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Western University has only one women's softball scholarship remaining for the coming year. The final two players under consideration are Allison Fealey and Emily Janson. The coaching staff has concluded that their speed and defensive skills are identical, and the final decision will be based on their batting averages. The batting performances for each player in their junior and senior years of high school are as follows:

Allison Fealey
| Outcome | Junior | Senior |
|---------|--------|--------|
| Hit | 15 | 75 |
| No Hit | 25 | 175 |
| Total At-Bats | 40 | 250 |

Emily Janson
| Outcome | Junior | Senior |
|---------|--------|--------|
| Hit | 70 | 35 |
| No Hit | 130 | 85 |
| Total At-Bats | 200 | 120 |

A player's batting average is computed by dividing the number of hits by the total number of at-bats. Batting averages are represented as a decimal number with three places after the decimal.

Task:
a. Calculate the batting average for each player in her junior year.

Junior Year Batting Averages:
- Allison Fealey:
- Emily Janson:



Answer :

GinnyAnswer
Sure! Let's calculate the batting averages for Allison Fealey and Emily Janson in their junior year.

### Allison Fealey:
1. Hits in Junior Year: 15
2. Total At-Bats in Junior Year: 40

To find Allison's batting average, you divide the number of hits by the total at-bats:
[tex]\[ \text{Batting Average} = \frac{\text{Hits}}{\text{Total At-Bats}} = \frac{15}{40} \][/tex]

### Emily Janson:
1. Hits in Junior Year: 70
2. Total At-Bats in Junior Year: 200

To find Emily's batting average, you divide the number of hits by the total at-bats:
[tex]\[ \text{Batting Average} = \frac{\text{Hits}}{\text{Total At-Bats}} = \frac{70}{200} \][/tex]

### Results:
1. Allison Fealey's Batting Average in Junior Year: 0.375
2. Emily Janson's Batting Average in Junior Year: 0.35

Therefore, the batting averages for each player in their junior year are:

- Allison Fealey: 0.375
- Emily Janson: 0.35

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