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the circle is circumscribed by the pentagon as shown (not drawn to scale). If QZ=10, YX=9, XW=9, UW=17, and SU=10, find the perimeter of the pentagon.
Let X be a set of finite (positive) measure. Let C be the collection of all finite subsets of X and their complements in X. Is C an algebra of sets? Is C a σ-algebra? Explain.
Recall that an element a is called algebraic over a ring (or field) R if a is the root of some polynomial in R[x].
Joint and Marginal Probability Distributions, Person takes bus & subway to work. Bus runs every 20 min (X) & subway every 4 min (Y).
How many discouraged unemployed workers were there in the previous ye
If the random variable z is the standard normal score, which of the following probabilities could easily be determined without
Let N be a positive integer. Let d be an integer relatively prime to phi(N) (phi denotes the euler totient function). Prove that there exists a d' in Z (=integers) with dd'=1 mod phi(N).
what is the correct classification of 18x?
Law of sines.
Find the fundamental matrix for differential equation.
The base of an aquarium with volume V = 215 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
Explain, in your own words, the product rule of exponents. Why does it work? Give examples. Please use a problem from page 412 #'s 27 - 38 or page 413 #'s 51 - 56, 101 as your example for this question. Please try to avoid using a problem someone ..
The length of an object is 3 times with the following results. 6.145cm, 6.12cm, and 6.2 cm . If the acutal value of the length is 6.11 cm , find the percent error between the average meansurement and the acutal value. Show all work.
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