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Question in photo. Please explain it too

Question in photo. Please explain it too-example-1

1 Answer

4 votes

Answer: C) 44 minutes

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Step-by-step explanation:

Let's say that all of the 11 songs are 2 minutes each, which is just a bit under the "2 minute 1 second" mark of the shortest song. I'm going for the lowest time value possible and rounding to the nearest minute.

This would mean the entire album is 2*11 = 22 minutes long. This is the lower bound or the shortest the album can be.

If we go to the other end of the spectrum, and say each song is 6 minutes (I rounded "5 minutes 37 seconds" up to the nearest minute), then the album is now 6*11 = 66 minutes long. This is the upper bound or the longest the album can be.

While we don't know how long the album is exactly, due to the fact we don't know the individual song lengths (other than the shortest and longest songs), we do know 100% that the album length is somewhere between 22 minutes and 66 minutes.

In other words, 22 < x < 66 where x is the album length in minutes.

Of the four answer choices, 44 is the only one that fits, i.e. 22 < 44 < 66.

So I would say 44 minutes is a reasonable estimate. Or better yet, we can rule out 4 minutes, 88 minutes and 10 minutes as they don't fit in the interval 22 < x < 66.

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