A compressed high resolution chest xray image requires about 8MB of data. most GP surgeries are connected to the NHS network at a speed of 100Mbps. how long would it take to download a set of 6 images. give your answer to second to 2 decimal places using scientific notation.
The number of binary BITS of information in six images is 6*8*10^6 bits = 48*10^6.
The "8" factor is the number of bits per byte.
Divide that by the data rate of 10^8 bits/s for the answer in seconds.
I assume you can do the scientific notation etc.
To be honest I can make sense of that bit you pointed out. It’s actually the scientific notation bit I struggle with. The answer is 3.84 seconds, however how do you get the answer in seconds, to two decimal places using scientific notation??
Thanks,
Peter.
To calculate the time it would take to download the set of 6 images, we need to consider the size of each image and the network speed.
Given that each compressed high-resolution chest x-ray image requires about 8MB of data, the total size of the 6 images would be 6 * 8MB = 48MB.
To determine the time it would take to download this data, we need to convert the network speed from Mbps (megabits per second) to MBps (megabytes per second). Since there are 8 bits in a byte, 100Mbps is equivalent to 100/8 = 12.5MBps.
We can now calculate the time using the formula:
Time (in seconds) = Size (in bytes) / Transfer Rate (in bytes per second)
Converting the size from MB to bytes (1MB = 1,000,000 bytes) and using the transfer rate of 12.5MBps:
Size (in bytes) = 48MB * 1,000,000 = 48,000,000 bytes
Time (in seconds) = 48,000,000 bytes / 12.5MBps = 3,840,000 seconds
Finally, we need to convert the time to scientific notation with 2 decimal places. In scientific notation, 3,840,000 is written as 3.84 x 10^6. Therefore, the answer is approximately 3.84e6 seconds.