Answer :
Sure! Let's go through the question step-by-step to understand which player has a better ratio of hits to total attempts.
1. Understanding Ratios:
- A player's batting average is calculated by dividing the number of successful hits by the number of attempts.
2. Tasha's Performance:
- Tasha hit the ball 9 times out of 12 attempts.
- Her ratio or batting average is therefore [tex]\( \frac{9}{12} \)[/tex].
3. Simplifying Tasha's Ratio:
- Simplifying [tex]\( \frac{9}{12} \)[/tex] gives us [tex]\( \frac{3}{4} \)[/tex].
- As a decimal, [tex]\( \frac{3}{4} \)[/tex] equals 0.75.
4. Jana's Performance:
- Jana hit the ball 48 times out of 60 attempts.
- Her ratio or batting average is [tex]\( \frac{48}{60} \)[/tex].
5. Simplifying Jana's Ratio:
- Simplifying [tex]\( \frac{48}{60} \)[/tex] gives us [tex]\( \frac{4}{5} \)[/tex].
- As a decimal, [tex]\( \frac{4}{5} \)[/tex] equals 0.8.
6. Comparing the Ratios:
- Tasha has a batting average of 0.75.
- Jana has a batting average of 0.8.
7. Conclusion:
- Since 0.8 (Jana's batting average) is greater than 0.75 (Tasha's batting average), Jana has the higher ratio of hits to attempts.
Therefore, Jana has the better ratio because her batting average of 0.8 is higher than Tasha's 0.75. The correct statement is: "Jana, because she has the highest ratio since [tex]\(\frac{48}{60} > \frac{45}{60}\)[/tex]."
1. Understanding Ratios:
- A player's batting average is calculated by dividing the number of successful hits by the number of attempts.
2. Tasha's Performance:
- Tasha hit the ball 9 times out of 12 attempts.
- Her ratio or batting average is therefore [tex]\( \frac{9}{12} \)[/tex].
3. Simplifying Tasha's Ratio:
- Simplifying [tex]\( \frac{9}{12} \)[/tex] gives us [tex]\( \frac{3}{4} \)[/tex].
- As a decimal, [tex]\( \frac{3}{4} \)[/tex] equals 0.75.
4. Jana's Performance:
- Jana hit the ball 48 times out of 60 attempts.
- Her ratio or batting average is [tex]\( \frac{48}{60} \)[/tex].
5. Simplifying Jana's Ratio:
- Simplifying [tex]\( \frac{48}{60} \)[/tex] gives us [tex]\( \frac{4}{5} \)[/tex].
- As a decimal, [tex]\( \frac{4}{5} \)[/tex] equals 0.8.
6. Comparing the Ratios:
- Tasha has a batting average of 0.75.
- Jana has a batting average of 0.8.
7. Conclusion:
- Since 0.8 (Jana's batting average) is greater than 0.75 (Tasha's batting average), Jana has the higher ratio of hits to attempts.
Therefore, Jana has the better ratio because her batting average of 0.8 is higher than Tasha's 0.75. The correct statement is: "Jana, because she has the highest ratio since [tex]\(\frac{48}{60} > \frac{45}{60}\)[/tex]."
