FIRST ASSIGNMENT: MATH 10: WORKPLACE
8. A bag contains 5 red, 4 blue, 3 green and 2 black balls, and a single ball is selected. What is the probability
of selecting:
a. blue ball
1 mark
b. not a red or blue ball
1 mark
c. black or blue
1 mark
9. The Stair Game
The game starts on the fifth step of a staircase. Each player's turn consists of flipping two coins and moving up
or down according to the following rules:
If no heads appear on the player's two coins, the player does not move. If one head appears, the player moves
up one stair. If two heads appear, the player moves down one stair.
Calculate the following theoretic probabilities. (You may want to construct a tree diagram.)
a. Find P (no move) =
1 mark
b. Find P (up one) =
1 mark
c. Find P (down one) =
1 mark
10. What is the difference between experimental and theoretical probability?

What expression is equivalent to (2x-1)(x-3)?

The table shows the relationship between the number of cups of cereal and the number of cups of raisins in a cereal bar recipe: number of cups of cereal number of cups of raisins 8 2 12 3 16 4 molly plotted an equivalent ratio as shown on the grid below: a graph is shown. the title of the graph is cereal bars. the horizontal axis label is cereal in cups. the x-axis values are 0, 20, 40, 60, 80,100. the vertical axis label is raisins in cups. the y-axis values are 0, 10, 20, 30, 40, 50. a point is plotted on the ordered pair 40,20. which of these explains why the point molly plotted is incorrect? (a) if the number of cups of cereal is 40, then the number of cups of raisins will be10. (b)if the number of cups of raisins is 40, then the number of cups of cereal will be10. (c) if the number of cups of cereal is 40, then the number of cups of raisins will be 80. (d) if the number of cups of raisins is 40, then the number of cups of cereal will be 80.

Amodel rocket is launched from a roof into a large field. the path of the rocket can be modeled by the equation y = -0.04x^2 + 8.6x + 4.8, where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of the rocket above the ground. how far horizontally from its starting point will the rocket land? a. 0.56 m b. 215.56 m c. 431.11 m d. 215.74 m