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 equation will determine how much money Bevo will have in his account after 9 years
Step-by-step explanation:
The formula for compound interest, including principal sum is
, where:
- A is the future value of the investment/loan, including interest
- P is the principal investment amount (the initial deposit or loan amount)
- r is the annual interest rate (decimal)
- n is the number of times that interest is compounded per unit t
- t is the time the money is invested or borrowed for
Bevo has $5000 to invest. Bank A offers a savings account that has an APR of 1.15% and compounds monthly
We need to find Which equation will determine how much money Bevo will have in his account after 9 years
Because there is no choices we will write the equation
∵ Bevo has $5000 to invest
∴ P = 5000
∵ Bank A offers a savings account that has an APR of 1.15%
and compounds monthly
∴ r = 1.15% = 1.15 ÷ 100 = 0.0115
∴ n = 12 ⇒ compounds monthly
∵ t = 9
- Substitute all of theses values in the formula below
∵
∴
∴
The equation will determine how much money Bevo will have in his account after 9 years
Learn more:
You can learn more about the interest compound monthly in brainly.com/question/4361464
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Answer:
0.06, but this is rounded
Step-by-step explanation:
2.15/38=0.06 (rounded)
Hope this helps and have a great day (づ ̄ v ̄)づ
Answer:
48 people could play laser tag.
Step-by-step explanation:
This problem represents a linear equation since there is a constant rate of change, in this case a rate of $10 per person. There is also an initial rate of $15 that must also be paid. Since you have a $500 gift card, you can set an equation to find the number of people that would be able to play laser tag based on the costs and your total spending money:
500 = 10x + 15, where 500 is your available money on the gift card, 10 is your charge per person, 'x' is the number of people and 15 is your insurance down payment. Now, solve for 'x':
Use inverse operations: 500 - 15 = 10x + 15 - 15
Combine line terms: 485 = 10x
Use inverse operations: 485/10 = 10x/10
Solve: x = 48.5
Since you can't pay for half of a person, the most people that you could pay for is 48.
Answer:
Step-by-step explanation: