Average Definition and 1000 Threads

Hi, I have the following problem. Consider an age-structured population growing according to a Leslie matrix. Suppose the population is in stable exponential growth, i.e. its age-structure is constant in time, while the total population is exponentially growing (or decreasing) with exponent...

Hi, If we know the concentration of a salt (i.e NaCl) in a solute (i.e 0.1 M), is it possible to compute an average distance (in nm) of each Na vs/ Cl ions in this solute assumed mixed?

Thank you for helping! I got it :)

EDIT ADDED: I already got it! Thank you for your ideas! :D 1. Homework Statement If you drive an average velocity of -72.8 Km/h for 55 minutes to a position that is 28.5 KM north of Jollitown, in what position did you start your drive?I'm confused with this negative average velocity, please...

I am interested in going into engineering. I enjoy literally using the scientific method to solve my problems in my life, I also have a knack for creativity and enjoy doing things efficiently. My problem is that, I still do not have an appropriate level of understanding or conception of...

Homework Statement A block of mass 2 kg starts from rest and begins to move at time t=0 along a straight line on a smooth horizontal surface. The displacement of the block, s, depends on time, t, given by s=3+2t+t^3 . t is expressed in second and s in meter. Calculate the average force acting...

The average particle energy of a Fermi-Dirac gas, with zero chemical potential, is about 3.15T, where T is the temperture of this gas. To get the average energy, one needs to do an integration. The integrand is something like \frac{x^3}{e^{x/k_BT}+1}. I could get the result numerically. But...

Hello, Does anyone know why we use the root mean square of the relative velocity in calculating the mean free path? As is done in this example: http://galileo.phys.virginia.edu/classes/152.mf1i.spring02/MolecularCollisions.htm Seems like it would make more sense to find the mean of the...

Homework Statement What is the average value of a function 1/x between x=2/3 and x=8/3? Homework Equations 1/(b-a) ∫f(x) dx with a and b being the lower and upper limits, respectively The Attempt at a Solution 1/([8/3] - [2/3])∫1/x dx 1/(6/3) ∫1/x dx 1/2 ∫1/x dx 1/2 * (ln x)...

Homework Statement In the circuit of Figure 4-2, let N1=2000 turns, N2=1000 turns, R=0, Z1=0 and ZL=300+j400 (Ω). If V1(max)=1500 V, what is the average power delivered to ZL? A. 5400 W B. 2700 W C. 337.5 W D. 675 WHomework Equations V2=(N2/N1)V1The Attempt at a Solution since turn factor is...

Homework Statement In the circuit shown, a load having an impedance of 39 + j26Ω is fed from a voltage source through a line having an impedance of 1 + j4Ω. The rms value of the source voltage is 250V. a) Calculate the load current IL and voltage VL b) Calculate the average and reactive...

Please show that if f is a continuous concave downward function on [a,b],then the average of the function f is greater than f[(a+b)/2],thank you in advance.

Something that i have wondered for a long time is when an optical components power handling capability is discussed, is it the average power or peak power that is in question? Thanks.

Homework Statement Find expectation values ##\langle \hat{S}_x \rangle##, ##\langle \hat{S}_y \rangle##, ##\langle \hat{S}_z \rangle## in state ##|\psi \rangle =\frac{1}{\sqrt{2}}(|+\rangle +|- \rangle)## ##|+\rangle## and ##|-\rangle## are normalized eigen vectors of ##z## projection of...

can you use Fourier transform to find a moving average on a data set? so, you do a Fourier transform on your one dimensional data set. next remove high order harmonics from FT result. do reverse Fourier transform on new FT result. And, vola! smoothed out data set.

I'm looking for an analytical solution to a very simple problem I've come across. Start with a circle of radius a. Now place n points at random positions inside this circle. Can you calculate the expectation value for the mean distance between the points? For the sake of argument can you...

Homework Statement Calculate the average power (P) absorbed by the load shown below when its impedance is 56 +j15 ohms 21 A rms? Answer to three significant figures Homework Equations P=Irms^2*RThe Attempt at a Solution Converting 56 +j15 to polar form yields 57.9741 ohms @ 14.9951 degrees...

