For this case we have that by definition, the equation of a line in the slope-intersection form is given by:
Where:
m: It is the slope
b: It is the cut point with the y axis
We have the following equation:
Thus, the cut point with the y axis is -8. Therefore, we discard options C and B.
It is observed that the slope is positive so the correct graph is option B.
Answer:
Option B
The Lagrangian is
with critical points where the partial derivatives vanish:
The second and third equations tell us , so that in the last equation we find
and from the fourth equation we get
So we have two critical points, and
, which give respective extreme values of
(maximum) and
(minimum).
Answer:
a) 38.4% probability that on a given day this item is requested more than 5 times.
b) 0.67% probability that on a given day this item is not requested at all.
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.
An inventory study determines that, on average, demands for a particular item at a warehouse are made 5 times per day.
This means that
What is the probability that on a given day this item is requested
(a) more than 5 times?
Either it is requested 5 times or less, or it is requested more than 5 times. The sum of the probabilities of these events is decimal 1. So
We want P(X > 5). So
In which
38.4% probability that on a given day this item is requested more than 5 times.
(b) not at all?
0.67% probability that on a given day this item is not requested at all.