Find the missing probability. P(A)=25,P(B|A)=920,P(A∩B)=?

Assuming you meant to say P(A) = 2/5 and P(B|A) = 9/20, then,

P(A∩B) = P(A)*P(B|A)

P(A∩B) = (2/5)*(9/20)

P(A∩B) = (2*9)/(5*20)

P(A∩B) = (2*9)/(5*2*10)

P(A∩B) = 9/(5*10)

P(A∩B) = 9/50 is the answer

answer:

we have to find which graph represents the graph of the system of equations as:

       

and  

the graph of the equation (1) is a downward parabola( since the leading coefficient is negative) given as:

also the maximum value attained by the parabola is 2.

since when x=0 we get the maximum value.

also the graph of the second equation is a circle centered at the origin and radius 3.

since we know that the general equation of the circle centered at origin and   radius 'r' is given as:

hence, the graph that shows the system is attached to the answer.