Consider a beam of positive Muons, of energy 0.3GeV in the laboratory. (i) What is the apparent mean lifetime of the Muon as measured in the laboratory frame? (ii) What is the mean distanced traveled by the Muon in the laboratory? I first tried using the E = pc and working out speed...

Homework Statement A person walks first at a constant speed 5m/s along a straight line from point A to point B, and then back along the line from B to A at a constant speed 3m/s. (a) What is her average speed over the entire trip? (b) Her average velocity over the entire trip? Homework...

Homework Statement A ball of mass m bounces between two parallel walls, such that its velocity v is perpendicular to the walls.The collisions with the walls are totally elastic. What is the average force exerted by the ball on the walls, if the distance between the walls is d? Homework...

Homework Statement A particle travels from point A to point B following a semicircular path (a half-circle) of radius 5 m, and it travels at a constant speed of 1 m/s. Find the average acceleration of the particle. Homework Equations Average acceleration = change in velocity/ change...

Hello all, I have the following continuous-time random process: v(t)=\sum_{k=0}^{K-1}\alpha_k(t)d_k+w(t) where d_k are i.i.d. random variables with zero mean and variance 1, alpha_k(t) is given, and w(t) is additive white Gaussian process of zero-mean and variance N_0. Can we say...

hi , I need to do the following Write a program that asks the user to enter a number. Then create an array of this size. Fill the array with random numbers between 0 and 10. Calculate the average value. I did the program but there is a problem in calculating the average . can some one tell me...

Hello, The formula for average kinetic energy of molecule is: k=3/2KT. Can anyone please explain the derivation without using calculus? Thanks, -- Shounak

Hi All, The other day an old high school buddy of mine emailed me asking if I could find out about the general cost of master and PhD programs in math across American schools. I grew up in one of those 'stan countries', but have been living in the US for 7 years now. He's still there and as far...

The velocity of an object at t=0 seconds is 40 m/s directed due North. The velocity of the same object at t=5 seconds is 30 m/s directed due east. Find the magnitude of the average acceleration of the object over the time interval from t=0 to t=5 seconds. Also, show the direction of the...

I solved the question , but i need to check it with you guys ... I believe there is something wrong with part b . Homework Statement The 15000kg train A is running at 1.5 m/s on the horizontal tack (to the right) when it encounters a 12000kg train B running at 0.75m/s toward it (to the...

Homework Statement The position of piston Cd is locked and force P = 350lb is applied as shown. The diameter of all pins and bolts is 3/8 in., member BCE has a thickness of 1/4 in., and member Ef has a width of 1 in. adn thickness 1/4 in. Homework Equations The Attempt at a...

Homework Statement A car travels at a speed v (km/h) for 40 minutes, then at a speed v/2 for 40 minutes, and finally at a speed v/3 for 20 minutes. What is the average speed for the trip Homework Equations avg v = displacement / time The Attempt at a Solution 40v + 20v + 20/3 v...

Hello, I've got a modulated signal - Y(f) (the question doesn't say if AM or DSB or whatever) which it's spectral modulted signal is shown(in the file I've uploaded).its is modulated by a carrier of sum of several COS. It asks what is the average energy or power( I should decide) of the...

Q. Use the addition formula cos(u+v) = cos(u)cos(v) - sin(u)sin(v) to derive the following identity for the average rate of change of the cosine function: (cos(x + h) - cos x) / h = cos x ((cos h - 1) / h) - sin x ((sin h) / h) A. cos(x+h) = cosxcosh - sinxsinh subtitute this to...

If a rugby player is running at 3.69 m/s and then decides to sprint in a straight line for a ball and 3.27 seconds later is running at 7.29 m/s, what is their average acceleration during that time? Units and direction of travel are not required Homework Equations The Attempt at a...

Homework Statement Homework Equations P = 1/2 Vm*Im*cos(θv - θi) The Attempt at a Solution First I added all the impedance values to find the total impedance seen by the source. Zt = j10 + (50 || 20 + j10) = 15 +j5 Ω Now since the circuit is not purely resistive, I can't...

How do you find average acceleration given a table with points of velocity (ft/sec)? t (sec): 0 15 30 45 60 v(t) (ft/sec):0 40 60 70 75 the question asks: Find the average acceleration of Rocket A over t=[0,60] seconds. I used change in v(t)/change in time to find 4...

