Bags of sugar from a production line have a mean weight of 5.020 kg with a standard deviation of 0.078 kg. The bags of sugar are
packed in cartons of 20 bags each, and the cartons are piled in lots of 12 onto pallets for shipping. a) What percentage of cartons would be expected to contain less than 100 kg of sugar? b) Find the upper quartile of sugar content of a carton. c) What mean weight of an individual bag of sugar will result in 95% of the pallets weighing more than 1200 kg.?
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Answer:
Step-by-step explanation:
Let x be the number of adults and y be the number of campers.
There are rooms for 450 people, so
x+y≤450.
Each adult costs $7, then x adults cost $7x.
Each camper costs $4, then y campers cost $4y.
There is a maximum budget of $1,150, so
7x+4y≤1,150
Hence, you get the system of two inequalities: