Kris wanted to understand whether studentstudents 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 probability that the student is opposed to extending the school day is 0.3666 or 36.67% approx.

Step-by-step explanation:

Arranging the table properly and adding a column of total students.

                          In favor      Opposed      Undecided      Total students

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, this means we will only consider grade 10 students.

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

There are 11 students who are opposed and total students in grade 10 are 30.

So, probability is : or 36.67% approx.

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

use distributive property on all like terms and change your signs if you have a double negative or if you have positive/negative