Answer:
14,130 feet³
Step-by-step explanation:
2r=d
2r=30
r=15
Formula for the volume of a cone is: 
π
²
=
14,130 feet³
Answer:
His actual score is 15
Step-by-step explanation:
Here, we are interested in calculating Wayne’s actual score on the ACT
when we say the scores have being standardized, it means the score was reported in terms of the z-score and not the initial raw scores.
Now, mathematically, for the scores to have a negative z-score, it means it is actually below the mean.
The formula for the z-score or standard score is given below;
z-score = (x - mean)/SD
where in this case, x = ? which is the score we are looking for , z-score = -0.5 , mean score = 18 and standard deviation of the scores = 6
So, substituting these values into the z-score equation, we have;
-0.5 = (x-18)/6
x-18 = 6(-0.5)
x -18 = -3
x = -3 + 18
x = 15
Answer:
Step-by-step explanation:
Let's start by using change of base property:
So, for 
Now, using change of base for 
You can express 
as:
Using reduction of power property:
Therefore:
As you can see the only difference between (1) and (2) is the coefficient 
:
So:
Answer:
8x6x4=192. So, the answer is 192.
Answer:
www.mahtpapa.com
Step-by-step explanation:
