<u>Given</u>:
The given expression is 
We need to determine the factor of the given expression.
<u>Factor</u>:
Let us rewrite the given expression.
Thus, we have;

Since, the above expression is of the form
, let us apply the identity 
Thus, we have;
------ (1)
Now, we shall factor the term 


Substituting the above expression in equation (1), we have;

Therefore, the factor of the given expression is 
Hence, Option B is the correct answer.
<u>Answer:</u>
The chance that any single department is chosen for auditing in a given week is 0.04%
<u>Explanation:</u>
Given that a department within an agency is randomly chosen per week for auditing and we are given total number of departments are 25 departments of which 1 is to be chosen.
Now chance of any single department to be chosen in any particular week will be given by 1 dividing by total no. of departments
which is equal to 1/25
1/25 = 0.04%
which is the chance of percentage of choosing a department
If you mean the quantity of ways to dress John,
he can choose any one of his 12 pairs of socks to combine with any one of his 3 pairs of shoes and any one of his 5 pairs of pants and any one of his 5 <span>shirts.
12 </span>ways to choose pair of socks and 3 ways to choose pair of shoes and 5 ways to choose pant and also 5 ways to choose a shirt.
12*3*5*5=900.
900 ways to dress him...
43.586
nearest 10th= 43.6
nearest 100th= 43.59
nearest 1 =44<span />