From the given information:
Batting average of the player = 0.25.
This means that, on average, the player gets 25 hits in 100 times at-bat.
Therefore:
The number of hits which he would expect to get in 360 times at-bat
= Batting Average X Number of Times at-bat
[tex]\begin{gathered} =0.25\text{ x 360} \\ =90 \end{gathered}[/tex]The baseball player would expect to get 90 hits in 360 times at-bat.
Another approach is to use ratio.
[tex]\frac{25\text{ Hits}}{100\text{ times at bat}}=\frac{x\text{ Hits}}{360\text{ times at bat}}[/tex]Cross multiply
[tex]\begin{gathered} 100x=25\text{ }\times\text{ 360} \\ 100x=9000 \end{gathered}[/tex]Divide both sides by 100 to solve for x
[tex]x=90[/tex]Therefore, the baseball player would expect to get 90 hits in 360 times at-bat.