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Answer :
Sure! Let's solve each part of the question step by step.
### Part a) What percentage of games did the soccer team lose?
1. Find the number of games lost:
The team played a total of 18 games and won 13 of them.
To find the number of games they lost, subtract the games won from the total games played:
[tex]\[ \text{Games Lost} = 18 - 13 = 5 \][/tex]
2. Calculate the percentage of games lost:
To find out the percentage of games lost, divide the number of games lost by the total number of games played and then multiply by 100 to convert it into a percentage:
[tex]\[ \text{Percentage Lost} = \left(\frac{5}{18}\right) \times 100 \approx 27.78\% \][/tex]
### Part b) If next season they play 25 games, how many games would you expect the team to win?
1. Determine the win ratio from last season:
The win ratio is found by dividing the number of games won by the total number of games played:
[tex]\[ \text{Win Ratio} = \frac{13}{18} \][/tex]
2. Calculate the expected number of wins next season:
If the team maintains the same win ratio, multiply the win ratio by the number of games they plan to play next season to estimate the number of wins:
[tex]\[ \text{Expected Wins} = 25 \times \frac{13}{18} \approx 18.0 \][/tex]
So, for the next season, the team can be expected to win around 18 games.
In summary, the team lost approximately 27.78% of their games last season, and they are expected to win about 18 games if they play 25 games next season.
### Part a) What percentage of games did the soccer team lose?
1. Find the number of games lost:
The team played a total of 18 games and won 13 of them.
To find the number of games they lost, subtract the games won from the total games played:
[tex]\[ \text{Games Lost} = 18 - 13 = 5 \][/tex]
2. Calculate the percentage of games lost:
To find out the percentage of games lost, divide the number of games lost by the total number of games played and then multiply by 100 to convert it into a percentage:
[tex]\[ \text{Percentage Lost} = \left(\frac{5}{18}\right) \times 100 \approx 27.78\% \][/tex]
### Part b) If next season they play 25 games, how many games would you expect the team to win?
1. Determine the win ratio from last season:
The win ratio is found by dividing the number of games won by the total number of games played:
[tex]\[ \text{Win Ratio} = \frac{13}{18} \][/tex]
2. Calculate the expected number of wins next season:
If the team maintains the same win ratio, multiply the win ratio by the number of games they plan to play next season to estimate the number of wins:
[tex]\[ \text{Expected Wins} = 25 \times \frac{13}{18} \approx 18.0 \][/tex]
So, for the next season, the team can be expected to win around 18 games.
In summary, the team lost approximately 27.78% of their games last season, and they are expected to win about 18 games if they play 25 games next season.
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