Questions: Use the graph, which shows the number of hours Americans sleep, to determine the truth value of each simple statement. Then determine the truth value of the compound statement. It is false that 9% of Americans get 8 hours or more of sleep each night and 32% get 6 hours of sleep each night. What is the truth value of the simple statement "9% of Americans get 8 hours or more of sleep each night"? False True

Use the graph, which shows the number of hours Americans sleep, to determine the truth value of each simple statement. Then determine the truth value of the compound statement. It is false that 9% of Americans get 8 hours or more of sleep each night and 32% get 6 hours of sleep each night. What is the truth value of the simple statement "9% of Americans get 8 hours or more of sleep each night"? False True
Transcript text: Use the graph, which shows the number of hours Americans sleep, to determine the truth value of each simple statement. Then determine the trith value of the compound statement. It is false that $9 \%$ of Americans get 8 hours or more of sleep each night and $32 \%$ get 6 hours of sleep each night. What is the truth value of the simple statement " $9 \%$ of Americans get 8 hours or more of sleep each night"? False True
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Solution

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Solution Steps

Step 1: Analyze the Question

The question asks for the truth value of the statement "9% of Americans get 8 hours or more of sleep each night". We need to consult the provided pie chart to determine if this statement is true or false.

Step 2: Consult the Pie Chart

The pie chart shows the percentage of Americans who get different amounts of sleep each night. The chart indicates that 16% of Americans get 8 hours or more sleep each night (combining the 9% who sleep 8 hours and 7% who sleep more than 8 hours).

Step 3: Determine Truth Value

Since the chart indicates that 16% of Americans get 8 hours or more sleep each night, and the statement claims only 9% do, the statement is false.

Final Answer: False

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