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The Venn diagram shows the number of patients seen at a pediatrician’s office in one week for colds, C, ear infections, E, and allergies, A.


How many patients had allergies or ear infections, but not both?

The Venn diagram shows the number of patients seen at a pediatrician s office in one week for colds, C, ear infections, E, and allergies, A. How many patients h class=

Verified Answer :

Answer:  There are 24 patients who had allergies or ear infections but not both.

Step-by-step explanation:

Since we have given that

Number of patients having ear infections = 9

Number of patients having allergies = 15

We need to find the number of patients had allergies or ear infections, but not both.

According to Venn diagram , we get that

Number of patients had allergies or ear infections is given by

\(15+9\\\\=24\)

Hence, there are 24 patients who had allergies or ear infections but not both.

Venn diagrams depict the similarities and differences between two concepts visually. The number of patients that had allergies or ear infections, but not both are 24.

What is the Venn diagram?

A Venn diagram is used to understand a large sum of data about a small population or sample visually with ease. It shows the difference and similarities between the sampled space.

As we can see in the given Venn diagram,

The number of patients that only had allergies = 15

The number of patients that only had ear infections = 9

Therefore, the number of patients that had allergies or ear infections, but not both can be written as,

= The number of patients that only had allergies + The number of patients that only had ear infections

= 15 + 9

= 24

Hence, the number of patients that had allergies or ear infections, but not both are 24.

Learn more about Venn Diagram:

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