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The incomplete table above summarizes the number of left-handed students and rig

ID: 3196319 • Letter: T

Question

The incomplete table above summarizes the number of left-handed students and right-handed students by gender for the eighth grade students at Keisel Middle School. There are 5 times as many right-handed female students as there are left-handed female students, and there are 9 times as many right-handed male students as there are left-handed male students. if there is a total of 18 left-handed students and 122 right-handed students in the school, which of the following is closest to the probability that a right-handed student selected at random is female? (Note: Assume that none of the eighth-grade students are both right-handed and left-handed.)

Explanation / Answer

Right handed female=5x if left handed females=x

RIght handed male=9y if left handed male=y

5x+9y=122

x+y=18

Solving,

5x+5y=90

Subtracting,

4y=32

y=8

and x=10

Probability(female/right)=5*x/122=5*10/122=0.4098