Two number cubes are rolled to determine how a token moves on a game board. The sides of each number cube are numbered 1, 2, 3,
4, 5 and 6.
There are two options describing how the token will be moved.
Option A: If the product is even, move forward 4 spaces. Otherwise, move backward 3.
Option B: If the product is even, move forward 5 spaces. Otherwise, move backward 4.
Use mathematical expectation to determine which option offers the greater likelihood of moving closer to the finish line on the game board.
Which statement best explains the better option?
The mathematical expectation of Option A is 2.75. The mathematical expectation of Option B is 2.25. Option A offers a greater likelihood of advancing to the finish line.
The mathematical expectation of Option A is 2.75. The mathematical expectation of Option B is 2.25. Option B offers a greater likelihood of advancing to the finish line.
The mathematical expectation of Option A is 2.25. The mathematical expectation of Option B is 2.75. Option B offers a greater likelihood of advancing to the finish line.
The mathematical expectation of Option A is 2.25. The mathematical expectation of Option B is 2.75. Option A offers a greater likelihood of advancing to the finish line.
There are two options describing how the token will be moved.
Option A: If the product is even, move forward 4 spaces. Otherwise, move backward 3.
Option B: If the product is even, move forward 5 spaces. Otherwise, move backward 4.
Use mathematical expectation to determine which option offers the greater likelihood of moving closer to the finish line on the game board.
Which statement best explains the better option?
The mathematical expectation of Option A is 2.75. The mathematical expectation of Option B is 2.25. Option A offers a greater likelihood of advancing to the finish line.
The mathematical expectation of Option A is 2.75. The mathematical expectation of Option B is 2.25. Option B offers a greater likelihood of advancing to the finish line.
The mathematical expectation of Option A is 2.25. The mathematical expectation of Option B is 2.75. Option B offers a greater likelihood of advancing to the finish line.
The mathematical expectation of Option A is 2.25. The mathematical expectation of Option B is 2.75. Option A offers a greater likelihood of advancing to the finish line.
1 answer:
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Answer:
A = 32°, a = 19, b = 14, B=22.98°, C = 125.02°, c = 29.36
Step-by-step explanation:
We have two sides of the triangle and we have an angle.
A = 32 °, a = 19, b = 14
We use the sine theorem to find the angle B.
We know that according to the sine theorem it is true that:
We know that the sum of the internal angles of a triangle is always equal to 180.
So:
Finally we find the c side