Using a long rod that has length m, you are going to lay out a square plot in which the length of each side is m. thus the area of the plot will be m^2. however, you do not know the value of m, so you decide to make n independent measurements x1, x2, … , xn of the length. assume that each xi has mean m (unbiased measurements) and variance s^2.a. show that x bar 2 is not an unbiased estimator for m^2.b. for what value k is the estimator x bar 2 -ks2 unbiased for m^2?

Abdul is making a map of his neighborhood he knows the following information: his home, the middle school, and high school are all on the same street. his home, the elementry school, and his friends house are on the same street. the angle between the elementary school, middle school, and his home is congruent to the angle between his friends house, the high school, and his home. what theorem can abdul use to determine the two triangles are similar? a- side side side similarity theoremb- angle angle similarity theoremc- corresponding parts of similar triangles are congruentd- pieces of right triangles similarity theorem