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Marina86 [1]
3 years ago
6

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.

Mathematics
1 answer:
guapka [62]3 years ago
4 0

1. The paired digits 00 to 99 represent 100 shots.

blocked

Let 00 to 72 = a shot that is saved. Which digits represent a goal scored? Explain.

Write your answer in the space below.

The answer is 73 to 99

2. Each group represents the 5 shots taken by the other team. To win the game, the Ice blades 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?

Write your answer in the space below.

The answer to the question Is all 5.

3. Group 1 is a success. Explain why.

Write your answer in the space below.

Group 1 is a success because none of the numbers 73 and 99 show up.

4. In this simulation, which groups are successes? How many successes are there in the 10 groups?

Write your answer in the space below.

1,3,10

There are 3.

5. Estimate the probability the Ice blades will win the game. Give your answer as a percent.

Write your answer in the space below.

3/10=30%

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Answer:

x = 1 , y = 1 , z = 0

Step-by-step explanation by elimination:

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Add equation 1 to equation 3:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+3 y + 2 z = 3 | (equation 2)

0 x+5 y + 6 z = 5 | (equation 3)

Swap equation 2 with equation 3:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+5 y + 6 z = 5 | (equation 2)

0 x+3 y + 2 z = 3 | (equation 3)

Subtract 3/5 × (equation 2) from equation 3:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+5 y + 6 z = 5 | (equation 2)

0 x+0 y - (8 z)/5 = 0 | (equation 3)

Multiply equation 3 by 5/8:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+5 y + 6 z = 5 | (equation 2)

0 x+0 y - z = 0 | (equation 3)

Multiply equation 3 by -1:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+5 y + 6 z = 5 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Subtract 6 × (equation 3) from equation 2:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

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Divide equation 2 by 5:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Subtract 2 × (equation 2) from equation 1:

{-(2 x) + 0 y+3 z = -2 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Subtract 3 × (equation 3) from equation 1:

{-(2 x)+0 y+0 z = -2 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Divide equation 1 by -2:

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0 x+0 y+z = 0 | (equation 3)

Collect results:

Answer: {x = 1 , y = 1 , z = 0

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