A tool manufacturer tests three types of cutters used in a lathe operation. One type is a laminated steel cutter consisting of very hard high carbon steel sandwiched between two softer steels. Another is a special high speed tool steel cutter developed using powder metallurgy. The final one is made from cryogenically treated steel. Several cutters of each type are tested to see how long they will last (in hours) in continuous operation until they need to be sharpened. The times are recorded for each cutter used in the study and the results are summarized below. Assume the data are three independent simple random samples, one from each of the three populations of cutters, and the distribution of the times until sharpening is needed is normal. Is there sufficient evidence that there is a difference in the mean time until sharpening between the three cutters at the α=.05 significance level? Laminated SteelHigh-speed SteelCryogenically Treated Steel
24.9940.3645.67
27.4626.4740.78
30.6839.9528.11
33.6726.2847.88
28.2648.5438.77
40.5532.4028.77
28.1726.1136.85
31.4744.1441.80
45.1131.3550.16
45.8236.1136.18
30.9736.7730.51
21.9032.6738.76
43.0028.2837.59
49.4448.1732.95
36.6929.3732.97
37.6434.3442.17
38.0037.7629.98
29.3616.0651.76
39.0020.4120.49
45.8646.3143.57
42.6124.3437.96
42.2321.9744.20
39.6040.9845.12
37.8623.6742.25
28.7435.3638.15
35.8128.0038.45
37.0226.2741.05
41.57 40.23
30.94 39.07
37.70 26.73
33.00 41.01
18.25 35.69
36.06
31.02
40.01
22.62
36.13
16.89
34.71

Chanelle deposits $7,500 into the bank. she does not withdraw or deposit money for 6 years. she earns 6% interest during that time. what will the balance be when she is finally able to withdraw her money?

In a sample of 2023 u.s. adults, 373 said franklin roosevelt was the best president since world war ii. two u.s. adults are selected at random from the population of all u.s. adults without replacement. assuming the sample is representative of all u.s. adults, complete parts (a) through (d). (a) find the probability that both adults say franklin roosevelt was the best president since world war ii. the probability that both adults say franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (b) find the probability that neither adult says franklin roosevelt was the best president since world war ii. the probability that neither adult says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (c) find the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii. the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (d) which of the events can be considered unusual? explain. select all that apply. the event in part left parenthesis a right parenthesis is unusual because its probability is less than or equal to 0.05. the event in part (b) is unusual because its probability is less than or equal to 0.05. none of these events are unusual. the event in part (c) is unusual because its probability is less than or equal to 0.05.

Asquare and an equilateral triangle have the same perimeter. each side the triangle is 4 inches longer than each side of the square. what is the perimeter of the square