A state energy agency mailed questionnaires on energy conservation to 1,000 homeowners in the state capital. Five hundred questionnaires were returned. Suppose an experiment consists of
Randomly selecting one of the returned questionnaires. Consider the events: A: :The home is constructed of brick $\}$
B: : {The home is more than 30 years old}

In terms of $A$ and $B$, describe a home that is constructed of brick and is less than or equal to 30 years old.
A) $A \cap B$
B) $A \cap B ^ { C }$
C) $A \cup B$
D) $( A \cap B ) ^ { C }$

Question

A state energy agency mailed questionnaires on energy conservation to 1,000 homeowners in the state capital. Five hundred questionnaires were returned. Suppose an experiment consists of
Randomly selecting one of the returned questionnaires. Consider the events: A: :The home is constructed of brick $\}$
B: : {The home is more than 30 years old}

In terms of $A$ and $B$, describe a home that is constructed of brick and is less than or equal to 30 years old.
A) $A \cap B$
B) $A \cap B ^ { C }$
C) $A \cup B$
D) $( A \cap B ) ^ { C }$

Quizplus · Accepted Answer

A home that is constructed of brick and is less than or equal to 30 years old is described by $A \cap B^C$, where $A$ represents homes constructed of brick and $B^C$ represents the complement of $B$, meaning homes that are not more than 30 years old (i.e., 30 years old or younger).

A State Energy Agency Mailed Questionnaires on Energy Conservation to 1,000