Sets (2) Worksheet With Answer Key Page 8

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A local television station sends out questionnaires to determine if viewers would rather see a
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documentary, an interview show, or reruns of a game show. There were 400 responses with the
following results:
120 were interested in an interview show and a documentary, but not reruns;
16 were interested in an interview show and reruns, but not a documentary;
56 were interested in reruns but not documentaries or interviews;
96 were interested in an interview show but not a documentary;
40 were interested in a documentary and reruns;
24 were interested in an interview show and reruns;
32 were interested in none of the three.
How many are interested in exactly one kind of show?
Solve the problem.
There are 777,859 physicians in the United States.
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177,030 are women.
33,947 physicians have cardiology as their specialty.
6,817 women physicians specialize in cardiology.
Identify the Venn diagram in which U is the set of all physicians, W is the set of all women
physicians, and C is the set of all U.S. physicians specializing in cardiology. Fill in each of the four
regions of the Venn diagram with the number of physicians who belong to that region.
Use your Venn diagram to answer the questions.
How many physicians in the United States are there who are men specializing in cardiology?
How many male physicians in the United States do not specialize in cardiology?
Prestatistics

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