Final answer:
The height of the rectangular density curve representing temperatures from 0°F to 40°F is found by dividing the total area under the curve (1) by the width of the temperature range (40°F). The height is thus 0.025, making the correct answer D. 0.025.
Step-by-step explanation:
The question pertains to finding the height of a density curve that is shaped like a rectangle, where the x-axis represents the temperature range from 0°F to 40°F. The area under a density curve must equal 1, since it represents a probability distribution. To calculate the height of the rectangle, we divide the total area under the curve by the width of the temperature range.
Given that the width of the rectangle is the difference between the temperatures (40°F - 0°F), we have:
- Width of temperature range = 40°F - 0°F = 40°F
- Total area under the density curve = 1
- Height of the density curve = Total area ÷ Width of temperature range = 1 ÷ 40°F = 0.025
Therefore, the correct answer is D. 0.025.