Answer :
Here's a detailed, step-by-step solution for the question:
1. Determine Given Values:
- Number of hits: 102
- Times at bat: 300
2. Calculate the Batting Average as a Decimal:
- To find the batting average, divide the number of hits by the times at bat.
- Batting average = [tex]\(\frac{102}{300}\)[/tex]
3. Simplify the Batting Average:
- Perform the division [tex]\( \frac{102}{300} \approx 0.34 \)[/tex]
- This means that the batting average as a decimal is [tex]\( 0.34 \)[/tex].
4. Convert the Batting Average to a Percentage:
- To convert a decimal to a percentage, multiply by 100 and add the percent sign (`%`).
- So, [tex]\( 0.34 \times 100 = 34.0 \)[/tex]
- Thus, the batting average as a percentage is [tex]\( 34\% \)[/tex].
In summary, the batting average when a player has 102 hits out of 300 times at bat is [tex]\( 0.34 \)[/tex] as a decimal and [tex]\( 34\% \)[/tex] as a percentage.
1. Determine Given Values:
- Number of hits: 102
- Times at bat: 300
2. Calculate the Batting Average as a Decimal:
- To find the batting average, divide the number of hits by the times at bat.
- Batting average = [tex]\(\frac{102}{300}\)[/tex]
3. Simplify the Batting Average:
- Perform the division [tex]\( \frac{102}{300} \approx 0.34 \)[/tex]
- This means that the batting average as a decimal is [tex]\( 0.34 \)[/tex].
4. Convert the Batting Average to a Percentage:
- To convert a decimal to a percentage, multiply by 100 and add the percent sign (`%`).
- So, [tex]\( 0.34 \times 100 = 34.0 \)[/tex]
- Thus, the batting average as a percentage is [tex]\( 34\% \)[/tex].
In summary, the batting average when a player has 102 hits out of 300 times at bat is [tex]\( 0.34 \)[/tex] as a decimal and [tex]\( 34\% \)[/tex] as a percentage.