Two smooth spheres of the same volume and of masses M, m (M bigger than m) are at rest on a smooth horizontal table. The sphere m is given an impulse I along the line of centers of two spheres and then impinges on the sphere M. If e is the coefficient of restitution between the two spheres. Prove that the loss of kinetic energy by impact is:

Given the conditional statement, match the following. conditional statement: if two lines intersect, then their intersection is one point.

Write the sine and cosine values of a, b, respectively, in the figure for (1) and (2) + explanation.

Need 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.