Suppose we define subtraction in zm to be the inverse of addition: (a - b) mod m = c in zm if (c + b) mod m = a. is subtraction well defined in z5? that is, for every pair a, b ∈ {0, 1, 2, 3, 4} is there a unique c ∈ {0, 1, 2, 3, 4} such that (a - b) mod 5 = c? what about in z6?

The angle of a triangle are given as 6x,(x-3), and (3x+7). find x then find the measures of the angles

Cor d? ? me ? 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.

Need ! the total ticket sales for a high school basketball game were $2,260. the ticket price for students were $2.25 less than the adult ticket price. the number of adult tickets sold was 230, and the number of student tickets sold was 180. what was the price of an adult ticket?