Francis surveyed a random sample of 707070 students at franklin high school about their favorite season. of the students surveyed, 181818 chose fall as their favorite season. there are 181618161816 students at franklin high school. based on the data, what is the most reasonable estimate for the number of students at franklin high school whose favorite season is fall?

the number of students at Franklin High School whose favorite season is fall is 467

Approx 467 students is the answer.

Step-by-step explanation:

Francis surveyed a random sample of 70 students at Franklin High School about their favorite season.

Of the students surveyed, 18 chose fall as their favorite season.

There are 1816 students at Franklin High School.

Now, students chose fall as their favorite season.

This comes to 0.257 percent.

We can say that 0.257 % of 1816 students can like fall season.

= 466.712 ≈ 467 students. (approx)

Therefore, the most reasonable estimate for the number of students at Franklin High School whose favorite season is fall is 467.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.