Final Answer:
The mean of the constant in the expression, lacking any coefficient attached to the variable, is 0, indicating no change over time. Therefore, the correct option is b) 0.
Step-by-step explanation:
The expression given for the number of gold balls produced by the factory as a function of time (h) doesn't include any variable dependent on (h). It's represented as a constant term. When there's no coefficient attached to the variable (h), it implies that the rate of change regarding time (h) is zero. Hence, the mean of the constant in this expression is 0.
The expression describing the number of gold balls produced doesn't contain any variable dependent on the hours of operation (h). In the absence of any coefficient attached to the variable (h), the equation simplifies to a constant term. This implies that the production of gold balls is not influenced by time (h) in any way. As there's no rate of change with respect to (h), the mean of the constant in this expression is 0.
Mathematically, if the expression were (N(h) = k), where (N) represents the number of gold balls produced and (k) is a constant, the absence of a coefficient for (h) implies that the rate of change (dN/dh = 0). This signifies that the number of gold balls produced remains constant irrespective of the time the factory operates. Consequently, the mean of the constant term (k) in this expression would be 0, denoting no change concerning time (h) in the production of gold balls.
In summary, the absence of any coefficient or variable dependent on time (h) in the expression representing the number of gold balls produced by the factory denotes a constant term. Consequently, the mean of this constant term is 0, indicating that the production of gold balls remains constant regardless of the number of hours the factory operates.correct option is b.