Suppose that the numbers that the boy being cast from the dice are 3 4 5 6.
 3 stands for white, 4 stands for red, 5 stands for green and 6 stands for blue.
  We need to interpret the statement given above.   The set of numbers is 3 4 4 6 6 5.
First, we need to get the mean of this set. Add all the numbers and divide by the total number that the set has. 
 3+4+4+6+6+5=  28 / 6
                        = 4.67    The mean is 4.67
For the variance, we will use the mean above ( 4.67 )
1. Squared the mean and subtract how many numbers are present in the set. 
   4.67x4.67= 21.8089 /6 = 3.64 set aside this result
2. Next squared all the numbers present in the set and add the result 
  3x3= 9 , 4x4= 16, 4x4=16, 6x6=36, 6x6=36, 5x5=25
9+16+16+36+36+25= 138 
3. Subtract the result of #2 with #1
          138 - 3.64=  134.36 set this aside
4. Subtract 1 from the total numbers you have in your set
 6 - 1= 5 
5. Divide the result we have in #3 with the result of #4
  134.36 / 5= 26. 872
So the variance is 26.872 
        
             
        
        
        
Answer:

Step-by-step explanation:
Given - The circumference of the ellipse approximated by  where 2a and 2b are the lengths of 2 the axes of the ellipse.
where 2a and 2b are the lengths of 2 the axes of the ellipse. 
To find - Which equation is the result of solving the formula of the circumference for b ?
Solution -

Squaring Both sides, we get
![[\frac{C}{2\pi }]^{2}   =  [\sqrt{\frac{a^{2} + b^{2} }{2} }]^{2} \\\frac{C^{2} }{(2\pi)^{2}  }   =  {\frac{a^{2} + b^{2} }{2} }\\2\frac{C^{2} }{4(\pi)^{2}  }   =  {{a^{2} + b^{2} }](https://tex.z-dn.net/?f=%5B%5Cfrac%7BC%7D%7B2%5Cpi%20%7D%5D%5E%7B2%7D%20%20%20%3D%20%20%5B%5Csqrt%7B%5Cfrac%7Ba%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%7D%7B2%7D%20%7D%5D%5E%7B2%7D%20%5C%5C%5Cfrac%7BC%5E%7B2%7D%20%7D%7B%282%5Cpi%29%5E%7B2%7D%20%20%7D%20%20%20%3D%20%20%7B%5Cfrac%7Ba%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%7D%7B2%7D%20%7D%5C%5C2%5Cfrac%7BC%5E%7B2%7D%20%7D%7B4%28%5Cpi%29%5E%7B2%7D%20%20%7D%20%20%20%3D%20%20%7B%7Ba%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%7D)

∴ we get

 
        
             
        
        
        
Answer:
The answer should be 36, unless there is a typo