MATH SOLVE

4 months ago

Q:
# Suppose a company produces report indicates that the surveyed distance between two points is 1200 feet with a margin of error of ±0.1 feet. What are the maximum and minimum distances that the reader could assume based on the surveyed distance and margin of error?

Accepted Solution

A:

Hello!The answers are:[tex]MaximumDistance=1200.1ft\\MinimumDistance=1199.9ft[/tex]Why?Since we are given the margin of error and it's equal to ±0.1 feet, and we know the surveyed distance, we can calculate the maximum and minimum distance. We must remember that margin of errors usually involves and maximum and minimum margin of a measure, and it means that the real measure will not be greater or less than the values located at the margins.We know that the surveyed distance is 1200 feet with a margin of error of ±0.1 feet, so, we can calculate the maximum and minimum distances that the reader could assume in the following way:[tex]MaximumDistance=ActualDistance+0.1feet\\\\MaximumDistance=1200feet+0.1feet=1200.1feet[/tex][tex]MinimumDistance=ActualDistance-0.1feet\\\\MaximumDistance=1200feet-0.1feet=1199.9feet[/tex]Have a nice day!