Assume that you randomly surveyed 10,000 new mothers in your state and asked them how many hours their newborns sleep per night. 4,300 had newborns that only slept 5 hours per night. Let X be the number of hours a randomly selected mother reports her newborn sleeps. Then P(X = 5) is .

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part 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)

Aquadrilateral has exactly one pair of parallel sides. which name best describes the figure?

Asource of laser light sends rays ab and ac toward two opposite walls of a hall. the light rays strike the walls at points b and c, as shown below: what is the distance between the walls?