Write a absolute value equation
a factory produces widgets whose length must be within 1.5 mm of an ideal length of 47 mm. a factory supervisor wants to mark rulers with the least and greatest acceptable length for each widget for workers to use in quality control inspections. let l
be the length of the markings along the ruler.

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?

What is the effect on the graph of the function f(x)=x when f(x) is replaced with -f(x)+4

Christine wong has asked dave and mike to her move into a new apartment on sunday morning. she has asked them both, in case one of them does not show up. from past experience, christine knows that there is a 40% chance that dave will not show up and a 30% chance that mik a. what is the probability that both dave and mike will show up? (round your answer to 2 decimal places.) b. what is the probability that at least one of them will show up? c. what is the probability that neither dave nor mike will show up? (round your answer to 2 decimal places.)e will not show up. dave and mike do not know each other and their decisions can be assumed to be independent.