These tables represent an exponential function. find the average rate of
change for the interval from x = 8 to x = 9.
х
y
1
interval
average rate
of change
2
3
]*3
9
]x3
27
o to 1
1 to 2
2 to 3
3 to 4
4 to 5
5 to 6
i
18
54
162
81
-]x3
i
7x3
]x3
243
729
486

You have a square piece of cardboard that measures 14 inches on each side. to build a box, you cut congruent squares out of each corner of the cardboard. use the picture to find the area of the cardboard you were used to build the box

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(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.)