Estimation (or estimating) is the process of finding an estimate, or approximation, which is a value that is usable for some purpose even if input data may be incomplete, uncertain, or unstable. The value is nonetheless usable because it is derived from the best information available. Typically, estimation involves "using the value of a statistic derived from a sample to estimate the value of a corresponding population parameter". The sample provides information that can be projected, through various formal or informal processes, to determine a range most likely to describe the missing information. An estimate that turns out to be incorrect will be an overestimate if the estimate exceeded the actual result, and an underestimate if the estimate fell short of the actual result.
Homework Statement
You measure the mass of a physics textbook to be 2.97±0.07 kg, and use this value to estimate the total mass of 800 identical physics textbooks in the bookstore. What is the absolute uncertainty in your estimate of the total mass?
I have been working on this for a...
Homework Statement
Wavegen's Saider 4MW wave energy project will produce an average 8,000 MWh each year. Estimate the mean loading on the turbines?
Homework Equations
The Attempt at a Solution
If 100% efficient = 4x365x24
= 35,040 MWh/year
Load factor...
Hello everybody!
I have been reading about the evolution of population growth since 1950 till now. It had many factors such as development of technology, of medecine, ...
Now i want to calculate the future population growth let's say for example for 2050. In those readings i found also those...
Hello everybody!
I have been reading about the evolution of population growth since 1950 till now. It had many factors such as development of technology, of medecine, ...
Now i want to calculate the future population growth let's say for example for 2050. In those readings i found also those...
Homework Statement
Hi, I am trying to solve this problem:
I want the Big-O Estimate for this problem
(n*logn + 1)^2 + (logn +1)(n^2+1)Homework Equations
now only real problem comes when I try to do the square of the first term.
I just don't know what (n*logn)^2 would be equal, it may be a it...
Following different lines of reasoning (most likely all faulty) - I can convince myself that the current estimate(s) of the Hubble age may be off by a factor or 2 (more or less) depending upon the physiology asssumed for space and the model used to describe the expansion rate - specifically:
If...
1. The problem \statement, all variables and given/known data
Estimate the error involved in using the first n terms for the function F(x) = \int_0^x e^{-t^2} dt Homework Equations
The Attempt at a Solution
I am using the Lagrange form of the remainder. I need to know the n+1 derivative of...
Around 1998 we got the estimate of 71 from Wendy Freedman's Hubble Space Telescope team. That was called the "key project" of the HST program and was one of the main reasons for HST. So much depends on it that it is important to keep trying to improve the accuracy.
That 71 has stood for 10...
The problem is: Compare the performance of the forward, backward, and central difference methods for estimating the derivative of the following function: y(x)=e^-xsin(3x). Use 101 points from x = 0 to x = 4. Use a random additive error of +/- 0.01.
I understand the process of solving this...
[b]1. Use Taylor's expansion about zero to find approximations as follows. You need
not compute explicitly the finite sums.
(a) sin(1) to within 10^-12; (b) e to within 10^-18:
[b]3. I know that the taylor expansion for e is e=\sum_{n=1}^{\infty}\frac{1}x^{n}/n! and I aslo know that...
Estimate the buoyant force exerted on your body by the air ( use Pair+1.029 kg/m^3). What would be the difference between your weight in the air and your weight in a vacuum?
How would I proceed with this? What Equation should I use?
Homework Statement
Estimate the density of the water 5.7 km deep in the sea. (bulk modulus for water is B=2.0 x 10^9 N/m^2) By what fraction does it differ from the density at the surface?
Homework Equations
P=(rho)gh=F/A=B(delta l/l)
The Attempt at a Solution
So I have several...
How to Estimate with a Computer program a 3rd order differential equation with 4 variables and 4 equations? The equations are derived from the geodesics equation and the Schwarzschild metric. The variables are r, theta, phi and t. Any hints would be appreciated.
Homework Statement
Estimate the radiation pressure due to a 100-W bulb at a distance of 5.0 cm from the center of the bulb. Assume that light is complitely absorbed.
Estimate the force exerted on your fingertip if you place it at this point. Assume area of the fingertip to be 1.5 cm2...
Homework Statement
Estimate the mass of a nucleus with a radius of 2.80 * 10^-15m.
Homework Equations
I do not know if there is an 'equation' for this.
