Answer: There is no mode.
Step-by-step explanation:
The mode is the number in a data set that occurs most frequently. Count how many times each number occurs in the data set. The mode is the number with the highest tally. It's ok if there is more than one mode. And if all numbers occur the same number of times there is no mode.
Hope this helps!
Answer:

Step-by-step explanation:
Given:

Required
Multiply
The above can be written as

Split the above expression

Collect like terms

Apply first law on indices



Hence,
is equivalent to 
Answer:
%82.5
Step-by-step explanation:
- The final exam of a particular class makes up 40% of the final grade
- Moe is failing the class with an average (arithmetic mean) of 45% just before taking the final exam.
From point 1 we know that Moe´s grade just before taking the final exam represents 60% of the final grade. Then, using the information in the point 2 we can compute Moe´s final grade as follows:
,
where FG is Moe´s Final Grade and FE is Moe´s final exam grade. Then,
.
So, in order to receive the passing grade average of 60% for the class Moe needs to obtain in his exam:

That is, he need al least %82.5 to obtain a passing grade.
1.9
9.5% = 0.095
0.095* 20 = 1.9
Imagine the graph of f(x)=|x|. This can only output positive values (

).
Then f(x)=|x|+2 is the same graph shifted upwards by two units meaning it can only output values bigger or equal to than 2. So the range is