Step 1 :
Equation at the end of step 1 :
((6x + 3) - 2 • (x + 1)) + 5
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
4x + 6 = 2 • (2x + 3)
Final result :
2 • (2x + 3)
Answer: The correct answer is: [B]:
_________________________________________
"
" .
_________________________________________
Step-by-step explanation:
_________________________________________
Note: A number; "divided by a variable" ; is Not a "polynomial" .
Answer choice: [B]: "
" ;
is a "number; divided by a "variable" ; and as such, is Not a "polynomial".
_________________________________________
<span>If scores on a dental anxiety scale range from 0 (no anxiety) to 20 (extreme anxiety), and the scores are normally distributed with a mean of 1111 and a standard deviation of 44, then the z-score for the given score on this dental anxiety scale:9 is .08.
</span>
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%.
Hypothenus = sqrt ((x^2 - y^2)^2 + (2xy)^2) = sqrt(x^4 - 2x^2y^2 + y^4 + 4x^2y^2) = sqrt(x^4 + 2x^2y^2 + y^4) = sqrt(x^2 + y^2)^2 = x^2 + y^2