Express each of these statements using predicates, quan- tifiers, logical connectives, and mathematical operators where the domain consists of all integers. a) the product of two negative integers is positive. b) the average of two positive integers is positive. c) the difference of two negative integers is not neces- sarily negative. d) the absolute value of the sum of two integers does not exceed the sum of the absolute values of these integers.

What is the remainder when 2872 is divided by 76? a) 51 b) 57 c) 60 d) 63

Needmax 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.

Write the equation in logarithmic form 8^x=64