Answer:
The probablility that there are 8 occurrences in ten minutes is 0.00518 or 0.5%.
Step-by-step explanation:
The distribution that represents the ocurrence of this events is the Poisson distribution.
The probability of having k events in a ten-minute-period can be expressed as:

being λ the mean number of occurrences in ten minutes.
The probablility that there are 8 occurrences in ten minutes can be calculated as:

The probablility that there are 8 occurrences in ten minutes is 0.00518 or 0.5%.
Answer:
I think its 55.
Step-by-step explanation:
So, the mean of it at first is 185, so that means you can do 185 x 6 = 1100 since there is 6 different types.
But, since the Blue Spruce is added there will be 7, so you can do 165 x 7, which gives you 1155. From there I would do 1155-1100 = 55
Answer:
Lamda= 4 students/min, µ= 5 students/min
P= Lamda/µ= 4/5= 0.8
a.) Probability that system is empty= P0= 1-P= 1-0.8= 0.2
b.) Probability of more than 2 students in the system= ∑(n=3 to inf) P^n*P0= (1-P)*(1/(1-P) – (1-P) –(1-P)*P –(1-P)*P^2)= (.2)*(5- - .2 - (.8)*.2 – (.2)*.8^2))= 0.848
Probability of more than 3 students in the system= ∑(n=4 to inf) P^n*P0= (1-P)*(1/(1-P) – (1-P) –(1-P)*P –(1-P)*P^2 – (1-P)*P^3)= 0.768
c.) W(q)= Waiting time in Queue= lamda/µ(µ- lamda)= 4/5(1)= 0.8 minutes
d.) L(q)= lamda*W(q)= 4*.8= 3.2 students
e.) L(System)= lamda/(µ-lamda)= 4 students.
f.) If another server with same efficiency as the 1st one is added, then µ= 6 sec/student= 10 students/min.
P= 4/10= 0.4
Probability that system is empty= P0= 1-.4= 0.6
W(q)= 4/10(10-4)= 0.0667 minutes
L(q)= Lamda*W(q)= 4*.0667=0.2668
L(system)= Lamda/(µ-lamda)= 4/6= .667
Step-by-step explanation:
In the given figure,
line a & b are parallel, line l and m are parallel.
for line a and b are parallel and line l act as a transversal.
So, angle BAC and ACD are the alterantive interior angles.
Angle BAC = Angle ACD
2x = 46
i.e. Angle BAC = 46
Lines l and m are parallel, a line act as a transversal,
So, the angle BAC and angle y are the corresponding angle,
Since the pair of corresponding angles are always equal so,
Angle BAC = y
46 = y
y = 46
Answer : y = 46
HEre is pdf
with lots of awnsers https://www.pbvusd.k12.ca.us/site/handlers/filedownload.ashx?moduleinstanceid=10900&dataid=12282&FileName=1718AnswersIndexSolutions.pdf
hopefully this helps
coments: y did u write warm up and u copied and pasted