4 decimal placess If the probability that a fluorescent light has a useful life of at least 800 hours is 0.9, find the probabilities that among 20 such lights a. exactly 18 will have a useful life of at least 800hours b. at least 15 will have a useful life of at least 800hours; c. at least 2 will not have a useful life of at least 800hours.
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4 decimal placess
If the probability that a fluorescent light has a
useful life of at least 800 hours is 0.9, find the probabilities that among 20 such lights
a. exactly 18 will have a useful life of at least 800hours
b. at least 15 will have a useful life of at least 800hours;
c. at least 2 will not have a useful life of at least 800hours.
Step by step
Solved in 4 steps
- Consider a gas in a piston-cylinder device in which the temperature is held constant. As the volume of the device was changed, the pressure was mecas- ured. The volume and pressure values are reported in the following table: Volume, m Pressure, kPa, when I= 300 K 2494 1247 831 4 623 5 499 416 (a) Usc lincar interpolation to estimate the pressure when the volume is 3.8 m. (b) Usc cubic splinc interpolation to cstimate the pressure when the vol- ume is 3.8 m. (c) Usc lincar interpolation to cstimate the volume if the pressure is meas- ured to be 1000 kPa. (d) Usc cubic splinc interpolation to cstimate the volume if the pressure is mcasured to be 1000 kPa. 4.The electric flux density D at the point M (0,4,0) in the region about a uniform line charge of 1 nC/m lying along the z axis in free space is: Select one: a. None of the above b. 0.6366 nC/m c. 0.2387 nC/m d. 0.039 nC/m e. 0.1 nC/mTwo small charged objects attract each other with a force F when separated by a distance d.If the charge on each object is reduced to one-fourth of its original value and the distance between them is reduced to d/2,the force becomes?
- We are given that the incubation time is normally distributed with a mean of 35 days and standard deviation of 2 days. Therefore, ? = and ? = .We wish to determine how many of the 10,000 eggs can be expected to hatch in 31 to 39 days. Since 35 − 31 = 4, 31 days is located standard deviations to the left of the mean. Similarly, 39 days is located standard deviations to the right of the mean.An insulated, electrically-heated (100 kW) tank contains400 kg of water at 65°C when its power is lost. Water iswithdrawn at a steady rate of 0.4 kg/s and cold water (at12°C) enters the tank at the same rate. Assume the tankis well-mixed, and neglect heat gains or losses throughthe tank walls. For the water, c=cp=cv=4200 J/kg C(a) Create a script (m-file) in MATLAB to calculate howlong will it take for the tank’s temperature to fall to 25°C.(b) Display the entire program code used for your scriptcreated in MATLAB. Make sure that running the scriptprovides a numeric result and include your name as acomment.A simple pendulum of length L, has a maximum angular displacement e_max. At one point in its motion, its kinetic energy is K = 3 J and its potential energy is U = 4.2 J. When the pendulum's angular velocity is one-fourth its maximum value (0' = %3D O'_max/4), then its kinetic energy is:
- Show that F(x, y, z) = xy + xz + yz has the value 1 if and only if at least two of the variables x, y, and z havethe value 1.Three balls, with masses of (m;=1 kg, m2=2 kg, m3=3 kg), are fastened to a massless rod of length L=30 cm as shown. The moment of inertia (in kg. m?) about the left end of the rod is: L/2 L/2 Im3 m2 O a. 0.135 O b. 0.015 O c. 0.06 O d. 0.24Given two particles with Q = 4.30-µC charges as shown in the figure below and a particle with charge q = 1.39 x 10-18 C at the origin. (Note: Assume a reference level of potential V = 0 at r = co.) x = -0.800 m x = 0.800 m (a) What is the net force (in N) exerted by the two 4.30-µC charges on the charge q? (Enter the magnitude.) N (b) What is the electric field (in N/C) at the origin due to the two 4.30-pC particles? (Enter the magnitude.) V N/C (c) What is the electrical potential (in kV) at the origin due to the two 4.30-uC particles? 96.75 V kV (d) What If? What would be the change in electric potential energy (in J) of the system if the charge g were moved a distance d = 0.400 m closer to either of the 4.30-µC particles?
- Suppose we have an 80-lb lead-acid battery. 10% of the weight of the battery is active material on the plates, i.e., we have a total of 8 lb of active Pb and PbO, on the plates that can be used to make electric power. Use the Gibbs free energy method to estimate the total stored energy in the battery. Assume that the open circuit voltage for a lead-acid cell is 2.1 V. [The answer should be a little less than 1 kilowatt-hour of energy.]An aluminum wire having a cross-sectional area equal to 4.60 x 10-6 m? carries a current of 7.50 A. The density of aluminum is 2.70 g/cm³. Assume each aluminum atom supplies one conduction electron per atom. Find the drift speed of the electrons in the wire. 1.95E-4 The equation for the drift velocity includes the number of charge carriers per volume, which in this case is equal to the number of atoms per volume. How do you calculate that if you know the density and the atomic weight of aluminum? mm/sDuring a journey, a car accelerates from (10 m/s) to (20 m/s) in (5 sec). Calculate the acceleration of the car: 2.5 О 3.0 1.5 2.0 A bullet of mass 20g is found to pass two points 30m apart in a time interval of 4s. Calculate the kinetic energy of the bullet if it moves with constant speed. * 0.562J O 5J 2J O 2.5J