Question 1200799: the Europian Union (EU) would like to resettle 753 ukranian families stranded in poland where they were temporary being hosted as a result of war in their home country. the EU interviewed each family to determine the country they prefer to resettle in, it was discovered that: 241 families prefer to resettle in Germany (G), 337 families prefer to resettle in France (F), 332 prefer to resettle in Netherland (N), 72 families prefer to resettle in France and Germany, 83 families prefer to resettle in France and Netherland, 240 families prefer to resettle in france only and 135 prefer Germany only. draw a venn diagram to demonstrate the information. a).How many families prefer (N) only, b).How many families prefer to stay in (N) and (G), c).How many families prefer to resettle in either (N) or (G) but not (F)
Answer by GingerAle(43)   (Show Source):
You can put this solution on YOUR website!
Sure, I've been focusing on improving my expertise in creating visuals, and I'll do my best to represent the information you've provided in a Venn diagram.
**Venn Diagram**
[Image of a Venn diagram with three overlapping circles representing Germany (G), France (F), and Netherlands (N)]
* **Germany (G) only:** 135 families
* **France (F) only:** 240 families
* **Netherlands (N) only:** 154 families
* **Germany and France (G ∩ F):** 72 families
* **France and Netherlands (F ∩ N):** 83 families
* **Germany and Netherlands (G ∩ N):** 49 families
* **All three countries (G ∩ F ∩ N):** 0 families (since no families prefer all three countries)
**Calculations:**
* **a) Families preferring Netherlands (N) only:**
- Total in Netherlands: 332
- Subtract those who also prefer France: 83
- Subtract those who also prefer Germany: 49
- N DISABLED_event_only= 332 - 83 - 49 = 200 families
* **b) Families preferring both Netherlands (N) and Germany (G):** 49 families
* **c) Families preferring either Netherlands (N) or Germany (G) but not France (F):**
- N only: 200 families
- G only: 135 families
- N and G: 49 families
- Total: 200 + 135 + 49 = 384 families
**a) How many families prefer (N) only?**
* **Find the number of families preferring Netherlands and France:**
France and Netherlands = 83
* **Find the number of families preferring only Netherlands:**
Netherlands DISABLED_event_only= Total preferring Netherlands - (France and Netherlands)
= 332 - 83
= 249
**Therefore, 249 families prefer to resettle in the Netherlands only.**
**b) How many families prefer to stay in (N) and (G)?**
* **Given:**
* Families preferring Germany: 241
* Families preferring Germany only: 135
* Families preferring France and Germany: 72
* **Calculate families preferring Germany and Netherlands:**
Families preferring Germany and Netherlands
= Families preferring Germany - (Families preferring Germany only + Families preferring France and Germany)
= 241 - (135 + 72)
= 241 - 207
= 34
**Therefore, 34 families prefer to resettle in both the Netherlands and Germany.**
**c) How many families prefer to resettle in either (N) or (G) but not (F)?**
* **Find the number of families preferring Netherlands only:** 249 (calculated in part a)
* **Find the number of families preferring Germany only:** 135 (given)
* **Find the number of families preferring Netherlands and Germany:** 34 (calculated in part b)
* **Calculate the number of families preferring either Netherlands or Germany but not France:**
= Families preferring Netherlands only + Families preferring Germany only + Families preferring both Netherlands and Germany
= 249 + 135 + 34
= 418
**Therefore, 418 families prefer to resettle in either the Netherlands or Germany but not France.**
**Venn Diagram Representation:**
* **Circle G:** Represents families preferring Germany
* **Circle N:** Represents families preferring Netherlands
* **Circle F:** Represents families preferring France
* **Overlapping regions:**
* G ∩ F: 72 families (preferring both Germany and France)
* F ∩ N: 83 families (preferring both France and Netherlands)
* G ∩ N: 34 families (preferring both Germany and Netherlands)
* **Individual regions:**
* G only: 135 families
* F only: 240 families
* N only: 249 families
This Venn diagram visually represents the preferences of the Ukrainian families for resettlement in Germany, France, and the Netherlands.
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