Questions: Fill in the blank. A combination of numbers, variables, and operation symbols is called an algebraic expression. equation. inequality. model.

Fill in the blank. A combination of numbers, variables, and operation symbols is called an algebraic expression. equation. inequality. model.

Transcript text: Fill in the blank. A combination of numbers, variables, and operation symbols is called an algebraic $\square$ expression. equation. inequality. model.

Solution

Solution Steps

To solve this problem, we need to identify the correct term that describes a combination of numbers, variables, and operation symbols. This is a fundamental concept in algebra.

Step 1: Identify the Concept

We need to determine the correct term that describes a combination of numbers, variables, and operation symbols in algebra. The options provided are:

\( \text{expression} \)
\( \text{equation} \)
\( \text{inequality} \)
\( \text{model} \)

Step 2: Analyze the Options

An \( \text{expression} \) is a combination of numbers, variables, and operation symbols without an equality sign.
An \( \text{equation} \) includes an equality sign, indicating that two expressions are equal.
An \( \text{inequality} \) shows a relationship where one expression is not equal to another.
A \( \text{model} \) typically refers to a representation of a real-world situation using mathematical concepts.

Step 3: Select the Correct Term

Given the definitions, the term that best fits the description of a combination of numbers, variables, and operation symbols is \( \text{expression} \).

Final Answer

The answer is \( \boxed{\text{expression}} \).

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The data sets give the number of platinum albums for the five male artists and the five female artists in a country with the most platinum albums through a recent year. (Platinum albums sell one million units or more.) Complete parts (a) through (d) below. Male Artists with the most platinum albums Artist Platinum Albums Artist 1 142 Artist 2 97 Artist 3 85 Artist 4 82 Artist 5 69 Female Artists with the most platinum albums Artist Platinum Albums Artist 1 67 Artist 2 62 Artist 3 56 Artist 4 56 Artist 5 46 a. Without calculating, which data set has the greater mean number of platinum albums? Explain your answer. A. Female artists have the greater mean number of platinum albums because all of the data items for the women are less than the greatest data item for the men. B. Female artists have the greater mean number of platinum albums because all of the data items for the women are greater than the greatest data item for the men. C. Male artists have the greater mean number of platinum albums because all of the data items for the men are greater than the greatest data item for the women. D. Male artists have the greater mean number of platinum albums because all of the data items for the men are less than the greatest data item for the women. b. Verify your conjecture from part (a) by calculating the mean number of platinum albums for each data set. Mean (Male artists) =95 Mean (Female artists) =57.4 (Round to two decimal places as needed.) c. Without calculating, which data set has the greater standard deviation? Explain your answer. A. Male artists have the greater standard deviation because there is a greater spread in the data for men. B. Male artists have the greater standard deviation because there is a lower spread in the data for men. C. Female artists have the greater standard deviation because there is a greater spread in the data for women. D. Female artists have the greater standard deviation because there is a lower spread in the data for women.

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