A junior high principal runs a report to determine what ratio of all 100 students take the bus to school or are dropped off by parents, based on grade (seventh grade or eight grade). The results are shown in the following probability distribution table.
Grade vs.
Transportation Takes
Bus Parents
Drop off Total
Seventh Grader 0.44 0.12 0.56
Eighth Grader 0.11 0.33 0.44
Total 0.55 0.45 1
What is the probability that a student is in seventh grade, given that he/she is dropped off by parents?
0.27
0.38
0.22
0.73

The probability that a student is in seventh grade, given that he/she is dropped off by parents is option C) 0.22

Step-by-step explanation:

P(student is in 7th grade student is in seventh grade) = P(students in 7th grade) / P(7th grade students dropped by parents).

⇒ 0.12/0.56

⇒ 0.22

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2