A survey of 300 workers yielded the following information: 231 workers belonged

Question

A survey of 300 workers yielded the following information: 231 workers belonged to a union, and 195 were Democrats. If 172 of the union members were Democrats, how many workers were in the following situations? belonged to a union or were Democrats belonged to a union but were not Democrats were Democrats but did not belong to a union neither belonged to a union nor were Democrats Dr. Hawk works in an allergy clinic, and his patients have the following allergies: 68 patients are allergic to dairy products, 93 are allergic to pollen, 91 are allergic to animal dander, 31 are allergic to all three, 29 are allergic only to pollen, 12 are allergic only to dairy products, and 40 are allergic to dairy products and pollen. What percent of Dr. Hawk's patients are allergic to animal dander? What percent of Dr. Hawk's patients are allergic only to animal dander? A die is rolled, and a coin is tossed. Use the Fundamental Principle of Counting to determine how many different outcomes are possible. Construct a tree diagram to list all possible outcomes. An audio equipment store has ten different amplifiers, four tuners, six turntables, eight tape decks, six compact disc players, and thirteen speakers. Assuming that all components are compatible with each other, how many different complete stereo systems are available?

Explanation / Answer

rules only allow one question per post so I only answered one

2) a) (231+23)=254
b) 231-195 = 36
c) 23
d)300-231-23=46

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