Caleb is making a soil mix that is 8 parts dirt to 3 parts peat moss. which of the following best describes the amount of dirt he could use for every 1 cup of peat moss?

a. he should add between 1/4 cup and 1/2 of dirt.

b. he should add between 1/2 cup and 1 cup of dirt.

c. he should add between 1 cup and 2 cups of dirt.

d. he should add between 2 cups and 3 cups of dirt.

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.

M the table below represents a linear function f(x) and the equation represents a function g(x): x f(x)−1 −50 −11 3g(x)g(x) = 2x − 7part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)part b: which function has a greater y-intercept? justify your answer. (4 points)

Evaluate the discriminant of each equation. tell how many solutions each equation has and whether the solutions are real or imaginary. x^2 - 4x - 5 = 0