Mr. gray's class is conducting an experiment to find the probability of pulling certain colors from a bag of 25 marbles. if 5 are purple, 2 are yellow, 4 are green, and the rest are black, what is the probability of drawing a green and black if the marbles are not replaced after they are picked?

These tables represent a quadratic function with a vertex at (0, -1). what is the average rate of change for the interval from x = 9 to x = 10?

If t17 = 3 (t5) in an arithmetic progression, find t1 in terms of d.

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.