Question
In: Math
A bus travels between two cities A and B that are 100 miles apart.Two service stations...
A bus travels between two cities A and B that are 100 miles apart.Two service stations are located at mile 30 and mile 70, as well as in the cities themselves. The bus breaks down on the road. Assuming the place of breakdown is uniformly distributed between the cities, what is the probability that it is no more than 10 miles to the nearest service station? What is the expectation of the distance to the nearest service station?
Solutions
milcah answered 9 months agoRelated Solutions
78. A commuter train travels between two downtown stations. Because the stations are only 1.00 km apart,...
78. A
commuter train travels between two downtown stations. Because the
stations are only 1.00 km apart, the train never reaches its
maximum possible cruising speed. During rush hour the engineer
minimizes the time interval ?t1 between two stations by
accelerating the rate a1 = 0.100 m/s2
for a time interval ?t1 and then immediately braking
with acceleration a2 = ?0.500 m/s2 for
a time interval ?t2. Find the minimum time interval
?tand the time interval ?t1.
A train travels between stations 1 and 2, as shown in the figure. The engineer of...
A train travels between stations 1 and 2, as shown in the
figure. The engineer of the train is instructed to start from rest
at station 1 and accelerate uniformly between points A and B, then
coast with a uniform velocity between points B and C, and finally
decelerate uniformly between points C and D until the train stops
at station 2. The distances AB, BC, and CD are all equal, and it
takes 5.63 min to travel between the...
Consider a car traveling on a highway. If the car travels 100 miles in 2 hours,...
Consider a car traveling on a highway. If the car travels 100
miles in 2 hours, which theorem guarantees that
the car must have been traveling at 50 mph at some point in those
two hours? (You may assume position and velocity are continuous and
differentiable)
Terry Lamoreaux has homes in Sydney, Australia and Phoenix, Arizona. He travels between the two cities...
Terry Lamoreaux has homes in Sydney, Australia and
Phoenix, Arizona. He travels between the two cities at least twice
a year. Because of his frequent trips he wants to buy some new,
high quality luggage. He's done his research and has decided to go
with a Briggs & Riley brand three-piece luggage set. There are
retails stores in both Phoenix and Sydney. Terry was finance major
and wants to use purchasing power parity to determine if he is
paying the...
Suppose the distances (in miles) that a pharmaceutical representative, Tracy Ross, travels between medical offices are...
Suppose the distances (in miles) that a pharmaceutical
representative, Tracy Ross, travels between medical offices are
shown in the accompanying table. Set up and solve a traveling
salesperson problem using Evolutionary Solver.
The shortest distance for a tour is _____ miles?
To
From
1
2
3
4
5
6
7
8
1
0
3
57
51
49
4
12
92
2
3
0
51
10
53
25
80
53
3
57
51
0
49
18
30
6
47
4
51 ...
A car wash has two stations, 1 and 2. The service time at station 1 is...
A car wash has two stations, 1 and 2. The service time at
station 1 is exponentially distributed with parameter λ1, and the
service time at station 2 is exponentially distributed with
parameter λ2.When a car arrives at the car wash, it begins service
at station 1, provided station 1 is free; otherwise, the car waits
until station 1 is available. Upon completing service at station 1,
the car then proceeds to station 2, provided station 2 is free;
otherwise,...
Let A and B be two stations attempting to transmit on an Ethernet. Each has a...
Let A and B be two stations attempting to transmit on an
Ethernet. Each has a steady queue of frames ready to send; A’s
frames will be numbered ?1, ?2 and so on, and B’s similarly. Let ?
= 51.2 ???? be the exponential backoff base unit. Suppose A and B
simultaneously attempt to send frame 1, collide, and happen to
choose backoff times of 0 × ? and 1 × ?, respectively. As a result,
Station A transmits ?1...
Let A and B be two stations attempting to transmit on an Ethernet. Each has a...
Let A and B be two stations attempting to transmit on an
Ethernet. Each has a steady queue of frames ready to send; A’s
frames will be numbered ?1, ?2 and so on, and B’s similarly. Let ?
= 51.2 ???? be the exponential backoff base unit. Suppose A and B
simultaneously attempt to send frame 1, collide, and happen to
choose backoff times of 0 × ? and 1 × ?, respectively. As a result,
Station A transmits ?1...
Let A and B be two stations attempting to transmit on an Ethernet. Each has a...
Let A and B be two stations attempting to transmit on an
Ethernet. Each has a steady queue of frames ready to send; A’s
frames will be numbered ?1, ?2 and so on, and B’s similarly. Let ?
= 51.2 ???? be the exponential backoff base unit. Suppose A and B
simultaneously attempt to send frame 1, collide, and happen to
choose backoff times of 0 × ? and 1 × ?, respectively. As a result,
Station A transmits ?1...
Two cars start driving from the same point. One travels north at 30 miles per hour,...
Two cars start driving from the same point. One travels north at
30 miles per hour, and the other travels east at 45 miles per hour.
At what rate is the distance between the cars increasing two hours
later?
(a) Draw a diagram, label quantities.
(b) Write rates as derivatives.
(c) Find an equation involving the quantities; differentiate on both
sides with respect to t.
(d) Plug in known information and solve for the unknown. [As usual,
numeric simplification not...
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