Of the 4,600 students at Medium Suburban College (MSC), 50 play collegiate soccer, 60 play collegiate lacrosse, and 96 play collegiate football. Only 3 students play both collegiate soccer and lacrosse, 6 play collegiate soccer and football, and 15 play collegiate lacrosse and football. No students play all three sports. Soccer Lacrosse y Footbal 1 (a) Solve the Venn diagram. HINT [See Example 4.] X = y = V = W = t = (b) Complete the following sentence: % of the college soccer players also play one of the other two sports at the collegiate level.

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**Text Transcription for Educational Website with Venn Diagram Description**

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Of the 4,600 students at Medium Suburban College (MSC), 50 play collegiate soccer, 60 play collegiate lacrosse, and 96 play collegiate football. Only 3 students play both collegiate soccer and lacrosse, 6 play collegiate soccer and football, and 15 play collegiate lacrosse and football. No students play all three sports.

**Venn Diagram Explanation:**

The Venn diagram consists of three intersecting circles, each representing a sport:

- **Soccer** Circle
- **Lacrosse** Circle
- **Football** Circle

Within the diagram, the overlapping areas between circles indicate students who play multiple sports. The variables x, y, z, u, v, w, and t are used to denote the number of students in each segment of the diagram:

- **x**: Students who only play soccer
- **y**: Students who only play lacrosse
- **z**: Students who only play football
- **u**: Students who play both soccer and lacrosse
- **v**: Students who play both soccer and football
- **w**: Students who play both lacrosse and football
- **t**: Students who play all three sports (which is noted to be 0)

**Tasks:**

(a) Solve the Venn diagram. HINT [See Example 4.]

- x = [Input Field]
- y = [Input Field]
- z = [Input Field]
- u = [Input Field]
- v = [Input Field]
- w = [Input Field]
- t = [Input Field]

(b) Complete the following sentence:

[Input Field] % of the college soccer players also play one of the other two sports at the collegiate level.

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Transcribed Image Text:**Text Transcription for Educational Website with Venn Diagram Description** --- Of the 4,600 students at Medium Suburban College (MSC), 50 play collegiate soccer, 60 play collegiate lacrosse, and 96 play collegiate football. Only 3 students play both collegiate soccer and lacrosse, 6 play collegiate soccer and football, and 15 play collegiate lacrosse and football. No students play all three sports. **Venn Diagram Explanation:** The Venn diagram consists of three intersecting circles, each representing a sport: - **Soccer** Circle - **Lacrosse** Circle - **Football** Circle Within the diagram, the overlapping areas between circles indicate students who play multiple sports. The variables x, y, z, u, v, w, and t are used to denote the number of students in each segment of the diagram: - **x**: Students who only play soccer - **y**: Students who only play lacrosse - **z**: Students who only play football - **u**: Students who play both soccer and lacrosse - **v**: Students who play both soccer and football - **w**: Students who play both lacrosse and football - **t**: Students who play all three sports (which is noted to be 0) **Tasks:** (a) Solve the Venn diagram. HINT [See Example 4.] - x = [Input Field] - y = [Input Field] - z = [Input Field] - u = [Input Field] - v = [Input Field] - w = [Input Field] - t = [Input Field] (b) Complete the following sentence: [Input Field] % of the college soccer players also play one of the other two sports at the collegiate level. ---
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