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a producer created a video of the highlights from a tennis match.a total of 160 minutes of footage of the match was recorded,to the nearest 10 minutes.to form the highlights video,the producer cut 110 minutes of this footage,to the nearest 5 minutes.work out the lower and upper bounds of the length of the highlights video.give your answer in minutes.

2 Answers

4 votes

Explanation:

so, the total recording length of 160 minutes is a rounded number - to the nearest 10 minutes.

that means the actual recording length was between 155 and 165 minutes.

then he cut 110 minutes, which is again a rounded number to the nearest 5.

so, he cut between 107.5 to 112.5 minutes.

to find the resulting possible interval of the length of the remaining video we have to subtract the maximum of the cut from the minimum of the original video, and the minimum of the cut from the maximum of the original video.

so, the length of the highlights video will be between

155 - 112.5 and 165 - 107.5 =

42.5 and 57.5 minutes.

and because our rounding convention is to round up when hitting precisely the middle between two rounding limits, none of the interval ends are included, and therefore neither are the interval ends of our result :

42.5 minutes < highlights length < 57.5 minutes

it must have been a great match, as the highlights video is still a very long video even in its shortest form.

User Luan D
by
9.0k points
6 votes

Answer:

the screenshot

Explanation:

im pretty sure it explains it

a producer created a video of the highlights from a tennis match.a total of 160 minutes-example-1
User Jensey
by
7.7k points