Answer:
The number of hits is [tex]T \ge 30 \ hits[/tex]
Step-by-step explanation:
From the question we are told that
The ratio of the number of hits to the number of chances is equivalent to the batting average
The number of chances is j = 65 + 10 = 75
The number of hit so far is n = 25
Generally the batting average can be represented mathematically as
[tex]A = \frac{n + k}{ j}[/tex]
Here k is the number of additional hits Kyle need to get in order to obtain the batting average of 0.40 or more
So
[tex]\frac{25 + k}{ 75} \ge 0.40[/tex]
=> [tex]k \ge 5 \ hits[/tex]
Hence the number of hits for Kyle to get a batting average of 0.400 or greater by the end of the season is
[tex]T \ge k + n[/tex]
=> [tex]T \ge 5 + 30[/tex]
=> [tex]T \ge 30 \ hits[/tex]
