In an orchestra, 21 people can play stringed instruments, 15 can play brass, and 11 can play porcussion. Further, 8 of the performers can play both strings and brass, whereas 7 can play both strings and percussion. If no one can play all three types of instruments, what are the maximum and minimum numbers of people in the orchestra? (Hint: Consider expressing the numbers in some of the regions of your diagram in terms of a single unknown, say x) The maximum number of people is and the minimum number of people is

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Q: Consider the following problem: a farmer with 950 feet of fencing wants to enclose a rectangular…

A: according to our guidelines we can answer only three subparts  and rest can be reposted.

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Q: 23. Find two numbers whose sum is 10 and the sum of their squares is a minimum.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.