The probability that a high school student in in the marching band is 0.47
so, 
The probability that a student plays a varsity sport is 0.32
so, 
the probability that a student is in the marching band and plays a varsity sport is 0.24
so, we get
P(M∩V)=0.24
a student plays a varsity sport if we know she is in the marching band
so,
P(V|M)=(P(V∩M))/(P(M))
now, we can plug values
and we get


So,
the probability that a student plays a varsity sport if we know she is in the marching band is 0.51063......Answer
Given:
Side length = 12 in
To find:
The area of the regular polygon.
Solution:
Number of sides (n) = 6
Let us find the apothem using formula:

where s is side length and n is number of sides.




Area of the regular polygon:




in²
The area of the regular polygon is 374.1 in².
3(2)-18=-12
6-18 = -12
-12 = -12
6%(5) = .30 6%
...........................................