Kris wanted to understand whether students at her school were in favor of an extended school day. she surveyed some students and displayed the results in the table below: in favor opposed undecided grade 9 6 4 8 grade 10 10 11 9 grade 11 12 15 11 grade 12 15 6 14 if the principal randomly selects a student in grade 10 from this survey, what is the probability that the student is opposed to extending the school day?

the table below:

Grade        In favor  OpposedUndecided    Total

Grade 9     6                   4                       8                18

Grade 10     10        11                        9                30

Grade 11     12        15                      11                  38

Grade 12     15        6                      14                  35

If the principal randomly selects a student in grade 10 from this survey,

the probability that the student is opposed to extending the school day

P ( student in grade 10 is opposed)= Number of student in opposed(grade10) / total number of students in grade 10

Number of student opposed who is in grade10 = 11

total number of students in grade 10 = 30

P( student in grade 10 is opposed)=  

= 0.37

the probability that the student is opposed to extending the school day= 0.37

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x