Answer:
0.30125
Step-by-step explanation:
Data provided in the question:
Andrew's batting average = 0.300
Number of career hits for 0.300 batting average = 1,500
Previous bat times for 0.300 batting average = 5,000
Now,
For the greatest possible average, he must have his career hits in every match he bats.
Therefore,
Before the tenth time of the series, he will bat in 9 times
Thus,
He must have 9 career hits in these 9 matches he bats in
therefore,
The total number of career hits = 1,500 + 9 = 1,509
Total number of bat times = 5,000 + 9 = 5,009
Hence,
Greatest average he could possibly have when he goes up to bat the tenth time of the series
= (Total career hits) ÷ (Total number of times he bats)
= 1,509 ÷ 5,009
= 0.30125
