Answer:
4 students would be eligible for the scholarships
Step-by-step explanation:
 
        
             
        
        
        
Answer:
The total number of samples that give this outcome is 5. 
Step-by-step explanation:
Since Y takes values in {0,1,2,3}, For us to have that  implies that all of them are zero but one. The one that is non-zero necessarily is equal to 1. To calculate the number of samples that give this outcome is equivalent to counting the total number of ways in which we can pick the i-index such that
 implies that all of them are zero but one. The one that is non-zero necessarily is equal to 1. To calculate the number of samples that give this outcome is equivalent to counting the total number of ways in which we can pick the i-index such that  . Note that in this case we can either choose Y1 to be 1, Y2 to be 1 and so on. So, the total number of samples that give this outcome is 5.
. Note that in this case we can either choose Y1 to be 1, Y2 to be 1 and so on. So, the total number of samples that give this outcome is 5. 
 
        
             
        
        
        
Answer:
Please check the explanation.
Step-by-step explanation:
Given the verbal expression
''Thirteen less than twice the sum of a number and six is 47''.
Let us break down the verbal expression into an algebraic equation
- Sum of twice the number and six = 2n+6
- Thirteen less than twice the sum of a number and six = 2n+6-13
And finally
Thirteen less than twice the sum of a number and six is 47:
2n+6-13 = 47
Therefore, the equation is:
Solving the algebraic expression 
solving the equation for 'n'


Add 7 to both sides

Simplify

Divide both sides by 2

Simplify

 
        
             
        
        
        
ANSWER :
14x-x^2 = 33
Step-by-step explanation:
x(14-x) = 33
14x-(x)^2 = 33