Translate the Statement into Symbols Then Construct a Truth Table $\mathrm{p}=$

question 97

Multiple Choice

Translate the statement into symbols then construct a truth table.
- $\mathrm{p}=$ The cab is late.
$\mathrm{q}$ = The plane takes off on time.
$\mathrm{r}=$ Nancy has her plane ticket.
The cab is late or the plane does not take off on time, and Nancy does not have her ticke

• A)
• \(\begin{array} { c c c c }
• \mathrm { p } & \mathrm { q } & \mathrm { r } & ( \mathrm { p } \vee \sim \mathrm { q } ) \wedge \sim \mathrm { r } \\
• \hline \mathrm { T } & \mathrm { T } & \mathrm { T } & \mathrm { F } \\
• \mathrm { T } & \mathrm { F } & \mathrm { F } & \mathrm { T } \\
• \mathrm { T } & \mathrm { F } & \mathrm { T } & \mathrm { F } \\
• \mathrm { T } & \mathrm { F } & \mathrm { F } & \mathrm { T } \\
• \mathrm { F } & \mathrm { T } & \mathrm { T } & \mathrm { F } \\
• \mathrm { F } & \mathrm { T } & \mathrm { F } & \mathrm { F } \\
• \mathrm { F } & \mathrm { F } & \mathrm { T } & \mathrm { F } \\
• \mathrm { F } & \mathrm { F } & \mathrm { F } & \mathrm { T }
• \end{array}\)
• B)
• \(\begin{array} { c c c c }
• \mathrm { p } & \mathrm { q } & \mathrm { r } & ( \mathrm { p } \vee \sim \mathrm { q } ) \wedge \sim \mathrm { r } \\
• \hline \mathrm { T } & \mathrm { T } & \mathrm { T } & \mathrm { F } \\
• \mathrm { T } & \mathrm { F } & \mathrm { F } & \mathrm { T } \\
• \mathrm { T } & \mathrm { F } & \mathrm { T } & \mathrm { F } \\
• \mathrm { T } & \mathrm { F } & \mathrm { F } & \mathrm { T } \\
• \mathrm { F } & \mathrm { T } & \mathrm { T } & \mathrm { F } \\
• \mathrm { F } & \mathrm { T } & \mathrm { F } & \mathrm { T } \\
• \mathrm { F } & \mathrm { F } & \mathrm { T } & \mathrm { F } \\
• \mathrm { F } & \mathrm { F } & \mathrm { F } & \mathrm { F }
• \end{array}\)
• C)
• \(\begin{array} { c c c c }
• \mathrm { p } & \mathrm { q } & \mathrm { r } & ( \mathrm { p } \vee \sim \mathrm { q } ) \wedge \sim \mathrm { r } \\
• \mathrm { T } & \mathrm { T } & \mathrm { T } & \mathrm { F } \\
• \mathrm { T } & \mathrm { F } & \mathrm { F } & \mathrm { T } \\
• \mathrm { T } & \mathrm { F } & \mathrm { T } & \mathrm { F } \\
• \mathrm { T } & \mathrm { F } & \mathrm { F } & \mathrm { T } \\
• \mathrm { F } & \mathrm { T } & \mathrm { T } & \mathrm { T } \\
• \mathrm { F } & \mathrm { T } & \mathrm { F } & \mathrm { F } \\
• \mathrm { F } & \mathrm { F } & \mathrm { T } & \mathrm { F } \\
• \mathrm { F } & \mathrm { F } & \mathrm { F } & \mathrm { F }
• \end{array}\)
• D)
• \(\begin{array} { c c c c }
• \mathrm { p } & \mathrm { q } & \mathrm { r } & ( \mathrm { p } \vee \sim \mathrm { q } ) \wedge \sim \mathrm { r } \\
• \hline \mathrm { T } & \mathrm { T } & \mathrm { T } & \mathrm { T } \\
• \mathrm { T } & \mathrm { F } & \mathrm { F } & \mathrm { T } \\
• \mathrm { T } & \mathrm { F } & \mathrm { T } & \mathrm { F } \\
• \mathrm { T } & \mathrm { F } & \mathrm { F } & \mathrm { T } \\
• \mathrm { F } & \mathrm { T } & \mathrm { T } & \mathrm { T } \\
• \mathrm { F } & \mathrm { T } & \mathrm { F } & \mathrm { F } \\
• \mathrm { F } & \mathrm { F } & \mathrm { T } & \mathrm { F } \\
• \mathrm { F } & \mathrm { F } & \mathrm { F } & \mathrm { T }
• \end{array}\)

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Definitions:

Confounding

A situation in statistical analysis where the effect of one variable on another is distorted by a third variable.

Confounded

A situation in research where the effect of one variable cannot be separated from the effect of another, affecting the validity of conclusions.

Packaging Information

Refers to the details and data provided on the packaging of products, highlighting content, usage, and safety information.

Appearance

The way that something or someone looks, which can include aspects of design, presentation, or physical manifestation.