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A surveyor measures an angle with two instruments; call them A and B. Both instruments produced unbiased measurements, but the standard deviation of measurements made with instrument A is twice that of B. Due to environmental effects (wind, thermal expansion, etc) simultaneous measurements made with the two instruments have a correlation of r=0.5.
Let X and Y be random variables representing simultaneous measurements of a bearing made with instruments A and B, respectively. You are going to use a linear combination of the two measurements as your estimator (call it S) of the true bearing (call it s):S=aX+bYWhere a and b are predetermined weights.
(a)What conditions must be placed on the weights a and b so that E[S]=s That is, so that S is an unbiased estimator of s?
(b)What values of a and b will minimize the variance of S? The answer to this question will take the from a equals a specific number and b equals a specific number.
Under these conditions flow is expected to be turbulent, but for a clean air, very smooth enterance (with guided vanes) to the tube and no tube vibration, it may be possible to maintain laminar flow.
For carbon tetrachloride, the boiling point constant is 5.03°C · kg/mol, and the boiling point of pure carbon tetrachloride is 76.50°C.
If the detention storage on the paved section is increasing at the rate of 60 m3/hr, what is the runoff rate into the inlet grate?
What additional data and information should he gather,and how should he go about gathering the data information ?
Can a contractor claim that liquidated damages should be limited Because of political unrest, only 20% of rooms are occupied. Liquidated damages are set to $30000 per day -> reasonable amount Contractor is late 15 days.
Given an 18-in. concrete conduit with a roughness coefficient of n = 0.013, s = 0.02, and a discharge capacit of 15 cfs, what diameter pipe is required to triple the capacity
0.1 moles of an ideal gas contained in a piston-cylinder assembly undergoes the heat pump cycle shown below. The cycle operates counter-clockwise. Evaluate the coefficient of performance.
The volume of water in a reservoir is often expressed using the unit of acre-foot. A volume of 1 acre-foot is the amount of water covering an area of 1 acre to a depth of 1 foot. Lake Mead is the largest man-made lake in the United States.
write computer code using Matlab that emoloyes the nelder and mead simplex method to solve the welded-beam design (benchmark problem
The potentiometric surface elevations at two observation wells 1000 m apart are 52.35 m and 56.90 m. If the horizontal hydraulic conductivity of the auquifer is 25 m/ day determine the specfic discharge, and average linear veolicity of the flow as..
A closed cylindrical tank filled with water has a hemispherical dome and is connected to an inverted piping system. The liquid in the top part of the piping system has a specific gravity of 0.68.
Prepare a capstone report for designing of steel building using AISC 14 edition manual.
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