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:
270
Step-by-step explanation:
The formula for finding the area of a triangle is <em>base · height ÷ 2, </em>or 
After plugging in the numbers given to the formula, we find that the area of the triangle is 27.
Then to account for the length, we multiply the area of the triangle by 10.
This gets us to 270.
Ok so 5 * $13.99 = $69.95
and 1/4 of $13.99 =$3.497
it would cost her rounding
$69.95+$3.5= 73.45
Hope this helped!
Hope this was what you’re looking for ^.^
(If correct, if you don’t mind can you please mark me as the brainliest, it’s okay if not)
Answer:
Initial population is 3450 in the year 2000 and it decreases 80 every year.
Step-by-step explanation:
We are given with y=-80x+3450 where y is city's population and x is the number of years after 2000.
That is x=0 means the year 2000.
Hence y-intercept will represent the initial population which is nothing but 3450.
Since our equation slope =-80 which is negative means y is decreasing as x increases.
For x raises by 1, y decreases by 80.
That means population decreases by 80 for every year.
