2 students at Central Middle School were polled about their activities. The poll showed that 48% of students play a musical Instrument, and 39% of students play a musical Instrument and are on a sports team. What is the probability that a student is on a sports team given that the student plays a musical Instrument?

81.25%  probability that a student is on a sports team given that the student plays a musical Instrument

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

In which

P(B|A) is the probability of event B happening, given that A happened.

is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Playing a musical instrument.

Event B: Being on a sports team.

48% of students play a musical Instrument

This means that

39% of students play a musical Instrument and are on a sports team.

This means that

What is the probability that a student is on a sports team given that the student plays a musical Instrument?

81.25%  probability that a student is on a sports team given that the student plays a musical Instrument

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

17

step-by-step explanation: