Question

In: Math

Two airplanes are flying in the same direction in adjacent parallel corridors. At time t = 0, the...

Two airplanes are flying in the same direction in adjacent parallel corridors. At time t = 0, the first airplane is 10 km ahead of the second one. Suppose the speed of the first plane (km/hr) is normally distributed with mean 535 and standard deviation 9 and the second plane's speed is also normally distributed with mean and standard deviation 510 and 9, respectively.

Two airplanes are flying in the same direction in adjacent parallel corridors. At time t-0, the first airplane is 10 km ahead

 (a) What is the probability that after 2 hr of flying, the second plane has not caught up to the first plane? (Round your answer to four decimal places.) 

 (b) Determine the probability that the planes are separated by at most 10 km after 2 hr. (Round your answer to four decimal places.)


Solutions

Expert Solution

milcah answered 2 years ago
Next > < Previous

Related Solutions

Two airplanes are flying in the same direction in adjacent parallel corridors. At time t =...
Two airplanes are flying in the same direction in adjacent parallel corridors. At time t = 0, the first airplane is 10 km ahead of the second one. Suppose the speed of the first plane (km/hr) is normally distributed with mean 550 and standard deviation 9 and the second plane's speed is also normally distributed with mean and standard deviation 535 and 9, respectively.   a) What is the probability that after 2 hr of flying, the second plane has...
Two airplanes are flying in the same direction in adjacent parallel corridors. At time t =...
Two airplanes are flying in the same direction in adjacent parallel corridors. At time t = 0, the first airplane is 10 km ahead of the second one. Suppose the speed of the first plane (km/hr) is normally distributed with mean 530 and standard deviation 8 and the second plane's speed is also normally distributed with mean and standard deviation 510 and 8, respectively. (a)What is the probability that after 2 hr of flying, the second plane has not caught...
Two airplanes are flying in the same direction in adjacent parallel corridors. At time t 5...
Two airplanes are flying in the same direction in adjacent parallel corridors. At time t 5 0, the first airplane is 10 km ahead of the second one. Suppose the speed of the first plane (km/hr) is normally distributed with mean 520 and standard deviation 10 and the second plane’s speed is also normally distributed with mean and standard deviation 500 and 10, respectively. What is the probability that after 2 hr of flying, the second plane has not caught...
Two airplanes are flying in the air at the same height. Airplane A is flying east...
Two airplanes are flying in the air at the same height. Airplane A is flying east at 250 mph and airplane B is flying north at 400 mph. If they are both heading to the same airport, located 30 miles east of airplane A and 40 miles north of airplane B, at what rate (in mph) is the distance between the airplanes changing?
A bat flying at 4.80 m/s is chasing an insect flying in the same direction. The...
A bat flying at 4.80 m/s is chasing an insect flying in the same direction. The bat emits a 40.0-kHz chirp and receives back an echo at 40.4 kHz. (Take the speed of sound in air to be 340 m/s.) What is speed of insect (m/s)
Suppose two parallel lines of current are 0.85A and 0.35A in the same direction, with the...
Suppose two parallel lines of current are 0.85A and 0.35A in the same direction, with the centers of their wires 21cm apart. A -2.04nC particle is fired at 3500m/s in the same direction as both lines of current exactly in between the lines of current. a. Find the force that acts on the particle and in which direction. If a coordinate system will help, you may assume the currents and particle are in the +x direction and the currents lie...
Two long parallel wires each carry 2.8 A in the same direction, with their centers 1.5...
Two long parallel wires each carry 2.8 A in the same direction, with their centers 1.5 cm apart. Part B:Find the magnitude of the magnetic field at a point in the same plane as the wires, 1.5 cm from one wire and 3.0 cm from the other. Part C: Find the magnitude of the force of interaction (per length) between the wires
A spin has 1/2 spin in Z direction at time t = 0. A constant magnetic...
A spin has 1/2 spin in Z direction at time t = 0. A constant magnetic field By is applied in y-direction. At time t you measure one of the spin components. Which value (and with which probabilities) can you get if you measure a) Sx b) Sy c) Sz
Two long, parallel conductors, separated by 11.0 cm, carry currents in the same direction. The first wire carries...
Two long, parallel conductors, separated by 11.0 cm, carry currents in the same direction. The first wire carries a current I1 = 3.00 A, and the second carries I2 = 8.00 A. (See figure below. Assume the conductors lie in the plane of the page.) (a) What is the magnetic field created by I1 at the location of I2? magnitude  T direction  ---Select--- in the +x direction in the -x direction in the +y direction in the -y direction in the +z direction in the -z direction (b) What is the force per unit length exerted by I1 on I2?...
Two long thin parallel wires 13.0 cm apart carry 25-A currents in the same direction. Part...
Two long thin parallel wires 13.0 cm apart carry 25-A currents in the same direction. Part A Determine the magnitude of the magnetic field vector at a point 10.0 cm from one wire and 6.0 cm from the other (Figure 1) . Express your answer using two significant figures. B=? Part B Determine the direction of the magnetic field vector at that point. Express your answer using two significant figures.
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT