Answer:
The answer is 350.
Step-by-step 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: 350
Step-by-step 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 : [tex]14+16+5+10=45[/tex]
Number of students prefer country or rock music= 14+16=30
Now, the proportion of students prefer country or rock music = [tex]\dfrac{30}{45}[/tex]
[tex]=\dfrac{2}{3}[/tex]
Total students in the school= 630
Predicted number of students in the school prefer country or rock music=
[tex]\dfrac{2}{3}\times630=420[/tex]
The proportion of students prefer classical music = [tex]\dfrac{5}{45}[/tex]
[tex]=\dfrac{1}{9}[/tex]
Predicted number of students in the school prefer classical music=
[tex]\dfrac{1}{9}\times630=70[/tex]
Now, the predicted number of students in the school prefer more country or rock music than prefer classical music = 420-70=350