Assuming that a typical popular music CD comprises 12 songs each of 8500 KB, what would the effective transmission speed need to be capped at in order to extend the download time to 2 hours? Express your final answer in bits per second, using scientific notation correct to two decimal places
To calculate the effective transmission speed needed to extend the download time to 2 hours, we need to determine the total size of the music CD and then divide it by the desired download time.
First, let's calculate the total size of the music CD:
12 songs x 8500 KB/song = 102,000 KB
To convert KB to bits, we multiply by 8 (since there are 8 bits in a byte):
102,000 KB x 8 = 816,000 kilobits
Next, let's convert the download time to seconds:
2 hours x 60 minutes/hour x 60 seconds/minute = 7,200 seconds
Finally, to calculate the effective transmission speed, we divide the total size by the download time:
816,000 kilobits / 7,200 seconds = 113.33 kilobits/second
Converting kilobits to bits by multiplying by 1,000 (since 1 kilobit = 1,000 bits):
113.33 kilobits/second x 1,000 = 113,333.33 bits/second
Expressing the answer in scientific notation correct to two decimal places, we get:
1.13 x 10^5 bits/second