Answer:
The value of ROE that will be exceeded by 78% of the firms is -1.77%.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
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:
The mean ROE for the firms studied was 14.93% and the standard deviation was 21.74%. This means that 
What value of ROE will be exceeded by 78% of the firms?
This is the value of X when Z has a pvalue of 1-0.78 = 0.22.
This is 
So:




The value of ROE that will be exceeded by 78% of the firms is -1.77%.
Answer:
-4x + y + 6z
Step-by-step explanation:
Combine like terms (Terms with the same variable):
(2x + 5y - z) + (-6x - 4y + 7z)
Add straight across:
2x - 6x = -4x
5y - 4y = y
-z + 7z = 7z - z = 6z
-4x + y + 6z is your answer.
~
Answer:
-x+6
Step-by-step explanation:
3(x+2)-4x
3x+6-4x
-x+6
Answer:
k= -4
Step-by-step explanation: