Question

A survey of a random sample of students found that 14 preferred

country music, 16 preferred rock, 5 preferred classical, and 10
preferred pop. There are 630 students in the school. Predict how many
more students in the school prefer country or rock music than prefer
classical music. 7.SP.2

Answer 1

The answer is 350.

Explanation:

Sorry, I tried to answer this question before but I had to do some family stuff, so I can't really give a detailed explanation. But in order to find it you need to know how to work with proportions or samples in probability.

Once again sorry.

Answer 2

Answer: 350

Explanation:

Given : A survey of a random sample of students found that 14 preferred

country music, 16 preferred rock, 5 preferred classical, and 10

preferred pop.

Sample size :
`14+16+5+10=45`

Number of students prefer country or rock music= 14+16=30

Now, the proportion of students prefer country or rock music =
`(30)/(45)`

`=(2)/(3)`

Total students in the school= 630

Predicted number of students in the school prefer country or rock music=

`(2)/(3)*630=420`

The proportion of students prefer classical music =
`(5)/(45)`

`=(1)/(9)`

Predicted number of students in the school prefer classical music=

`(1)/(9)*630=70`

Now, the predicted number of students in the school prefer more country or rock music than prefer classical music = 420-70=350