A coach asked her athletes if they enjoy running. Sixty-five percent of the team do not like to run. Of those, 70% enjoy cycling, while 80% of those who enjoy running also enjoy cycling. The tree diagram shows how the athletes are divided into subgroups. What is the total percentage of players who don't enjoy cycling? 26.5% 27.5% 35.5% 65.5%

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter8: Linear Functions
Section8.1: Relations And Functions
Problem 2E
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A coach asked her athletes if they enjoy running. Sixty-five percent of the team do not like to run. Of those, 70% enjoy cycling, while 80% of those who enjoy running also enjoy cycling. The tree diagram shows how the athletes are divided into subgroups.



What is the total percentage of players who don't enjoy cycling?

26.5% 27.5% 35.5% 65.5%

This image represents a hierarchical tree diagram, often used to visually organize information and illustrate relationships between different entities or concepts.

**Explanation:**

1. **Root Node (left-most box):**
   - The single blue box on the left represents the root node, which is the starting point or the primary subject of the diagram.

2. **Intermediate Nodes (second level):**
   - Two connecting lines extend from the root node to two orange boxes. These are intermediate nodes that represent major subcategories or key concepts derived from the root node.

3. **Subordinate Nodes (third and fourth levels):**
   - From each orange box, three blue boxes branch out, illustrating further subdivisions or specific topics related to each intermediate node.

Levels of Hierarchy:
- **Level 1 (Root Node):** The root node at the left-most part signifies the primary entity or concept.
- **Level 2 (Intermediate Nodes):** The next level consists of two key subcategories or major branches, with these nodes colored in orange.
- **Level 3 & 4 (Subordinate Nodes):** These levels depict further details or subtopics, with each major branch splitting again into three blue boxes per intermediate node. 

Each blue box on the third level has a line extending to a blue box on the fourth level, making the total number of subordinate nodes six.

This diagram effectively visualizes hierarchical relationships and can be used in multiple educational contexts such as organizational structures, project planning, biological classifications, or decision trees.
Transcribed Image Text:This image represents a hierarchical tree diagram, often used to visually organize information and illustrate relationships between different entities or concepts. **Explanation:** 1. **Root Node (left-most box):** - The single blue box on the left represents the root node, which is the starting point or the primary subject of the diagram. 2. **Intermediate Nodes (second level):** - Two connecting lines extend from the root node to two orange boxes. These are intermediate nodes that represent major subcategories or key concepts derived from the root node. 3. **Subordinate Nodes (third and fourth levels):** - From each orange box, three blue boxes branch out, illustrating further subdivisions or specific topics related to each intermediate node. Levels of Hierarchy: - **Level 1 (Root Node):** The root node at the left-most part signifies the primary entity or concept. - **Level 2 (Intermediate Nodes):** The next level consists of two key subcategories or major branches, with these nodes colored in orange. - **Level 3 & 4 (Subordinate Nodes):** These levels depict further details or subtopics, with each major branch splitting again into three blue boxes per intermediate node. Each blue box on the third level has a line extending to a blue box on the fourth level, making the total number of subordinate nodes six. This diagram effectively visualizes hierarchical relationships and can be used in multiple educational contexts such as organizational structures, project planning, biological classifications, or decision trees.
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