Yoko does a weekly exercise program consisting of cardiovascular work and weight training. Each week, she exercises for at least 8 hours. She spends at most 12 hours on weight training. She spends at most 4 hours doing cardiovascular work. Let x denote the time (in hours) that Yoko spends doing cardiovascular work. Let y denote the time (in hours) that she spends on weight training. Shade the region corresponding to all values of and that satisfy these requirements.

The slope of a line is –2 and its y-intercept is (0, 3). what is the equation of the line that is parallel to the first line and passes through (2, 2)? a. 2x + y = 6 b. y = –2x + 3 c. y=1/2x +6 d. y=-2x-6

Pete is making decorations for a dinner party. the instructions tell him to use 9 flowers for a medium-sized decoration. complete each statement to adjust the flowers for different-sized decorations based on these instructions.

Abag contains 3 red marbles, 2 blue marbles, and 2 green marbles. one marble is picked, then another marble. assume that the selections are made with replacement. a) find the probability of picking two red marbles with replacement. b) find the probability of picking a red marble and a blue marble. assume the selections are made without replacement. c) find the probability of picking two red marbles without replacement. d) find the probability of picking a red marble and a blue marble without replacement.