Question s Two events\( A \)and\( B \)are mutually exclusive if they satisfy which of the following conditions

a.\(P ( A \cup B ) = \phi \)

b.\(P ( A ) \times P ( B ) = P ( A \cup B ) \)

c.\( P ( A ^ { C } \cap B ^ { C } ) = \phi \)

d.\( P ( A ) \times P ( B ) = P ( A \cap B ) \)

e.\(P ( A \cap B ) = \phi \)

In the following situation, state whether two variables are related in a way that might be described by a function. If so, identify the independent and dependent variables.

You make a list of the titles of books in a public library and their copyright year.

A. Independent variable, copyright year; dependent variable, book title

B. Independent variable, book title; dependent variable, copyright year

C. does not describe a function

A hydrogen ion concentration of 0.00001 moles per liter

a. is characteristic of pure water

b. is characteristic of some acids

c. can be expressed as pH 4

d. can be expressed as\( 10 ^ { - 4 } \)moles per liter

Read the paragraph.

One institution of the judicial branch of the US government, the Supreme Court, is responsible for interpreting federal laws. The Court consists of nine judges. The president appoints the judges, and the Senate confirms their appointment. The Supreme Court hears cases on appeal. Once the Court has made a decision, it cannot be overturned by a lower court.

What is the best way to revise this paragraph?

A. Add more relevant information.

B. Add a concluding sentence.

C. Make each sentence a complete

D. Add a topic sentence.

Which is the better hot dog buy?

3 oz. hot dog for $2.98

2 oz. hot dog for $2.79

a. the 3 oz. is bigger so it's cheaper

b. 2 oz hot dog is cheaper per ounce

c. 3 oz. for $0.99