Survey of Mathematics

2.5 Set Applications and Survey Data Analysis 85 Of the customers surveyed, how many liked a) none of these types of movies? 20 b) only dramas? 121 c) exactly one of these types of movies? 244 d) exactly two of these types of movies? 65 e) dramas or comedies? 290 8. Book Purchases A survey of 85 customers was taken at Parnassus Books regarding the types of books purchased. The survey determined that 44 purchased mysteries. 33 purchased science fiction. 29 purchased romance novels. 13 purchased mysteries and science fiction. 5 purchased science fiction and romance novels. 11 purchased mysteries and romance novels. 2 purchased all three types of books. How many of the customers surveyed purchased a) only mysteries? 22 b) mysteries and science fiction, but not romance novels? 11 c) mysteries or science fiction? 64 d) mysteries or science fiction, but not romance novels? 50 e) exactly two types? 23 9. Streaming Services An online survey conducted by the Nielsen Company, asked participants to identify which streaming services they subscribed to monthly. The data from this survey showed that 253 subscribed to Netflix. 181 subscribed to Hulu. 202 subscribed to Max. 98 subscribed to Netflix and Hulu. 85 subscribed to Netflix and Max. 90 subscribed to Hulu and Max. 58 subscribed to all three streaming services. 29 subscribed to none of these streaming services. a) How many surveys were completed? 450 Of those who completed the survey, how many subscribed to b) Netflix and Hulu, but not Max? 40 c) Max, but neither Netflix nor Hulu? 85 d) exactly two of these services? 99 e) at least one of these services? 421 10. Jobs at a Restaurant In a survey of employees at Qdoba Mexican Eats, it was determined that 8 cooked food. 9 washed dishes. 18 operated the cash register. 4 cooked food and washed dishes. 5 washed dishes and operated the cash register. 3 cooked food and operated the cash register. 2 did all three jobs. 5 did none of these jobs. a) How many employees were surveyed? 30 Of the employees surveyed, how many b) only cooked food? 3 c) only operated the cash register? 12 d) washed dishes and operated the cash register, but did not cook food? 3 e) washed dishes or operated the cash register, but did not cook food? 17 f) did at least two of these jobs? 8 11. Homeowners’ Insurance Policies A committee of the Florida legislature decided to analyze 350 homeowners’ insurance policies to determine if the consumers’ homes were covered for damage due to sinkholes, mold, and floods. The following results were determined. 170 homes were covered for damage due to sinkholes. 172 homes were covered for damage due to mold. 234 homes were covered for damage due to floods. 105 homes were covered for damage due to sinkholes and mold. 115 homes were covered for damage due to mold and floods. 109 homes were covered for damage due to sinkholes and floods. 78 homes were covered for damage due to all three conditions. How many of the homes a) were covered for damage due to mold but were not covered for damage due to sinkholes? 67 b) were covered for damage due to sinkholes or mold? 237 c) were covered for damage due to mold and floods, but were not covered for damage due to sinkholes? 37 d) were not covered for damage due to any of the three conditions? 25 ICP/Incamerastock/Alamy Stock Photo

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