The volume of the space not filled by the sphere is the difference between the volume of a cube with edge length 6 inches and the volume of a sphere with radius 3 inches.
<h3><u>Cube</u></h3>
The volume of a cube of edge length s is
... V = s³
When the edge length is 6 in, the volume is
... V = (6 in)³ = 216 in³
<h3><u>Sphere</u></h3>
The volume of a sphere with radius r is
... V = (4/3)π·r³
When the radius is 3 in, the volume is
... V = (4/3)π·(3 in)³ = 36π in³
<h3><u>Space</u></h3>
Then the volume of the space between the cube and the sphere is
... Vcube - Vsphere = 216 in³ - 36π in³ ≈ 102.9 in³ . . . . corresponding to choice C
 
        
             
        
        
        
Answer:

And we can use the probability mass function and we got:
 
 
And replacing we got:

Step-by-step explanation:
Let X the random variable of interest "number of graduates who enroll in college", 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:  
 
  
We want to find the following probability:

And we can use the complement rule and we got:

And we can use the probability mass function and we got:
 
 
And replacing we got:

 
        
             
        
        
        
Answer:
We taking the same final exam 
Step-by-step explanation:
I don’t know the answer that’s why I came here