For each integer n, define f_n: r rightarrow r by f_n (x) = x + n. (a) prove that for each integer n, f_n is a permutation of r, that is f_n elementof s(r). (b) prove that f_n compositefunction f_m = f_n + m and f^-1_n = f_-n (c) let g = {f_n: n elementof z}. prove that g is a subgroup of s(r). (d) prove that g is cyclic (find a generator of g).

Someone answer asap for ! max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a. the median of max’s data is 250 b. more than half of the data points max recorded were 177 centimeters. c. a data point chosen at random is as likely to be above the mean as it is to be below the mean. d. every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.

Item 1 solve for s. s+24=90 −114 −66 66 114

Renting a room at the willow tree resort costs $125 for 2 people. each additional person is $25. write an expression that shows the cost for n extra people