Determining the diameters of the disks
Two circular disks spaced 0.50 mm apart form a parallel-plate capacitor. Transferring 1.20 * 10^9 electrons from one disk to the other causes the electric field strength to be 2.90 * 10^5 N/C. What are the diameters of the disks?
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Assume that the data in question 25 reflects a highly skewed interval variable. What statistics would you compute to summarize these conditions?
To Hydrocarbons A and B, each contain six carbon atoms and one C=C.Compound A can exist as both E and Z isomers but compound B cannot.However, both A and B on catalytic hydrogenation give only3-methylpentane.
Let X1 and X2 be independent random variables, each having a (continuous) uniform distribution over (0; 1). Let the random variable M be de ned as M = max(X1;X2)
Steam enters a nozzle at 400C and 800kpa with a velocity of 10m/s, and leaves at 300C and 200kPa while losing heat at a rate of 25kW, for an inlet area of 800cm^2.
Determine the conditional probability that the second light will be red given that the first light is red. (Show how you calculate this.) Are the events R1 and R2 independent? Justify your answer numerically.
Suppose that X has density fX(x) given below. fX(x) = x/2 if 0 < x < 2, 0 otherwise. Let Y = 1/(4X + 2) . (a) Compute the cdf and the density of Y . (Remember to be very explicit about all cases!) Plot them. (b) Compute the variance of Y and
Use graphical analysis to determine the resistivity ρ of the wire (Use a graph of voltage V versus length L). The wire has cylindrical shape and a diameter of 0.9 mm.
Gasoline has been delivered to a farmer for use in the farm'scombines. A cylindrical storage tank with a circumference of6.8 ft is used to store the gasoline untilit is used.
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Accuracy was achieved by drying the teeth several times and recording the lowest mass once a constant weight was reached.
Only two teeth were used for each pH level, so natural differences between the teeth may have affected the average results.
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