Answer: 
Step-by-step explanation:
Given
The unit cost is given by

find the derivative of the unit cost and equate it to zero to obtain the minimum value

Substitute 140 for
in the cost function, we get
![C(140)=0.6[140]^2-168(140)+30,389\\C(140)=11,760-23,520+30,389\\C(140)=\$18,629](https://tex.z-dn.net/?f=C%28140%29%3D0.6%5B140%5D%5E2-168%28140%29%2B30%2C389%5C%5CC%28140%29%3D11%2C760-23%2C520%2B30%2C389%5C%5CC%28140%29%3D%5C%2418%2C629)
Answer:
Z - score = 2.83
Step-by-step explanation:
Given the following :
Number of samples (N) = 60
Sample mean (x) = 41.9mg
Population mean (μ) = 40mg
Population standard deviation (sd) = 5.2
Using the relation :
Z = (x - μ) / (sd / √N)
Z = (41.9 - 40) / (5.2 / √60)
Z = 1.9 / (5.2 / 7.7459666)
Z = 1.9 / 0.6713171
Z = 2.8302570
Therefore, the z-score = 2.83
Answer:
-12x^2+42x-6
Step-by-step explanation:
They are parallel when the slopes are the same
example:
y=2x+3
y=2x-5
to make it easier, convert 5 feet to x inches:
5*12=60
60+6=66
So, 66 inches.
Multiply 2.4 by 66:
2.4*66=158.4
So in inches, the answer is 158.4
In feet and inches, 13 feet and 2.4 inches.