The Attempt at a Solution
The answer is 2.11*10^-26.. but I don't even know how to approach this question.
Homework Statement
A point charge Q is placed a distance 2R above the center of an imaginary spherical
surface of radius R. Estimate the electric flux through the sphere
Homework Equations
The Attempt at a Solution
I think the answer is 0 as Gauss law states that the net...
Homework Statement
How does the speed of light's finiteness limit the size of our observable universe? Using the speed of light (c = 3 x 10^8 m/s), estimate the age of the observable Universe in years given its estimated size of about 10^26 m.
Homework Equations
The Attempt at a...
Homework Statement
A candidate wishes to estimate the proportion, among likely voters who would vote for her on election day, with 80% margin of error less than 0.03. What sample size should she use?
Answer: 456
Homework Equations
+/- Z[phat*qhat/sqrt(n)], Z = 1.28, phat = 0.5, qhat = 0.5...
Homework Statement
Use Newton's method to estimate the requested solution of the equation. Start with given value of x0 and give x2 as the estimated solution.
Homework Equations x0 = 2 ( this is the first guess numb. you start with)
the equation you use is... x = x(guuess #) -...
I'm having a problem with estimating a function using a power series... the problem is
Use the power series for f(x)= (5+x)^(1/3) to estimate 5.08^(1/3) correct to four decimal places.
I found all the derivatives of f(x) but I'm not sure how to make it into a power series or what form to...
Homework Statement
I am to estimate the critical temperature and critical pressure (where vapor and liquid merge) of a fluid. I am given that rho (the density), L (latent heat of vaporization), t_b (boiling temperature at 1atm) and P = 1atm (pressure) to be known.Homework Equations
dG = -S dt...
HELP! (again)
Homework Statement
The sun sets, fully disappearing over the horizon as you lie on the beach, your eyes 20cm above the sand. you immediately jump up, your eyes now 150cm above the sand, and you can again see the top of the sun. if you count the number of seconds until the sun...
Homework Statement
A clean surface of potassium in a vacuum is irradiated with light of wavelength 5.5 x10 -7 m and electrons are found just to emerge, but when light of wavelength 5.0 x 10 -7 m is incident, electrons emerge with energy 3.62 x 10-20 J. Estimate a value for Planck's constant...
The problem is this:
Estimate the binding energy of the H2 molecule, assuming the two H nuclei are 0.074 nm apart and the two electrons spend 33% of their time midway between them.
I assume that this problem uses the equation F=ke2/d.
So far, I have that E1=F1d, and E2=F2v*t*0.33. Then...
Hi, I need to resit some exams and I'v been having difficulty trying to solve this problem.
Estimate the velocity and angular velocity of an empty pipe of mass (m)=1000kg, Diameter (d)=10mm, shell thickness (h)=1mm at the bottom of a slope of angle \theta=45^{}o and path length L=5000mm on...
Hello Folks, How would I estimate the energy required for machine parts, such as turning a valve? we're talking joules? aye? could i estimate it fairly accurate? any help as to what equations and tools i would use?
im basically wanting to measure the efficiency of a machine... the energy put...
A block is at rest. The block is macroscopic so we can see that it is at rest and where it is, i.e. we know its position with certainty. Suppose we use the Heisenberg Uncertainty Principle to estimate the position uncertainty Δ x. Consider the following argument:
Since the engine is at rest...
explain why an estimate of intergal(f(x)) from 0 to .5 using the first 2 nonzero terms of its taylor approximation differs from the actual value of this integral by less than 1/200
Hi :smile: I really need a answer to this task. Hope anyone can help.
A curling stone ( named A ) gets on the ice with a unknown beginning velocity Vo
the stone moves along a straight line ( x-axis ) on the x-axis further ahead lies another
stone ( named B ) still. Stone A collides with...
Guys, I have a solar panel screwed onto a shaft which connects directly to a servo motor shaft. How much should the torque rating of the servo be to be able to rotate it ? I mean an estimate of the minimum torque required. The panel weighs 0.8kg plus a few grams for the solar panel holder (made...
in need of help for how to do this question
given probability mass function:
x 1 2 3 4
p(x) 1/4(θ+2) 1/4(θ) 1/4(1-θ) 1/4(1-θ)
Marbles
1=green
2=blue
3=red
4=white
For 3839 randomly picked marbles
green=1997
blue=32
red=906...
