Answer:
About 65.86 degrees
Step-by-step explanation:
A supplementary angle means that the angles add to 180 degrees.
Angle E + Angle F = 180 degrees.
You can then plug in the given equations for E and F.
2x + 5 + 5x - 38 = 180
Combine like terms:
2x + 5x = 7x
5 - 38 = -33
New equation: 7x-33=180
Remove the -33 from the left side of the equation by adding 33 to each side
7x-33+33 = 180+33 ---> 7x = 213
Divide by 7 on each side
7x/7 = 213/7 ---> x = about 30.43
You can then plug this into your equation for E and solve
2(30.43) + 5 = 65.86 Degrees
The answer is A. Hope this helps!
Answer with Step-by-step explanation:
Since the demand is normally distributed the required probability can be found from the area under the normal distribution curve as
Part a)
Given mean = 4500 yards per month
Standard deviation = 900 yards
Thus area under the curve corresponding to 6000 yards is found from the standard variate factor Z as

Area for Z = 1.67 = 95.22%
Thus the probability that the demand will be met is 0.9522 hence the probability that the demand will not be met is 
Part b)
The reuired answer is area between 5000 and 7000 yards in the normal distribution curve thus we have
.

The area between these 2 values is 49.73% hence the reuired probability is 0.4973.
Part c)
For 97% satisfaction of demand the Z factor corresponding to 97% of area is found to be 1.88
thus we can write
