Four dice, each numbered in the usual way from 1 to 6, are colored white, red, green and blue respectively. after casting them a boy scored in the following way. to the white numbered he adds twice the red and blue numbered and then subtract the green numbered. assume that the boy casts the dice large number of times; calculate the mean and variance of scores.

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 

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph

there is a hike in both the graphs so the graphs are increasing on their domain.x-intercept of log x and log 6x are differentthere is a vertical asymptote of both the graphs so there is no y-interceptas both the graphs are increasing so there is no horizontal asymptote