Answer:
B. 63
Step-by-step explanation:
Answer: Sensitivity Analysis. The notion of duality is one of the most important concepts in linear programming. Basically, associated with each linear programming problem (we may call it the primal. problem), defined by the constraint matrix A, the right-hand-side vector b, and the cost.
Step-by-step explanation:
Answer: The width of the leftover brass is 17 inches.
Step-by-step explanation:
Hi, to answer this question, first, we have to add the width of the pieces cut.
Mathematically speaking:
8 in +8 in = 16 in
Now, we have to subtract that result to the width of the sheet of brass.
33 in -16 in = 17 in
The width of the leftover brass is 17 inches.
Feel free to ask for more if needed or if you did not understand something.
Answer:
-1
Step by step explanation:
Rearrange terms
-6x+7(-x+1)=4(x-4)
Distribute
-6x - 7x + 7 = - 4(x-4)
Combine like terms:
−13+7=−4(−4)
Distribute:
−13+7=−4+16
Subtract 7 from both sides of the equation
−13+7−7=−4+16−7
Simplify
−13=−4+9
Add 4x to both sides of the equation
−13+4=−4+9+4
Simplify
Combine like terms
Combine like terms
−9=9
Divide both sides of the equation by the same term
9x/-9 = 9/-9
Simplify
X= -1
Answer:
Test scores of 10.2 or lower are significantly low.
Test scores of 31 or higher are significantly high
Step-by-step explanation:
Z-score:
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

Significantly low:
Z-scores of -2 or lower
So scores of X when Z = -2 or lower




Test scores of 10.2 or lower are significantly low.
Significantly high:
Z-scores of 2 or higher
So scores of X when Z = 2 or higher




Test scores of 31 or higher are significantly high