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: 60 yd
Step-by-step explanation:
Here: subdivided into 3 smaller pens (2w + w + w) extra widths for separation purposes (3 smaller pens)
180 yards of fencing material
180yd = 2L + 4w
180dy = 2*60 + 4w
60dy = 4w
w = 15yd, how wide can the rectangle can be with L = 60yd
Answer:
a)
degrees
b) 
Step-by-step explanation:
An approximate formula for the heat index that is valid for (T ,H) near (90, 40) is:

a) Calculate I at (T ,H) = (95, 50).
degrees
(b) Which partial derivative tells us the increase in I per degree increase in T when (T ,H) = (95, 50)? Calculate this partial derivative.
This is the partial derivative of I in function of T, that is
. So



Answer:
4747
Step-by-step explanation:
the answer is 0.74 not 0.074
Step-by-step explanation:
<h3>7.4 <u><em>÷ </em></u><em> 10 = 0.74</em></h3>