To evaluate the expression \( 11.9p^2q \) for \( p = 2 \) and \( q = -0.9 \), we can substitute the values of \( p \) and \( q \) into the expression.
First, calculate \( p^2 \):
\[ p^2 = 2^2 = 4 \]
Now substitute \( p^2 \) and \( q \) into the expression:
\[ 11.9p^2q = 11.9 \times 4 \times (-0.9) \]
Calculate \( 11.9 \times 4 \):
\[ 11.9 \times 4 = 47.6 \]
Now multiply \( 47.6 \) by \( -0.9 \):
\[ 47.6 \times (-0.9) = -42.84 \]
Therefore, the evaluated expression is:
\[ \boxed{-42.84} \]