The goalie on the Iceblades hockey team saves (blocks) 73% of the opponent's shots. With 10 minutes to go, the Iceblades are ahe
ad by one goal, and they will win if the other team does not score.
The other team takes 5 shots in the final 10 minutes. The Iceblades do not score any more goals.
The table shows pairs of random digits. The pairs in each group simulate the 5 shots taken by the opponent.
Answer the questions to estimate the probability that the Iceblades will win the game.
1. The paired digits 00 to 99 represent 100 shots.
Let 00 to 72 = a shot that is saved. Which digits represent a goal scored? Explain.
2. Each group represents the 5 shots taken by the other team. To win the game, the Iceblades cannot let the other team score any goals.
For a group to be a success, how many of the 5 shots does the goalie need to save?
3. Group 1 is a success. Explain why.
4. In this simulation, which groups are successes? How many successes are there in the 10 groups?
5. Estimate the probability the Iceblades will win the game. Give your answer as a percent.
The other team takes 5 shots in the final 10 minutes. The Iceblades do not score any more goals.
The table shows pairs of random digits. The pairs in each group simulate the 5 shots taken by the opponent.
Answer the questions to estimate the probability that the Iceblades will win the game.
1. The paired digits 00 to 99 represent 100 shots.
Let 00 to 72 = a shot that is saved. Which digits represent a goal scored? Explain.
2. Each group represents the 5 shots taken by the other team. To win the game, the Iceblades cannot let the other team score any goals.
For a group to be a success, how many of the 5 shots does the goalie need to save?
3. Group 1 is a success. Explain why.
4. In this simulation, which groups are successes? How many successes are there in the 10 groups?
5. Estimate the probability the Iceblades will win the game. Give your answer as a percent.
1 answer:
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The equation of the hyperbola is
The points on the graph are given as:
- (2, 0) and (-2, 0)
- (4, 0) and (-4, 0)
- Lines at: x = 1 and x = -1
The hyperbola can be represented as:
The points (2, 0) and (-2, 0) means that:
Square both sides
So, we have:
Also, we have:
a^2 = c^2 - b^2
Where c = 4
This gives
a^2 = 4^2 - 4
Evaluate
a^2 = 12
Substitute a^2 = 12 in
Hence, the equation of the hyperbola is
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