Stored on a flash memory device is a 200-megabyte (MB) message to be transmitted by an e-mail from one server to another, passing three nodes of a connectionless network. This network forces packets to be of size 10KB, excluding a packet header of 40 bytes. Nodes are 400 miles apart, and servers are 50 miles away from their corresponding nodes. All transmission links are of type 100Mb/s. The processing time at each node is 0.2 seconds. (a) Find the propagation delays per packet between a server and a node and between nodes.
(b) Find the total time required to send this message.

For each of the following claims, determine whether they are true or false. justify your determination (show your work). if the claim is false, state the correct asymptotic relationship as o, θ, or ω. unless otherwise specified, lg is log2.(a) (b) (c) (d) (e) (f) (g) (h) (i) (j)n+1 =22n =2n =1 =ln2 n =n2 +2n−4 =33n = 2n+1 =√n = 10100 =o(n4) o(2n)θ(2n+7 ) o(1/n)θ(lg2 n) ω(n2 )θ(9n ) θ(2n lg n )o(lg n) θ(1)

Match the steps of the process to julia's analysis. 1. analyze choices. current costs for making phone calls to foreign countries averages between five and ten cents a minute. 2. determine the goals. julia needs to reduce the cost of telecommunications without reducing her employees' ability to do their jobs. 3. gather data. the corporate computer network will be able to handle the increased traffic that will occur as a result of voip. 4. evaluate the decision. julia will have her it department set up voip in the smallest domestic office. 5. make the decision. julia will have employees document the benefits and problems that result from using the new technology.

Researchers measured the data speeds for a particular smartphone carrier at 50 airports. the highest speed measured was 78.1 mbps. the complete list of 50 data speeds has a mean of x overbarequals16.11 mbps and a standard deviation of sequals18.65 mbps. a. what is the difference between carrier's highest data speed and the mean of all 50 data speeds? b. how many standard deviations is that [the difference found in part (a)]? c. convert the carrier's highest data speed to a z score. d. if we consider data speeds that convert to z scores between minus2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant? a. the difference is nothing mbps.