Answer
$6.78$ seconds
Work Step by Step
To find the time it takes for one dribble to happen, use the relation that $$T=\frac{1}{f}$$ where T is the period and f is the frequency. Using a value of $f=1.77Hz$ yields a period of $$T=\frac{1}{1.77Hz}=0.565s$$ If this is the time it takes for one dribble, 12 dribbles must take (12dribbles)(0.565s/dribble)$=6.78s$.
