By using a graphing calculator, the solutions are:
(-3, 4) and (1, 0)
Answer:
0.087
Step-by-step explanation:
Given that there were 17 customers at 11:07, probability of having 20 customers in the restaurant at 11:12 am could be computed as:
= Probability of having 3 customers in that 5 minute period. For every minute period, the number of customers coming can be modeled as:
X₅ ~ Poisson (20 (5/60))
X₅ ~ Poisson (1.6667)
Formula for computing probabilities for Poisson is as follows:
P (X=ₓ) = ((<em>e</em>^(-λ)) λˣ)/ₓ!
P(X₅= 3) = ((<em>e</em>^(-λ)) λˣ)/ₓ! = (e^-1.6667)((1.6667²)/3!)
P(X₅= 3) = (2.718^(-1.6667))((2.78)/6)
P(X₅= 3) = (2.718^(-1.6667))0.46
P(X₅= 3) = 0.1889×0.46
P(X₅= 3) = 0.086894
P(X₅= 3) = 0.087
Therefore, the probability of having 20 customers in the restaurant at 11:12 am given that there were 17 customers at 11:07 am is 0.087.
To solve part a, do the following.
49.84-44.50=<span>5.34
5.34/44.50=x/100
after solving the proportion, x would be equal to 12.
To solve part b, do the following.
50+12=62
</span>To solve part c, do the following.
The amount of the tip is:
x/<span>57.50=62/100
which is </span><span>35.65
The total bill is:
35.65+</span>57.50=<span>93.15</span>
Answer: 
Step-by-step explanation:
