Rationalize the Denominator and Simplify $\frac { 8 x } { \sqrt [ 5 ] { 27 x ^ { 17 } y ^ { 23 } } }$

question 173

Multiple Choice

Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.
- $\frac { 8 x } { \sqrt [ 5 ] { 27 x ^ { 17 } y ^ { 23 } } }$

• A) \(\frac { 8 \sqrt [ 5 ] { 27 x ^ { 17 } y ^ { 23 } } } { 27 x ^ { 17 } y ^ { 23 } }\)
• B) \(\frac { 8 \sqrt [ 5 ] { 27 x ^ { 2 } y ^ { 3 } } } { 3 x ^ { 3 } y ^ { 4 } }\)
• C) \(\frac { 8 \sqrt [ 5 ] { 9 x ^ { 3 } y ^ { 2 } } } { 3 x ^ { 4 } y ^ { 5 } }\)
• D) \(\frac { 8 \sqrt [ 5 ] { 9 x ^ { 3 } y ^ { 2 } } } { 3 x ^ { 3 } y ^ { 4 } }\)

Identify the components of a confidence interval (point estimate, margin of error).

Differentiate between terms related to confidence intervals (point estimate, confidence limits, interval estimate).

Understand the effect of sample size (N) on the width of a confidence interval.

Apply formulas correctly to calculate the upper and lower limits of a confidence interval.

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Definitions:

CPI

Consumer Price Index, a measure that examines the weighted average of prices of a basket of consumer goods and services, used as an indicator of inflation.

Real Wages

Wages or salaries that have been adjusted for inflation, indicating the purchasing power of the income received by workers.

CPI

The Consumer Price Index is an indicator that calculates the weighted average price of a selection of consumer goods and services, including food, medical care, and transportation.

Real Wages

The purchasing power of wages, taking into account inflation, reflecting the amount of goods and services that can be bought with the wages earned.