Suppose the cost of cleaning the lake is $40 per hour, and that the residents have agreed to split the cost of cleaning the lake equally. if the residents vote to determine the number of hours spent cleaning the lake, basing their decision solely on what maximizes their own surplus, what is the most number of hours for which all four residents would vote "yes? "

Micah solves a linear equation and concludes that x = 0 is the solution. his work is shown below. (1 – 3x) = 4(– + 2) 0 = x which statement is true about micah’s solution?

Complex numbers multiply √-4 * √-25 and show all intermediate steps. alternative notation is sqrt(-4) * sqrt(-25).

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.