Question: all ships travel at the same speed through a wide canal. each ship takes t days to traverse the all ships travel at the same speed through a wide canal. each ship takes t days to traverse the length of the canal. eastbound ships (i. e., ships traveling east) arrive as a poisson process with an arrival rate of λe ships per day. westbound ships (i. e., ships traveling west) arrive as an independent poisson process with an arrival rate of λw ships per day. a pointer at some location in the canal is always pointing in the direction of travel of the most recent ship to pass it. in each part below, your answers will be algebraic expressions in terms of λe,λw, x,t, v and/or k. enter "le" for λe and "lw" for λw, and use "exp()" for exponentials. do not use "fac()" or "! " for factorials; instead, calculate out the numerical value of any factorials. follow standard notation. starting at an arbitrary time, we monitor the cross-section of the canal at some fixed location along its length. let v be the amount of time that will have elapsed (since we began monitoring) by the time we observe our seventh eastbound ship. find the pdf of v. for v≥0,what is the probability that the next ship to arrive causes a change in the direction of the pointer? f we begin monitoring a fixed cross-section of the canal at an arbitrary time, determine the probability mass function pk(k) for k, the total number of ships we observe up to and including the seventh eastbound ship we see. the answer will be of the form pk(k)=(a6)⋅b, for suitable algebraic expressions in place of a and b.

the answer is b i just did that

step-by-step explanation:

answer:

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

explanation:

service only with 20% tip  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the  

service

−−−−−−  

so technically the answer is  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

however, the intention of the question provider may have been that your answer is to be  

$

87.12

(

1

+

8

100

)

=

$

94.09

to 2 decimal places.

'

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge  

.

→

$

72.60

20% tip  

20

100

×

$

72.60

=

$

14.52

−−−−−−  

←

add

$

87.12

tax  

8

100

×

$

87.12

=

$

6.97

−−−−−  

←

add

$

94.09

related questions

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.