Answer:
8 inches.
Step-by-step explanation:
In the first bounce, the height that the ball reaches was 125 inches.
If the ball always bounces back to [tex]\frac{2}{5}[/tex] of the height, then after 2nd bounce it will reach [tex](125 \times \frac{2}{5}) = 50[/tex] inches height.
Again, after 3rd bounce, it will reach [tex](50 \times \frac{2}{5}) = 20[/tex] inches height.
And, after 4th bounce, it will reach [tex](20 \times \frac{2}{5}) = 8[/tex] inches height. (Answer)