Explain why the complex numbers z1 = 1 − √3i, z2 = 2 − 2√3i, and z3 = 5 − 5√3i can al have the same
argument. draw a diagram to suport your answer what is the modulus of each of the complex numbers z1, z2, and z3 given in problem 1 above?
3. write the complex numbers from exercise 1 in polar form.
4. explain why 1 − √3i and 2(cos(300°) + i sin(300°)) represent the same number.
5. julien stated that a given modulus and a given argument uniquely determine a complex number. confirm or refute
julien’s reasoning

Now 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.