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. I know the answer is 3.84 seconds, but hw is it expressed in to two decimal places and scientific notation?

Question

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. I know the answer is 3.84 seconds, but hw is it expressed in to two decimal places and scientific notation?

Is it 3.84*10^1? Please help.

Answer 1

6 images would take 48 MB of data

at a rate of 100 MB/s this would take
48/100 sec or .48 seconds

In scientific notation that would be 4.80x10^-1

I don't know where you got 3.84

Answer 2

Hi thanks for your responce. However, I think you have used 100MBps (Mega Bytes) insted of 100Mbps(Mega bits), Which would correspond to a different value. So, 4810^68/100*10^6 = 3.84. But how to I express this to two decimal places and scientific notation?

Thanks

Answer 3

You are correct, sometimes I should take more care when reading a question

3.84 could be written as
3.84 x 10^0 to match the format of scientific notation.

A "scientific" number falls between 1 and 9 multiplied by a power of 10

e.g. 345.65 = 3.4565 x 10^2
.001234 = 1.234 x 10^-3

Answer 4

To calculate the time it takes to download the images, we need to consider the size of each image and the speed of the network connection.

First, let's calculate the total size of the 6 images. Each image requires 8MB of data, so for 6 images, the total size will be 6 * 8MB = 48MB.

Now, we need to convert the size from megabytes (MB) to megabits (Mb) because the network speed is measured in Mbps.

1 byte = 8 bits
Hence, 1 megabyte (MB) = 8 megabits (Mb)

Therefore, the total size in megabits is 48MB * 8 = 384Mb.

Next, we can calculate the time it takes to download the images using the formula: time = size / speed.

The speed of the network connection is given as 100Mbps.

Therefore, the time to download the images is 384Mb / 100Mbps.

To calculate this time in seconds, we need to divide the size (in megabits) by the speed (in megabits per second).

384Mb / 100Mbps = 3.84 seconds.

To express this answer in scientific notation to two decimal places, we write 3.84 as 3.84 * 10^0 since there is no need to move the decimal point.

To express this in scientific notation with two decimal places, we would write it as 3.84 * 10^0.

6 images would take 48 MB of data

Hi thanks for your responce. However, I think you have used 100MBps (Mega Bytes) insted of 100Mbps(Mega bits), Which would correspond to a different value. So, 48*10^6*8/100*10^6 = 3.84. But how to I express this to two decimal places and scientific notation?

You are correct, sometimes I should take more care when reading a question

To calculate the time it takes to download the images, we need to consider the size of each image and the speed of the network connection.

Hi thanks for your responce. However, I think you have used 100MBps (Mega Bytes) insted of 100Mbps(Mega bits), Which would correspond to a different value. So, 4810^68/100*10^6 = 3.84. But how to I express this to two decimal places and scientific notation?