Lord byron is designing a set of square garden plots so some peasant families in his kingdom can grow vegetables. the
minimum size for a plot recommended for vegetable gardening is at least 2 m on each side. lord byron has enough
space around the castle to make bigger plots. he decides that each side should be the minimum (2 m) plus an additional
x m.
a. what expression can represent the area of one individual garden based on the undecided additional length xx?
b. there are 12 families in the kingdom who are interested in growing vegetables in the gardens. what equation
can represent the total area, of the 12 gardens?
c. if the total area available for the gardens is 300 sq m, what are the dimensions of each garden?
d. find both values for x that make the equation in part (c) true (the solution set). what value of x does lord
byron need to add to the 2 m?

When booking personal travel by air, one is always interested in actually arriving at one’s final destination even if that arrival is a bit late. the key variables we can typically try to control are the number of flight connections we have to make in route, and the amount of layover time we allow in those airports whenever we must make a connection. the key variables we have less control over are whether any particular flight will arrive at its destination late and, if late, how many minutes late it will be. for this assignment, the following necessarily-simplified assumptions describe our system of interest: the number of connections in route is a random variable with a poisson distribution, with an expected value of 1. the number of minutes of layover time allowed for each connection is based on a random variable with a poisson distribution (expected value 2) such that the allowed layover time is 15*(x+1). the probability that any particular flight segment will arrive late is a binomial distribution, with the probability of being late of 50%. if a flight arrives late, the number of minutes it is late is based on a random variable with an exponential distribution (lamda = .45) such that the minutes late (always rounded up to 10-minute values) is 10*(x+1). what is the probability of arriving at one’s final destination without having missed a connection? use excel.