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Which estimate best describes the area under the curve in square units?

a) 20 units²
b) 25 units²
c) 35 units²
d) 40 units²

1 Answer

5 votes

Final answer:

Without the specific numerical values for the base and height of the triangle, we cannot accurately estimate the area under the curve. Normally, one would use the formula A = (1/2) × base × height to calculate such an area if those values were provided.

Step-by-step explanation:

To estimate the area under the curve, as represented by Equation 10.11, we need to calculate the area of the right triangle depicted in Figure 10.13. This task involves using the base and the height of the triangle which can be observed from the units of time provided in the question. The calculation of the area A of a right triangle uses the formula A = (1/2) × base × height.

Considering the provided figures or values for base and height are not explicitly given in the question, we can refer to the information that the curve follows a uniform distribution from 2.5 to 5 seconds. If we assume that the height of the triangle is the maximum value at 5 seconds, we would need to know the actual data point values to calculate the precise area. Since we lack numerical data to conduct this calculation, we cannot proceed further.

However, in situations where you have the base and height, you would simply apply the formula. For instance, if the base (time duration) was 2.5 seconds and the height (some data value represented on the y-axis) was also given, you could calculate the exact area with precision.

User Lord Varlin
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