Find the probability of each event. Answer IN FRACTION form.

There are eleven songs on your playlist. Seven of them are country and four are pop. With random shuffle and no repetition, you listen to seven songs. What is the probability that you listened to all country songs?

1/330

Step-by-step explanation:

Number of country songs= 7

Number of pop songs = 4

Total number of songs = 11

Probability that the first song listened to is would be a country:

= 7/11.

Pr (2nd song) = 6/10

Pr (3rd song) = 5/9

Pr (4th song) = 4/8

Pr (5th song) = 3/7

Pr (6th song) = 2/6

Pr (7th song) = 1/5

= 7/11 * 6/10 * 5/9 * 4/8 * 3/7 * 2/6 * 1/5

= 7/11 * 3/5 * 5/9 * 1/2 * 3/7 * 1/3 * 1/5

= 1/ 330

Math is fun

(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

21

step-by-step explanation: