The given points are the vertices of the quadrilateral

By Green's theorem, the line integral is


Answer:
The domain of P is given by,
{n | n ∈ N, 2 ≤ n ≤ 12}
Step-by-step explanation:
A perfect die is perfectly cubic in shape with one of the integers 1,2,3,4, 5 or 6 in each of it's 6 faces and the digits on any two faces are different.
Now, two dice are rolled and P(n) models the probability of the event that the sum on the faces of the two dice is n.
Hence, the domain of P is given by,
{n | n ∈ N, 2 ≤ n ≤ 12}
Answer:
The total cost of the lunch including the tip is $15.21.
Step-by-step explanation:
To find the total cost of the lunch including the tip, first, you need to calculate 17% of the price of the lunch as the statement indicates that that is the tip Joseph leaves the waiter:
$13*17%=$2.21
Now, you need to add that amount to the price of the lunch:
$13+$2.21=$15.21
According to this, the answer is that the total cost of the lunch including the tip is $15.21.
Answer:
The value is 
The probability has increased
Step-by-step explanation:
From the question we are told that
The percentage that are from outside the country is 
The percentage that logs on everyday is 
The percentage that logs on everyday that are from the inside the country is 
Generally using Bayes' Rule the probability that a person is from the country given that he logs on the website every day is mathematically represented as

Where
is the percentage that are from inside that country which is mathematically represented as



And
is percentage that logs on everyday that are from the outside the country which is evaluated as




Given that the percentage that are from inside that country is 
and that the probability that a person is from the country given that he logs on the website every day is 
We see that the additional information increased the probability
One way is to use brute force (find bigger equivalent ratios and add them)
11:5
to make them bigger, we multiply both by the same number
11:5
11+5=16 nope
11:5 times 5 to both=55:25
add
55+25=80
we can just add the numbers before multiplying and then multiply after
11+5=16
16 times what=18
divide both sides by 16
1.125=what
we need to multiply each by 1.125
11:5 times 1.125 to both =12.375 : 5.625
12.375+5.625=18
a=12.375
b=5.625
Hope this helps :)