These answers are all the same equation :/ they are all right, they all go right through the point :/
Answer:
0.2081 = 20.81% probability that at least one particle arrives in a particular one second period.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
Over a long period of time, an average of 14 particles per minute occurs. Assume the arrival of particles at the counter follows a Poisson distribution. Find the probability that at least one particle arrives in a particular one second period.
Each minute has 60 seconds, so 
Either no particle arrives, or at least one does. The sum of the probabilities of these events is decimal 1. So

We want
. So
In which


0.2081 = 20.81% probability that at least one particle arrives in a particular one second period.
Answer:






Where h,k represent the vertex and we got:

(5,6)
Step-by-step explanation:
We have this original function given :

And we want to find the vertex for this new function
and we have:

And solving the square we got:

And adding similar terms we got:

Now we can complete the square like this:


The general equation is given by:

Where h,k represent the vertex and we got:

(5,6)
Basically when reading the value of a digit we start from the right.
Digits from the right to the left are named as follows:
units......>no zeros/digits after them
tens......> 1 zero/digit after the digit
hundreds.......> 2 zeros/digits after the digit
thousands......> 3 zeros/digits after the digit
ten thousands.......> 4 zeros/digits after the digit
hundred thousands.........> 5 zeros/digits after the digit
million........> 6 zeros/digits after the digit
Applying this concept to the above mentioned number, we will find that the period containing "913" is called nine hundred and thirteen thousands.
The formula for a circle is (x-h)^2 + (y-k)^2 = r^2 where h is x-value and k is the y-value of the center.
If diameter is 24, the radius is 12
(x + 9)^2 + (y - 5)^2 = 144