the student council is considering holding a fundraiser to buy a new school sign. the council asks abdul to…

the student council is considering holding a fundraiser to buy a new school sign. the council asks abdul to conduct a random survey of students to see what they think of the idea. so far, 15 students think a new school sign is a good idea and 6 students do not. abdul wants to ask 40 more students. based on the data, estimate how many of the next 40 students surveyed will think the sign is a good idea. if necessary, round your answer to the nearest whole number. students

the student council is considering holding a fundraiser to buy a new school sign. the council asks abdul to conduct a random survey of students to see what they think of the idea. so far, 15 students think a new school sign is a good idea and 6 students do not. abdul wants to ask 40 more students. based on the data, estimate how many of the next 40 students surveyed will think the sign is a good idea. if necessary, round your answer to the nearest whole number. students

Answer

Explanation:

Step1: Calculate the proportion of students who like the idea

The total number of students surveyed so far is $15 + 6=21$. The proportion of students who think the new - school sign is a good idea is $\frac{15}{21}=\frac{5}{7}$.

Step2: Estimate the number of students who like the idea in the next 40 students

Multiply the proportion by the number of new students to be surveyed. Let $x$ be the number of students who think the sign is a good idea among the 40 new students. Then $x=\frac{5}{7}\times40=\frac{200}{7}\approx29$.

Answer:

29