, in which the numbers must fulfill both equations
hope this helps