Two couples decide to eat out at a fancy restaurant. For Couple A, the probability that the guy forgets to bring money is 10%; the probability that the girl forgets is the same. For Couple B, the probability that the guy forgets to bring money is 7%; the probability that the girl forgets is the same. The event of forgetting to bring money is independent among all four individuals. Given that exactly two individuals forgot to bring money, calculate the probability that it was the two guys.

for the points! : )

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

the answer is 62.8 cubic units