Solve the Absolute Value Inequality $x$ , the Number of Outcomes That Result in Region 1

question 131

Multiple Choice

Solve the absolute value inequality. Other than ∅, use interval notation to express the solution set and graph the
solution set on a number line.
-A spinner has ten regions numbered 1 through 10 . If the spinner is spun 100 times, we would expect about 10 of the outcomes to be Region 1. It can be determined that the spinner is unbalanced if $x$ , the number of outcomes that result in Region 1, satisfies $\left| \frac { x - 10 } { 3 } \right| \geq 1.645$ . Describe the number of outcomes that determine an unbalanced spinner that is spun 100 times.

• A) Fewer than 6 or more than 14 outcomes
• B) Between 6 and 14 outcomes
• C) Fewer than 9 or more than 17 outcomes
• D) Between 9 and 17 outcomes

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Definitions:

Current Ratio

A financial metric used to assess a company's liquidity by dividing current assets by current liabilities, indicating its ability to pay short-term obligations.

Break-even Point

The break-even point is the point at which total costs equal total revenue, meaning that a business or project is neither making a profit nor suffering a loss.

Current Ratio

A liquidity ratio that measures a company's ability to pay short-term obligations with its current assets.

Net Margin

A profitability metric calculated as net income divided by revenue, expressing the percentage of revenue that remains as profit after all expenses are deducted.