Ruth is studying characteristics of popular American songs from 1900 to 1945. Ruth gets a list of 500 songs from this era. Ruth wants to select 30 songs to include in her sample. Which of these methods will result in a random sample? Please answer, I need the answer quick!

Ruth wants to select 30 songs out of 500 total songs for a sample, this means that we want to have a random selection of the 30 songs out of the 500 (in this way we avoid to have a biased sample)

The options are not given, but an example of a method that will result in a random sample may be assigning to each one of the 500 songs a number between 1 and 500. And for each one of those numbers, Ruth may write the number in a piece of paper, then put the 500 papers in a bag, and selecting 30 pieces of paper at random from the bag. The 30 numbers selected will be the 30 songs of the sample.

So you need to have a method where each song has the same probability, 1/500, of being selected.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

step-by-step explanation:

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