A company manufactures penny number 2 nails that are 1 inch in length. The actual length is allowed to vary by up to \displaystyle \frac{1}{32} 32
1
​
inch.

a) Write and solve an absolute value equation to find the minimum and maximum acceptable nail length. (Use \displaystyle ll as the variable to represent length)

b) A penny number 2 nail is 1.05 inches long. Is the nail acceptable? Explain.

Flashback to semester a. are triangles pqr and stu congruent? what is the congruency that proves they are congruent? what is the perimeter of triangle pqr? show your work.

Which approach to the theory-and-research cycle does the following sequence reflect: (1) specific observations suggest generalizations, (2) generalizations produce a tentative theory, (3) the theory is tested through the formation of hypotheses, and (4) hypotheses may provide suggestions for additional observations?

Suppose you just purchased a digital music player and have put 8 tracks on it. after listening to them you decide that you like 4 of the songs. with the random feature on your player, each of the 8 songs is played once in random order. find the probability that among the first two songs played (a) you like both of them. would this be unusual? (b) you like neither of them. (c) you like exactly one of them. (d) redo () if a song can be replayed before all 8 songs are played.