A bag contains 8 green marbles and 40 yellow marbles. If a representative sample contains 3 green marbles, then how many yellow marbles would you expect it to contain? Explain.
Because the ratio of green marbles to yellow marbles is in the population, the expected
number of yellow marbles is times the number of green marbles in the representative sample.
There should be yellow marbles.

Need 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.

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)

Rewrite the following quadratic functions in intercept or factored form. show your work. f(x) = 3x^2 - 12