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

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .