Answer:
26in
Step-by-step explanation:
Volume of a cylinder = πr²h
Given
height h = 14in
Volume = 7433in³
Required
base d = 2r
r is the radius
get the radius r
7433 = 3.14 * 14r²
7433 = 43.96r²
r² = 7433/43.96
r² = 169.08
r = 13.00
Since the base d = 2r
d = 2(13)
d = 26in
Hence the base of the cylinder is 26in
C is the answer. Congruent is just a synonym of similar therefore C is the answer.
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.
I think that this is just showing how you can make different percentages by multiplying/dividing by specific numbers.
E) 12 minutes
A normal curve has approximately 95% of graph between mean - 2sd and mean + 2sd
So 95% of the times will be between 0 and 12 minutes. 6 - 2x3 to 6 + 2x3
2.5% will take over 12 minutes
Strangely 2.5% will also take less than 0 minutes to process which shows the normal curve is not perfect in this example.
