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The piece of music is 6 minutes and 20 seconds long. How many bits are processed in total? Express your answer in scientific notation to 3 significant figures.

Question

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Solution

To answer this question, we need more information such as the bit rate of the music. The bit rate is the number of bits processed per second. For example, CD quality audio has a bit rate of 1,411,200 bits per second (or 1.4112 x 10^6 bits per second in scientific notation).

If we assume the music is CD quality, we can calculate the total bits processed as follows:

  1. Convert the length of the music to seconds: 6 minutes is 360 seconds, and 20 seconds is 20 seconds, so the total length is 380 seconds.
  2. Multiply the length of the music by the bit rate to find the total bits processed: 380 seconds * 1.4112 x 10^6 bits/second = 5.36256 x 10^8 bits.
  3. To express this in scientific notation to 3 significant figures, we round to 5.36 x 10^8 bits.

So, if the music is CD quality, approximately 5.36 x 10^8 bits are processed in total.

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