31/8 as a mixed number is :
Answer:
IJ=JG= 20
J1=J2= 90°
HJ= HJ
SO:
HI= HG
s= 3s-54
2s= 54
(s= 27)
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Given that the revenue equation is

and the cost equation is

Part A:
At break-even the cost is equal to the revenue.
Thus, the algebraic equation needed to determine when the company will break even is given by

Part B:
The solution to part A is given as follows:

Part C:
<span>The algebraic inequality needed to indicate that the revenue is greater than the cost is given by

Part D:
</span>The solution to part C is given as follows:

Part E:
The answer in part D tells us that the the company will make a profit when the produce more than 5000 cards.
Answer:
2/7
Step-by-step explanation:
For the president position, there are 4 females from a total of 7 people.
For the vice president position, there are 3 males from 6 people left over.
So the probability is 4/7 × 3/6 = 2/7.
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P(X=1) = 0.09
P(X < 5) = 0.09 + 0.36
P(X >= 2) = .36 + .23 + .09 + .23
P(2 <= X <= 7) = .36 + .23