754 minus 592 is 162 so estimated to the tens would be 160.
Step-by-step explanation:
4x2=−9x−4
Step 1: Subtract -9x-4 from both sides.
4x2−(−9x−4)=−9x−4−(−9x−4)
4x2+9x+4=0
For this equation: a=4, b=9, c=4
4x2+9x+4=0
Step 2: Use quadratic formula with a=4, b=9, c=4.
x=
−b±√b2−4ac
2a
x=
−(9)±√(9)2−4(4)(4)
2(4)
x=
−9±√17
8
x=
−9
8
+
1
8
√17 or x=
−9
8
+
−1
8
√17
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:
h = 6 units
Step-by-step explanation:
The formula for the volume of a tetrahedron is given as :
V = sh
Where
s is area of base and h is height
Put s = 8 and V = 48 to find h as follows :

So, the height of the tetrahedron is 6 units.