Answer:
4.4
Step-by-step explanation:
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

Hey there!
In order to solve this equation for y, you need to use addition, subtraction, and division to combine and simplify the terms. You do this by first eliminating the terms, which you do by completing whatever will make each term equal to zero. Then, you'll repeat this same thing on the other side of the equation, like so:
<span>5y + 3 = 2y – 3x + 5
– 3 – 3
</span>
5y = 2y – 3x + 2
As you can see, I subtracted three from +3 the left side to cancel it out, then repeated that on the right side to the similar term (the constant). Now, just repeat that with your other terms until your equation is equal to y.
5y = 2y – 3x + 2
+ 2y + 2y
<u>7y</u> = <u>–3x + 2</u>
7 7
y = <u>–3x + 2</u>
7
When you can't simplify any more, you have your answer. y will be equal to –3x + 2 over 7.
Hope this helped you out! :-)
Supplementary angles = 180°
so to find the supplement of a 123° angle:
180 - 123 = 57°
hope this helps and have a great day :)