Find the distance between points C(-1, -1) and D(6, 2) to the nearest tenth.
1 answer:
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Answer:
1. 27.46% probability that A wins the series in 3 games.
2. There is a 28.84% probability A wins the series in 4 games.
3. There is a 20.18% probability A wins the series in 5 games.
4. There is a 76.48% probability A wins the series.
5. There is a 71.825% probability A wins the series if a "best-of-three" game series is played.
Step-by-step explanation:
For each game, there are these following probabilities:
A 65% probability team A wins.
A 35% probability team B wins.
The combination formula is important to solve this problem:
This is because for example, team A winning games 1,2 and 4 and team B winning game 3 is the same as team A winning games 1,3,4 and team B winning game 2. That is, the order is not important.
is the number of different combinatios of x objects from a set of n elements, given by the following formula.
1. What the probability that A wins the series in 3 games?
This is team A winning all 3 games. For each game, there is a 65% probability that team A wins. So
There is a 27.46% probability that A wins the series in 3 games.
2. What is the probability A wins the series in 4 games?
This is the team A winning three games and the team B 1. The team B win cannot happen in the fourth game, so the number of possibilities is a combination of 3 by 2. So
The probability that team A wins the series in 4 games is:
There is a 28.84% probability A wins the series in 4 games.
3.What is the probability A wins the series in 5 games?
This is the team A winning three games and the team B 2. The team B second win cannot happen in the fifth game, so the number of possibilities is a combination of 4 by 2. So
The probability that team A wins the series in 5 games is:
There is a 20.18% probability A wins the series in 5 games.
4. What is the probability A wins the series (period)?
They can win the series in 3,4 or 5 games. So this is the sum of the answers for 1,2,3.
So
There is a 76.48% probability A wins the series.
5. What is the probability A wins the series if a "best-of-three" game series is played?
These three following outcomes are accepted:
A - A
A - B - A
B - A - A
So
There is a 71.825% probability A wins the series if a "best-of-three" game series is played.
Answer: The answer is (2,9) and (6,3).
Step-by-step explanation: Given that Juan sells 2 sizes of dried wreaths. He takes 3 hours to make each large one and tales 2 hours to make each small one. Also, he has material for maximum 6 large wreaths or maximum 9 small wreaths.
Let, 'x' and 'y' be the number of number of large wreaths and number of small wreaths respectively made by Juan.
So, according to the given information, we have the following relations -
We tried plotting these inequalities in the graph paper (please see the attached figure), and found that the following two solutions will fit the situation perfectly.
Point A (x = 2, y = 9) and point B (x = 6, y = 3).
Thus, the two possible combinations are
(i) 2 large wreaths and 9 small wreaths, and
(ii) 6 large wreaths and 3 small wreaths.
