A small cruising ship that can hold up to 50 people provides three-day excursions to groups of 30 or more. If the group contains 30 people, each person pays $66. The cost per person for all members of the party is reduced by $1 for each person in excess of 30. Find the size of the group that maximizes income for the owners of the ship.

What additional information could be used to prove that δxyz ≅ δfeg using asa or aas? check all that apply. ∠z ≅ ∠g and xz ≅ fg ∠z ≅ ∠g and ∠y ≅ ∠e xz ≅ fg and zy ≅ ge xy ≅ ef and zy ≅ fg ∠z ≅ ∠g and xy ≅ fe

Me 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.

A. plot the data for the functions f(x) and g(x) on a grid and connect the points. x -2 -1 0 1 2 f(x) 1/9 1/3 1 3 9 x -2 -1 0 1 2 g(x) -4 -2 0 2 4 b. which function could be described as exponential and which as linear? explain. c. if the functions continue with the same pattern, will the function values ever be equal? if so, give estimates for the value of x that will make the function values equals. if not, explain why the function values will never be equal.