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Ali and sophie are budding musicians who have been playing thursday night shows at a local live music venue. the venue told them that over the course of the last four weeks, they’ve had 900 tickets sold for their shows. they are curious to see how many people are repeat fans, coming to more than one show. the venue’s recent customer survey says that 60% of fans have come once, 30% have come twice, 6% have come three times, and 4% have come four times. how many unique people have seen an ali and sophie show during this time period? a) 584 b) 604 c) 621 d) 681

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Final answer:

To find the number of unique people who have seen an Ali and Sophie show during this time period, we add up the percentages of fans who have come to different numbers of shows. The correct answer is 900 fans.

Step-by-step explanation:

To find the number of unique people who have seen an Ali and Sophie show during this time period, we need to add up the percentages of fans who have come to different numbers of shows. Let's calculate:

  1. 60% of fans have come once: 900 * 0.6 = 540 fans
  2. 30% of fans have come twice: 900 * 0.3 = 270 fans
  3. 6% of fans have come three times: 900 * 0.06 = 54 fans
  4. 4% of fans have come four times: 900 * 0.04 = 36 fans

To find the total number of unique people, we add up all the fans at different show frequencies: 540 + 270 + 54 + 36 = 900 fans.

Therefore, the correct answer is 900 (fans).

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