A human hair is about 100 μm across. Estimate the number of hairs in a typical braid.
The average number of hairs on a person’s head = 100,000, and the answer is supposed to be 10,000. Can someone explain how you would get 10,000? Thanks in advance
Hi all,
I am just a mechanical engineer with no good background of nuclear physics. As I am doing some research on how much each country can posses nuclear bomb. The question is if I know the reactor location (approximate) , type of reactor and its Rated power (MWe) with assumed plant...
Suppose we had the technology to produce artificial diamond beams and carbon nanotube rope cheaply enough to use in large quantities. If we use the diamond for compressive load, and the CNT ropes for tensile load, how tall a skyscraper could we build using these materials, in theory? Is there...
Homework Statement
Find the smallest integer n that ensures that the partial sum s_n approximates the sum s of the series with error less than 0.001 in absoulute value.
\sum_{n=1}^\infty (-1)^{(n+1)}\frac{n}{2^n}
Homework Equations
{\abs{s-s_n}} <= s_{(n+1)} = a_{(n+1)}...
I read this question online.
Estimate the length of your ear canal. Regard the canal as a narrow tube that is open at one end and closed at the other, at approximately what fundamental frequency would you expect you hearing to be most sensitive? Explain why you can hear especially soft sounds...
First, I want to understand something. Everything I look at suggests that the ionization energy of an atom or ion is suppose to be the energy needed to remove the 'outermost electron'- which I find troubling conceptually, since they also refer to this as the one with the highest energy. Wouldn't...
Homework Statement
A ski tow is operated on a 20 degree slope of lenth 300m. The rope moves at 12.0km/h, and power is provided for 70 riders at one time with an average mass per rider of 65kg. Estimate the power required to operate the tow.
Homework Equations
P = Work / t
P = F * v...
Homework Statement
A thunderstorm drops half an inch of rain (approximately .01m) of rain which covers an area of about 70 miles (approximately 10^8 m^2).Estimate the number of raindrops that fell during the storm.
Homework Equations
Area of a sphere,the raindrop= (4/3)(pi)(r^3)
The...
General interiors of my house need a complete renovation regarding mirrored closet door & window casing, suspended acoustic ceilings, walls (i.e. insulation, vapour, barrier, drywall, tape) and retro fitment of central vacuum. Please suggest any website that caters online help in calculation of...
I've been trying to figure out this paper by W. Smilga: Spin foams, causal links, and geometry-induced interactions
I don't have the knowledge and background to be able to determine whether his derivation of an estimate to the fine structure constant is interesting, or just a trick.
I am...
Hey guys I was just taking a look at a sample exam and I came across this, with no recollection of ever learning it.
I don't really want anyone to solve a problem for me per se, I just want an explanation for what is being asked.
So anyway, I am asked to find the linear estimate for a...
Let A be a matrix with real elements. The problem is to estimate eigenvalues of A, real and complex. QR algorithm is fine for real eigenvalues, but obviously fails to converge on complex eigenvalues... So, I'm looking for an alternative that could provide an estimate for complex eigenvalues of...
I need a method for estimating the liquid flow rate required by a gas scrubber (I know the amount of gas that needs to be scrubbed and the amount of particulates with it, but I don't know about the nature of the particles, except that they are organic).
It doesn't need to be particularly...
Homework Statement
How many terms of the series
infinity
E n =1
1/(1+n^2) must be added to estimate the sum within 0.01?
Homework Equations
The Attempt at a Solution
need help please. Also, the answer i believe it 100 terms. However i need to show work to support this answer.
Hi I just had a question on a quiz that asked to estimate the hypotenuse of triangle with given sides and a maximum error possibility. The two given sides were 5 and 12..i don't need an exact solution..but I was just wondering how to do it.
I Found the maximum Error that was possible and the...
What is the most accurate way to estimate the surface area of a cylindrical bottle that decreases in diameter from its wides point (the body) to the narrowest point ( the neck and cap)?
It seems like we did similar problems in calculus, however: 1. I don't remember any of it, and 2. I think...
Question: When you walk with a cup of coffee (diameter 8cm) at just the right pace of about 1 step per second, the coffee sloshes more and more until eventually it starts to spill over the top. Estimate the speed of the waves of the coffee.
Relevant Formulae:
f= 1/T
v= f * wavelength...