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The monthly expenditures on food by single adults living in one neighborhood of Los Angeles are normally distributed with a mean of $370 and a standard deviation of $80. determine the percentage of samples of size 4 that will have mean monthly expenditures on food within $72 of the population mean expenditure of $370.
Pages in a book are numbered in typical fashion, starting with 1. The folio for page 10 will contain the tenth and eleventh digits necessary to paginate the book. On what page will the 2009th digit occur?
Using the definition of a measurable function, show that any constant function is measurable. Definition of a measurable function: the function f is measurable on the interval [a,b] if for all c in R, the set {x in [a,b] : f(x) >c} is measurable.
a 5 year projection of population trends suggest that t years from now, the population of a certain community will be P(t)=-t3+9t2+48t+200.
Verify whether this function is 1-1 and whether it is onto - Prove that the function f : R - {2} → R - {5} defined by f(x) = 5x + 1/x-2 is a bijection.
Probability that both circuits are defective, A factory worker places 93 newly created circuits on a shelf to be checked for quality. Of these, 8 will not work correctly. Suppose that she is asked to randomly select two circuits
Using the graphs from part 3 compare the profits of each company and evaluate their claims. Which model seems more realistic, the linear or radical model, and why?
If the periphelion of mars is 128.5 million miles, what is the aphelion? Write an equation for the orbit of mars about the sun.
What is meant by the term completing the square and where does the name completing the square come from?
How many license plates using 6 digits can the state of Vermont issue if repetition of digits is permitted - how many ways can the horses finish the race - How many of the first 100 natural numbers are multiples of 2 or multiples of 5?
find the sum of the perimeters and the sum of the areas of all the squares, including the initial one.
A computer was originally priced at $750 and was marked down to $510. What was the percent of the discount?
Show that a k-connected graph with at least 2k vertices contains a matching of size k. Is this best possible?
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