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liraira [26]
3 years ago
9

Question is shown below.

Mathematics
1 answer:
Andrei [34K]3 years ago
3 0

ANSWER

D. 4 minutes 40 seconds

EXPLANATION

The given data set showing the number of seconds of each song the playlist is:

283,204,198,229,173,230,168,236,215,204

Let the length of the 11th song be x.

Because he wants the mean to be 3 minutes 40 seconds, which is equal to 220 seconds, we write and solve the following equation for x.

\frac{283 + 204 + 198 + 229 + 173 + 230 + 168 + 236 + 215 + 204 + x}{11}  = 220

\frac{2140 + x}{11}  = 220

2140 + x = 2420

x = 2420 - 2140

x = 280

We convert 280 seconds to minutes.

\frac{280}{60}  = 4 \frac{2}{3}  = 4mins : 40 sec

The correct choice is D

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