Solution -
The probability of getting 6 from a single roll of a fair dice = 
The probability of getting any other number rather than 6 would be 
So when the outcome is 6, then he wins $5 ,otherwise he has to pay $2
So
E(X) = Expectation value = 
( ∵ $5 gain so +ve and $2 loss so -ve)
=
∴ So Merrill will lose 
dollar
Answer:
Step-by-step explanation:
x^2+14x+45=0
x^2+(9+5)x+45=0
x^2+9x+5x+45
x(x+9)+5(x+9)=0
(x+9)(x+5)=0
either x+9=0 Or,x+5=0
x+9=0
x=0-9
x=-9
x+5=0
x=0-5
x=-5
therefore x=-9,-5
50% in 1/2 in fraction form
We know that
[Area of Polygon B]=[scale factor]²*[Area of Polygon A]
[scale factor]=5
so
[Area of Polygon B]=[5]²*[Area of Polygon A]
[Area of Polygon B]=[25]*[Area of Polygon A]
the answer is
the area of Polygon B than the area Polygon A is 25 times larger
6/7x-11/42=-1/7x-5/6
x-11/42=-5/6
x=-4/7
