There are 1200 students at Sophie’s school. One student’s name will be drawn at random to win a new bike. Hannah and Ethan are Sophie’s best friends. What is the probability that
Sophie, Hannah, or Ethan will win the bike?

1. Describe the sample space for this problem.
2. Which outcome (or outcomes) of the sample space composes the event?

1/400

Step-by-step explanation:

3/1200 = 1/400

1) Sample space would consist of the 1200 names of the students

2) out of those 1200 outcomes, this event composes of three outcomes which are:

1) Sophie

2) Hannah

3) Ethan

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18