There are two algorithms called alg1 and alg2 for a problem of size n. alg1 runs in n2 microseconds and alg2 runs in 100n log n microseconds. alg1 can be implemented using 4 hours of programmer time and needs 2 minutes of cpu time to develop. on the other hand, alg2 requires 15 hours of programmer time and 6 minutes of cpu time to develop. if programmers are paid 20 dollars per hour and cpu time costs 50 dollars per minute, how many times must a problem instance of size 500 be solved using alg2 in order to justify its development cost?

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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.

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