Solve the Inequality by Using Algebraic and Graphical Methods $$( x - 4 ) ^ { 3 } < 108$$

question 126

Multiple Choice

Solve the inequality by using algebraic and graphical methods. Round to three decimal places, if necessary.
- $$( x - 4 ) ^ { 3 } < 108$$

• A) \(x < 9.769\)
• B) \(x < 1.769\)
• C) \(x < 10\)
• D) \(x < 8.762\)

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Definitions:

Significance Level

The probability of rejecting the null hypothesis when it is true, often denoted by alpha, and used as a threshold to interpret the p-value in hypothesis testing.

Confidence Interval

A range of values derived from sample data that is believed to contain the true population parameter with a certain level of confidence.

P-value

A statistical measure that helps in determining the significance of the results from a test, indicating the probability of observing results at least as extreme as those seen, under the assumption that the null hypothesis is true.

Chi-square Distribution

The Chi-square distribution is a probability distribution used in statistical significance tests, particularly suitable for categorical data.