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Answer :
To find the total number of seconds the playlist will play, we need to follow these steps:
1. Identify the number of songs and their average length:
- Jim has 1,900 songs.
- Each song has an average length of 3.5 minutes.
2. Convert the average length from minutes to seconds:
- Since each minute has 60 seconds, we can convert 3.5 minutes to seconds by multiplying:
[tex]\[
3.5 \, \text{minutes} \times 60 \, \text{seconds per minute} = 210 \, \text{seconds}
\][/tex]
3. Calculate the total time for all songs in seconds:
- Multiply the number of songs by the average length in seconds:
[tex]\[
1,900 \, \text{songs} \times 210 \, \text{seconds per song} = 399,000 \, \text{seconds}
\][/tex]
4. Express the total time in scientific notation:
- The scientific notation for 399,000 is [tex]\(3.99 \times 10^5\)[/tex].
Therefore, the correct answer is [tex]\(3.99 \times 10^5\)[/tex] seconds.
1. Identify the number of songs and their average length:
- Jim has 1,900 songs.
- Each song has an average length of 3.5 minutes.
2. Convert the average length from minutes to seconds:
- Since each minute has 60 seconds, we can convert 3.5 minutes to seconds by multiplying:
[tex]\[
3.5 \, \text{minutes} \times 60 \, \text{seconds per minute} = 210 \, \text{seconds}
\][/tex]
3. Calculate the total time for all songs in seconds:
- Multiply the number of songs by the average length in seconds:
[tex]\[
1,900 \, \text{songs} \times 210 \, \text{seconds per song} = 399,000 \, \text{seconds}
\][/tex]
4. Express the total time in scientific notation:
- The scientific notation for 399,000 is [tex]\(3.99 \times 10^5\)[/tex].
Therefore, the correct answer is [tex]\(3.99 \times 10^5\)[/tex] seconds.
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