Answer:
x= 3.5 (nearest tenth)
Step-by-step explanation:
Please see the attached picture for the full solution.
Answer:
a 
b 
c 0 customers
Step-by-step explanation:
Given

per customer
Solving (a): Amount (A) on n customers
This is calculated as:



Solving (b): Amount on 134 customers
In this case: n = 134
So:



Solving (c): Customers at noon.
At noon, the amount is 30.
So:


Collect like terms



Sin 3pi/4 is angle 135 degrees or 45 degrees below 180 degrees. Hence it's opposite side is 1 and adjacent is 1, implying the hypothenus is sqrt(2). Hence
Sin 3pi/4 = 1/sqrt(2). Now multiply by sqrt(2)/sqrt(2) to get:
[1/sqrt(2).] * [sqrt(2)/sqrt(2)] = sqrt2)/2
Answer:
B) 0.894
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.
A local animal rescue organization receives an average of 0.55 rescue calls per hour.
This means that 
Probability that during a randomly selected hour, the organization will receive fewer than two calls.

In which




In 48 days, they would have consumed 108 gallons, and have 22 left, so yeah. 48 days