In a queue, the 1st member and 2nd member each receives 1 apple; the 3rd and 4th member each receives 2 apples; the 5th member receives 3 apples. This pattern repeats for the remaining members of the queue. If the group has 97 members in total, how many apples are there altogether?

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125 tickets were sold for the jazz band concert for a total of $1,022. students tickets cost $6 each, and general admission tickets cost $10 each. how many of each kind of tickets were sold?

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Astudy was interested in determining if eating milk chocolate lowered someone's cholesterol levels. ten people's cholesterol was measured. then, each of these individuals were told to eat 100g of milk chocolate every day and to eat as they normally did. after two weeks, their cholesterol levels were measured again. is there evidence to support that their cholesterol levels went down? how should we write the alternative hypothesis? (mud = the population mean difference= before - after)a. ha: mud = 0b. ha: mud > 0c. ha: mud < 0d. ha: mud does not equal 0