Question

. A survey of 30 students is taken. 11 students say that mathematics is their favorite subject. Based on this survey, how many students out of 1,000 would you expect to say that mathematics is their favorite subject? Round the answer to the nearest 10.

Answer 1

Ok, so based on a survey - you know that out of 30 students, 11 said that their favourite subject is mathematics. :-)

This means that:

11/30 of these students think mathematics if their favourite subject.

Now, in order to answer your question, we are going to have to change the denominator of the fraction above to 1000. Whatever we do to the denominator of this fraction, we must do to the numerator of this fraction.

Example:

$\frac { 11 }{ 30 } \times \frac { \frac { 1000 }{ 30 } }{ \frac { 1000 }{ 30 } } \\ \\ =\frac { \frac { 11000 }{ 30 } }{ 1000 } \\ \\ =\frac { 366.\dot { 6 } }{ 1000 }$

This means that rounded to the nearest ten, theoretically speaking, 370 students out of 1000 would say that mathematics is their favourite subject.

Answer 2

1) find the percent: 11/30 = 36.67%
2) find 36.67% of 1000: 0.3667*1000 = 366.67
3) round to the nearest 10: 370

Final answer: 370 people.