Let s be the subset of r^2 consisting of all points (x, y) in the unit square [0, 1] x [0, 1] for which x or y. or both, are irrational. with respect to the standard topology on r, s is (a) closed (b) opein (c) connected d) totally disconnected (e) compact

Prove the divisibility of the following numbers: 25^9 + 5^7 is divisible by 30.also, read as (25 to the power of 9) + (5 to the power of 7) is divisible by 30. blank x 30what is the blank? ( it should be expressed in exponent form)

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.

James was playing a game with his friends. he won 35 points. then he lost 15, lost 40 and won 55. how did he come out