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Russell surveyed 1616 students at his school and found that 44 of them planned to take orchestra as their next elective. If Russell surveys 1212 more students, how many of them are probably planning on taking orchestra as an elective, based on past data?\newline____ students\newline

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Q. Russell surveyed 1616 students at his school and found that 44 of them planned to take orchestra as their next elective. If Russell surveys 1212 more students, how many of them are probably planning on taking orchestra as an elective, based on past data?\newline____ students\newline
  1. Calculate Proportion: Calculate the proportion of students who chose orchestra in the initial survey. \newline44 students out of 1616 chose orchestra.\newlineProportion = 416=0.25\frac{4}{16} = 0.25
  2. Apply Proportion: Apply the proportion to the additional 1212 students Russell plans to survey.\newlineExpected number of students choosing orchestra = 0.25×12=30.25 \times 12 = 3

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