Hello, I'm actually working on a project, which record the acceleration of a golf club via an accelerometer. And with the data of it i have manage to draw a graphic of a golf swing. My question is : how can i get the average speed of the recorded data. Indication, the time is in ms.

I'm going to start with an example: On her way to school, a child discovered that her loonie is missing and there is a hole in her pocket. She turned back and walked 24 m east along the sidewalk. Then, she stopped for 18 s and decided to head back to school. After walking 11 m west, she found...

In a bag there are 30 identical balls numbered from 1 to 30. Choose one after the other three balls (without Off Reset). What is the average value of the sum of the numbers of three balls chosen? I am not sure on how i am going to solve this so i think that we will have a variable X where X1...

I would classify myself as an average second year student with middling grades (essentially a 3.55 both in major and cumulative). It seems to me that if you want to be a physicist of any kind, you need such monumental passion and focus that an average student perhaps should not even bother. I'm...

Homework Statement A runner is rises up by 4.5 meters in 3.5 seconds, what average power must be consumed? Homework Equations P=w/t w=F.d The Attempt at a Solution p=4.5/3.5= 1.28 watt

Homework Statement Hi. A cylinder of radius r & length L whose charge density distribution is given by ρ = C/2 * r3 where r = radial distance in cylindrical coordinates C = constant show that the average charge density ρbar = a3 C / 5Homework Equations Gauss differential law div E = ρ / ε0 div...

What is the Average/mean binding energy per nucleon of the whole periodic table/of all the elements, considering the most naturally abundant isotopes of each element? I tried googling it a couple of times but i could not arrive at a satisfactory answer.

Hi! Suppose we are required to analyse the general tendency of a set of joined line segments (to increase or decrease) as shown in the figure, which would be a more accurate method? 1.) Take individual slopes of each line segment and compute the average of all such slopes. 2.)...

Hi, i regard a single harmonic oszillator: $$H_{1}=\frac{p^{2}}{2m} + \frac{m \omega^{2}}{2} x^{2}$$ I know the partition function of the oszillator is: $$Z=\frac{kT}{\hbar \omega}$$ so the probability function is: $$F_{1}(x,p)=\frac{1}{Z}\exp{\frac{-H_{1}(x,p)}{kT}}$$ Now I want to...

Hi, Im stuck: I found this example in which they calculate the rate of reaction: the title is "calculating the average reaction rate" Now how the hell is this average reaction rate if they didnt use stoichiometric coefficients!? (in this case it should be 2. Thanks in advance.

Homework Statement Water relative permitivity is about 81. If the electric field E=x[V/m] (x unit vector) is inside the water, what is the vector P(dipole polarization per unit volume)? Then Assume that the density of water is 1000 [kg/m3] and that there are 3.34 × 1025 molecules per...

Hii Everyone, A a box contains $N$ balls. In each step, we remove some number of balls from the box according to some distribution, where the distributions are independent but not identical. We don't know any other details of the distributions but their averages. It means in...

Homework Statement I've constructed a 5°x5° latitude/longitude cell, from 40-45° N and 85-90°W. This puts the center somewhere near the southern tip of Lake Michigan. I'm trying to find the average distance from the center of that cell (42.5°N, 87.5°W) to any other point in that cell...

Homework Statement Steel ball with a mass 17 grams, is launched at a speed of 6 m/s, into someones eye. The ball comes to a rest over a distance of 1mm. A) What is the average acceleration experienced by the ball to stop it? B) What is the deaccelerating force that must be exerted on...

1. Given that v(t) = -6 + 12 cos(2π200t + π/4) - 9 cos(2π400t + π/6) volts. The signal is applied to a 14 kΩ resistor. Find the average power dissipated on the resistor in mW. Round your answer off to two decimal places. 2. Pavg = (sqrt(Vdc^2 + vp^2/2))/R 3. I used the above...

I'm writing up an experiment I did for a lab course and I am calculating the error in quantity V. I have two runs and have ended up with a value of V for each one, as well as an error. Ie, I have V = 0.1145±0.0136 for Run 1 V= 0.1146± 0.0134 for Run 2 I got my errors through some tedious...