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24. Pick 5 numbers and compute the population standard deviationof the numbers
a. Add a nonzero constant c to each of your original numbers, and compute the standard deviation of this new population.
b. Use the results of part a and inductive reasoning to state what happens to the standard deviation of a population when a nonzero constant c is added to each data item.
25. Pick 6 numbers and compute the population standard deviation of the numbers
a. Double each of your original numbers and compute the standard deviation of this new population
b. Use the results of part a and inductive reasoning to state what happens to the standard deviation of a population when each data item is multiplied by a positive constant k.
Determine the surface area of the curb. Do not include the area of the ends in the calculation. 30 4 m 150 mm 150 mm 100 mm 150 mm
A lorry with mass 3500 kg is parked at the top of a steep hill with a 1– in– 8 gradient when its handbrake fails. Assume that the lorry has a constant frictional resistance to motion of 500 N. The lorry rolls 40 m down the hill before crashing into a lamp post. Use the principle of conservation of energy to calculate the velocity of the lorry immediately prior to its impact with the lamp post.
A lift cage with mass 500 kg accelerates vertically upwards from rest to a velocity of 6 m s −1 in a distance of 12 m. The frictional resistance to motion is assumed to be constant throughout at 200 N. a) Calculate the work done raising the lift. b) Calculate the tension in the lifting cable. c) Calculate the power developed by the winch. A lorry with mass 3500 kg is parked at the top of a steep hill with a 1– in– 8 gradient when its handbrake fails. Assume that the lorry has a constant frictional resistance to motion of 500 N. The lorry rolls 40 m down the hill before crashing into a lamp post. Use the principle of conservation of energy to calculate the velocity of the lorry immediately prior to its impact with the lamp post.
A satellite launch vehicle travelling at 1000 m s −1 uses a controlled explosion to release its payload into orbit. The empty launch vehicle has a mass of 7500 kg and the satellite released has mass 250 kg. Both continue travelling in the same direction, with the launch vehicle now moving at 900 m s −1 . a) Calculate the initial momentum of the launch vehicle immediately before the satellite was released. b) Calculate the final velocity of the satellite after release.
Sketch the graph of the parametric equations
X(t)=t^2+1, y(t)=2+t at range of -5<_t<_5
A mountain climber plans to buy some rope to use as lifeline. Which of the following would be the better choice? Explain your choice.
Rope A: Mean breaking strength:500lb; standard deviation of 100lb
Rope B: Mean breaking strength: 500lb; standard deviation of 10lb
During a particular the specific heat of the working fluid comprising system is given by the relation: (C=0.2 + 0.002 T) kj/kg K. where T is the absolute temperature in degree Kelvin. What amount of the heat is required to be supplied to the fluid system to raise it's temperature from 300 K to 400K? Also determine the me mean value of specific heat.
A 3-point bending test is performed on a simply supported beam of length L=4m and of rectangular cross-section, with width b and height h.
For a central load of 10kN, draw the bending moment and shear force diagrams for the beam. Then answer the following questions about the shear force V and bending moment M.
What is the shear force in the beam at x=0.5,1.5,2.5 and 3.5m?
The pressure on 142 l/min of air is boosted reversibly from 2,068.44 kPaa to 6,205.32 kPaa while the temperature remains constant at 24° C ∆U= 0. a) find the integral of pdV and - integral of Vdp. (b) for a nonflow process, find W,Q,∆H, and ∆S. (c) for steady flow process during which ∆K= 5 kJ/min and ∆P=0, find the integral of pdV, - integral of Vdp, W, ∆E, ∆H, Q, and ∆S
