You have infinitely many piles of peanuts. in the first pileyou have one peanut; in the second pile you have two; inthe third you have three; and so on. how many nuts doyou have? does the set of all these nuts have the samecardinality as the set of natural numbers? if not, explainwhy. if so, provide a one-to-one correspondence.

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.

What is the axis of symmetry of the function f(x)=-(x+ 9)(x-21)

Will mark determine whether the conjecture is true or false. give a counterexample for any false conjecture. given: points r, s, and t conjecture: r, s, and t are coplanar. a) false; the points do not have to be in a straight line. b) true c) false; the points to not have to form right angles. d) false; one point may not be between the other two.