Answer: The required winning average is 0.438.
Step-by-step explanation: Given that Monica won 7 of the 16 science competitions she entered.
We are to find the winning average of Monica to the nearest thousand.
The number of competitions in which Monica participated, C = 16
and
the number of competitions won by Monica, c = 7.
Therefore, the winning average of Monica is given by
[tex]A_v=\dfrac{c}{C}=\dfrac{7}{16}=0.4375.[/tex]
Rounding to the nearest thousand, we get the winning average as 0.438.
Thus, the required winning average is 0.438.