If film contain 4.4GB of data how long would it take to download by 2Mbps connection. give your answer in seconds and in scientific notation accurate to 2 decimal place?
You need to distinguish between Bytes (B) and bits (b). There are 8 bits in a Byte.
4.4 GB is 4.4*8*10^9 = 3.52*10^10 bytes
Divide that by 2*10^6 bytes/sec for the number of seconds.
Then do the scientific notation and rounding off.
Please could you explain this in more detail, would like to understand all the figures
To calculate the time it would take to download a file, we can use the formula:
Time = File Size / Download Speed
Given that the film contains 4.4GB of data and the download speed is 2Mbps, we need to convert the file size from gigabytes (GB) to megabits (Mb) to match the units of the download speed.
1GB = 8Gb (8 gigabits)
So, the file size in megabits is:
4.4 GB * 8 = 35.2 Gb
Now we can calculate the time it would take to download:
Time = 35.2 Gb / 2 Mbps
To convert Mbps to bits per second (bps), we need to multiply by 1,000,000:
2 Mbps * 1,000,000 = 2,000,000 bps
Now we can calculate the time in seconds:
Time = 35.2 Gb / 2,000,000 bps
Time = 0.0176 seconds
To write the answer in scientific notation with 2 decimal places, we can express it as:
Time = 1.76 x 10^-2 seconds