1. Introduction. This paper discusses a special form of positive dependence.
Positive dependence may refer to two random variables that have
a positive covariance, but other definitions of positive dependence have
been proposed as well; see [24] for an overview. Random variables X =
(X1, . . . , Xd) are said to be associated if cov{f(X), g(X)} ≥ 0 for any
two non-decreasing functions f and g for which E|f(X)|, E|g(X)|, and
E|f(X)g(X)| all exist [13]. This notion has important applications in probability
theory and statistical physics; see, for example, [28, 29].
However, association may be difficult to verify in a specific context. The
celebrated FKG theorem, formulated by Fortuin, Kasteleyn, and Ginibre in
[14], introduces an alternative notion and establishes that X are associated if
∗
SF was supported in part by an NSERC Discovery Research Grant, KS by grant
#FA9550-12-1-0392 from the U.S. Air Force Office of Scientific Research (AFOSR) and
the Defense Advanced Research Projects Agency (DARPA), CU by the Austrian Science
Fund (FWF) Y 903-N35, and PZ by the European Union Seventh Framework Programme
PIOF-GA-2011-300975.
MSC 2010 subject classifications: Primary 60E15, 62H99; secondary 15B48
Keywords and phrases: Association, concentration graph, conditional Gaussian distribution,
faithfulness, graphical models, log-linear interactions, Markov property, positive
The answer if i understand correctly is 17x7x24=2,856 square inch
or thats what the calculator told me
Answer:
17 units
Step-by-step explanation:
You can find the lenght of drawing a triangle and counting the x units and y units, thereby the AB would be the hypotenuse.
X units ( base ) = 15 units
Y units ( height ) = 8 units
AB = root of 8^2 + 15^2
AB = root of 289
AB = 17 units
Hope it helps :)
Mark it as brainliest answer pls :)
Steps to solve:
47.5 + 4.5x ≤ 65
~Subtract 47.5 to both sides
4.5x ≤ 17.5
~Divide 4.5 to both sides
x ≤ 3.8888888889...
So, yes, the friends will have to share snacks.
Best of Luck!
