Final answer:
The height of the rectangle in a density curve for all the possible weights between 0 pounds and 1000 pounds is 0.001.
Step-by-step explanation:
In a density curve for all possible weights between 0 pounds and 1000 pounds that is shaped like a rectangle, the height of the rectangle represents the density. To find the height of the rectangle, we need to calculate the area under the curve, which is equal to 1 (since it represents the entire range of weights). Since the area of a rectangle is equal to its height multiplied by its width, the height of the rectangle would be 1 divided by the width of the range of weights, which is 1000 - 0 = 1000 pounds. Therefore, the height of the rectangle would be 1/1000 = 0.001.