1. The problem states the formula for $m^{(t)}$ as given: $$m^{(t)} = \frac{\int x f^{(x)} \, dx}{\int f^{(x)} \, dx} - t = \frac{\int F^{(x)} \, dx}{\int f^{(x)} \, dx} = \frac{F^{(x)}}{F^{(t)}}$$ 2. This formula relates the function $f^{(x)}$, its integral $F^{(x)}$, and the variable $t$. 3. The expression shows that $m^{(t)}$ can be represented in three equivalent forms involving integrals and the function $F^{(x)}$. 4. No simplification or alteration is requested, so the formula is presented as is. 5. The graph description indicates a horizontal number line from 0 to 4 with points at 0, 1, 2, and 4, showing values of $f^{(x)}$ and $F^{(x)}$ along the curve. 6. This visual aids in understanding the integral expressions and their relation to the function values. Final answer: $$m^{(t)} = \frac{\int x f^{(x)} \, dx}{\int f^{(x)} \, dx} - t = \frac{\int F^{(x)} \, dx}{\int f^{(x)} \, dx} = \frac{F^{(x)}}{F^{(t)}}$$