Answer:
10
Step-by-step explanation:
n is the number of selections and k the number selected, that is
n = 5 and k = 2
note that n! = n(n - 1)(n - 2) ..... × 3 × 2 × 1, thus

= 
= 
= 
= 10
Let's try all the answers with the above equation
a) 4 as p and -4 as q
4 - 4 = 8? INCORRECT
b) 10 as p and 1 as q
10 - 1 = 8? INCORRECT
c) -4 as p and 4 as q
-4 - 4 = 8? INCORRECT
d) 11 as p and 3 as q
11 - 3 = 8? correct
<span>–1 + 6(–1 – 3x) > –39 – 2x.
Multiply the number outside of the parenthesis(6) by the numbers inside of the parenthesis(-1 and -3x)
-1 - 6 - 18x> -39 - 2x
Add 2x to both sides so that the x variable is only on one side
-1 - 6 - 16x> -39
Add 1 to both sides
-6 - 16x> -38
Add 6 to both sides
-16x> -32
Divide both sides by -16 so that the only thing that remains is the variable x on one side. Also, since you are dividing by a negative number, you automatically flip the greater than side to less than.
Final Answer: x< -2</span>
Answer:
D.
Step-by-step explanation:
Statistics has a lot of usage in business.
Using statistics as well as statistical tools helps in the provision of data to be used for business analysis. With available data we can get patterns in a a large database. Statistics can be used for auditing, as in question option b. For option c, statistics can be used for making business forecasts after the careful observation of trends and patterns that are in the data.
Option d does not make use of statistics. It has nothing to do with statistics neither does it have a computational feature.
Therefore, d.) questioning the executive's strategic decision is the answer to this question
If each burger is 1/4 th of a pound, he can make a maximum of 35 hamburgers
3 from the 3/4ths and 32 from the 8
32+3 = 35