A compressed high-resolution chest xray image requires 8MB of data. most GP surgeries are connected to the NHS network at a speed of 2Mbps. how long would it take to download a set of 6 image. give your answer to seconds, to two decimal places using scientific notation.
6 * 8 *10^6 bytes/ (2*10^6 bits/s * 1 byte/8 bits)= 1.92*10^2 s.
6*8MB = 48
48MB*1024*1024 = 50331648 B
50331648*8 = 402653184 bits
402653184/2000000 (Mbps) = 201.326592
2.01 to two decimal points (2.01*10^2)seconds.
To calculate the time it would take to download a set of 6 compressed high-resolution chest x-ray images, we need to consider the image size, the network speed, and the number of images.
Image size: 8MB
Number of images: 6
First, we need to convert the image size from megabytes (MB) to megabits (Mb). Since 1 byte = 8 bits, 8MB is equal to 8 * 8 = 64 megabits (Mb).
Image size (in megabits): 64 Mb
Next, we need to calculate the time it would take to download 64 Mb of data over a network speed of 2 Mbps.
Time = Data / Speed
Time = 64 Mb / 2 Mbps
Time = 32 seconds
Since we have 6 images, we need to multiply the time by the number of images:
Total Time = 32 seconds * 6 images
Total Time = 192 seconds
Given that the answer should be in scientific notation with two decimal places, we get:
Total Time = 1.92 x 10^2 seconds
Therefore, it would take approximately 1.92 x 10^2 seconds to download a set of 6 compressed high-resolution chest x-ray images at a network speed of 2 Mbps.