The Region $\left\{ ( x + y ) \mid x \geq - 7,0 \leq y \leq e ^ { - x / 5 } \right\}$

question 40

Multiple Choice

The region $\left\{ ( x + y ) \mid x \geq - 7,0 \leq y \leq e ^ { - x / 5 } \right\}$ is represented below. Find the area of this region to two decimal places.

• A) \(20.28\)
• B) \(17.89\)
• C) \(16.08\)
• D) \(15.89\)
• E) \(15.87\)

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Definitions:

Representativeness Heuristic

A cognitive shortcut used in decision making, where the likelihood of an object belonging to a category is assessed based on how similar it is to one's conception of that category.

Conjunction Fallacy

A logical fallacy where people incorrectly judge the probability of the conjunction of two events to be more likely than the probability of a single one of those events.

Subcategory

A more specific grouping within a larger category, often distinguished by particular characteristics.

Semantic Slanting

The deliberate choice of words to create specific emotional responses or to subtly influence perception.