Negative StartFraction one-half EndFraction y equals StartFraction one-half EndFraction x plus 5 and y equals 2 x plus 2.Y = x + 5 and y = 2x + 2.

The solution of the system of equation is (3,8)

Step-by-step explanation:

We are given that

...(1)

...(2)

We have to graph the system of linear equation.

For equation (1)

Substitute x=0

Substitute y=0

Therefore, we obtained two points  (0,5) and (-5,0) for equation (1).

For equation (2)

Substitute x=0

Substitute y=0

Therefore, we obtained two points  (0,2) and (-1,0) for equation (2).

Now, we find intersection point of two equation

Substract equation (2) from (1)

Substitute x=3 in equation (1)

The intersection point of two equation is at (3,8).

Hence, the solution of given system of equation is (3,8).

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0