there are 300 seventh - grade students at amayas school. a random sample of seventh - graders were asked if…

there are 300 seventh - grade students at amayas school. a random sample of seventh - graders were asked if they usually buy lunch from the cafeteria or bring lunch from home. the results showed that 9 students in the sample buy lunch and 16 students bring lunch. write an expression you can use to estimate the number of seventh - grade students who do not buy lunch from the cafeteria.

there are 300 seventh - grade students at amayas school. a random sample of seventh - graders were asked if they usually buy lunch from the cafeteria or bring lunch from home. the results showed that 9 students in the sample buy lunch and 16 students bring lunch. write an expression you can use to estimate the number of seventh - grade students who do not buy lunch from the cafeteria.

Answer

Explanation:

Step1: Calculate sample - non - cafeteria proportion

The total number of students in the sample is $9 + 16=25$. The number of students who do not buy lunch from the cafeteria is 16. So the proportion of students who do not buy lunch from the cafeteria in the sample is $\frac{16}{25}$.

Step2: Estimate for all seventh - graders

To estimate the number of seventh - grade students who do not buy lunch from the cafeteria out of 300 students, we multiply the proportion from the sample by the total number of seventh - grade students. The expression is $\frac{16}{25}\times300$.

Answer:

$\frac{16}{25}\times300$