Answer:
3.566%
Step-by-step explanation:
The probability formula for a poisson distribution is:
λ is the average of events
e is the euler's number
k is the number of events you want to know the probability
For this :
λ = 8.9 (on average the number of tickets is 8.9 per day)
k = 4 (you need to find the probability that exactly 4 tickets are written per day)
Given:
Four equations in the options.
To find:
The equation which represents a proportional relationship.
Solution:
If y is proportional to x, then
where, k is the constant of proportionality.
In this case if x=0, then y=0. It means the graph of a proportional relationship passes through the origin.
From the given options, only option B, i.e., , is of the
, where,
.
So, the equation represents a proportional relationship.
Therefore, the correct option is B.
Answer:
B.
Step-by-step explanation:
Let's call x the number of pens and y the number of notebooks that Monique can buy.
If each pen costs $2 and each notebook costs $3, so she is going to spend 2*x on pens and she is going to spend 3*y on notebooks.
Additionally, she is going to spend a maximum of $36. so:
2x + 3y 36
It means that the line that separated the region is:
2x + 3y = 36
This is the same that a line that passes for the points (0,12) and (18,0) or the line of the region B