Answer:
L = P/2 - W
Explanation:
Step 1 - Start by factoring out the two
P = 2L + 2W
P = 2(L + W)
Step 2 - Divide both sides of the equation by two
P = 2(L + W)
P/ 2 = 2(L + W)/ 2
P/ 2 = L + W
Step 3 - Subtract W from both sides of the equation
P/ 2 = L + W
P/ 2 - W = L + W - W
P/ 2 - W = L
P- (-1,7) Q-(2,7) R-(7,-3) S-(-4,-4)
Answer:
1056
Step-by-step explanation:
Find the area of each square and add them to find the area of the rectangle
The area of a square = side * side
The areas are:
1*1= 1
4*4 = 16
7*7 = 49
8*8 = 64
9*9 = 81
10*10 = 100
14*14 = 196
15*15 = 225
18*18 = 324
The sum of the areas =
324+225+196+100+81+64+49+16+1
= 1056 units ^2
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
