Answer:
 
And replacing we got:

Step-by-step explanation:
Let X the random variable of interest, on this case we now that:
 
The probability mass function for the Binomial distribution is given as:
 
Where (nCx) means combinatory and it's given by this formula:
 
And we can find this probability:

And we can solve this probability like this:

And if we use the probability mass function we got:
 
And replacing we got:

 
        
             
        
        
        
The shaded area = the arced area - the area of the triangle
The arced area = (120/360) * pi * 6^2 = 12pi
The height of the triangle is 6*sin60 = 3√3
So the area of the triangle is 1/2 * 6 * 3√3 = 9√3
So the shaded area = 12pi - 9√3
        
             
        
        
        
Answer:
If pi is used as pi 113.1
or
If 3.14 is used as pi 113.04
Step-by-step explanation:
A = pi(r)²
 
        
             
        
        
        
4x+499=660
X=40.25
X equeals the amount for each game.
        
             
        
        
        
A ratio that compares two quantities measured in different units is a conversion factor!