Answer:
The probability that a Tech High student fails math is 0.1006
Step-by-step explanation:
21% students are taking class with Mary.
Every year 4% of Mary’s students fail,
15% students are taking class with Tom
Every year 6% of Tom’s students fail.
64% students are taking class with Alex
Every year 13% of Alex's students fail.
Now we are supposed to find the probability that a Tech High student fails math.
Hence the probability that a Tech High student fails math is 0.1006
Explanation:
Refer to the diagram below. The point (-4,3) marked in red is outside the blue shaded region. So it doesn't make both inequalities true, and therefore not considered a solution.
In contrast, a point like (-5,1) is a solution as it is in the shaded region.
Put another way, the set of all solution points must be below both the solid line and the dashed line. Points can be on the solid line, but must be adjacent to the blue shaded region. The fact (-4,3) is on the solid line doesn't count because its not below the dashed line.
