Megan conducts a probability experiment. She uses 12 cards. Three are black, 7 are white, and 2 are gray. She randomly picks one of the 12 cards from the box, looks at the color and replaces the card. She repeats this 48 times. How many times can Megan expect to pick a black card?

Identify an equation in point slope form for the line perpendicular to y=3x+5 that passes through (4,-1)

If w = 6 units, x = 3 units, and y = 5 units, what is the surface area of the figure? 168 units2 240 units2 144 units2 96 units2

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)