Set # 2 Due on Sunday 14/03/2021 Ex.1 (2 pts.)

Eve has three containers: two boxes and one bucket. Can she put 10 nuts in these three containers so that none of them is empty and:

in each container there is a different odd number of nuts? Why?

in each container there is a different even number of nuts? Why?

Ex.2 (3 pts.)

In a magic square the sum of numbers in each line, column and diagonal must be the same. How much is the sum a+b+c in this square?

A80-foot piece of siding is cut into three pieces so that the second piece is four times four times as long as the first piece and the third piece is five times as long as the first piece. if x represents the length of the first piece, find the lengths of all three pieces.

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)

20.ju inces. which ordered pair is a viable solution if x represents the number of books he orders and y represents the total weight of the books, in ounces? (-3,-18) (-0.5, -3) (0,0) (0.5, 3)