Average Definition and 1000 Threads

hi, i have these 3 functions [PLAIN]http://img804.imageshack.us/img804/2230/provakd.jpg i must calculate the resultant function, and to find the max, min and the average.. i have tried to calculate it, i have found these values (max=53; min=38; average=43) but the solution in my book are...

Dear everyone, consider a function f(x) of a random variable x with average m and probability distribution p(x). I would like to know under which conditions the average of f(x) is greater than f(m), i.e., under which conditions is the average of the function greater than the function...

In my graduating high school class there were 10 people who all had the same GPA, they had straight A+s. Like in most high schools all awards and student ranking was all based on your average percentage not GPA. Like I hope what I'm trying to say makes sense. There were 10 crazy people who...

hey guys I am very new to physics and its just not making sense at the moment and i know this is a very simple question but i just don't get how to get the velocity ! I've worked out the average speed but i have no idea what the next step is to get the velocity, any hints would be very much...

Homework Statement You drive on Interstate 10 from San Antonio to Houston. Half the time at 55 km/h, and the other half at 90 km/h. On the way back, you travel half the distance at 55 km/h and the other half at 90km/h. What is the average speed of the trip from San Antonio to Houston...

Homework Statement Find the average value of the positive y-coordinates of the ellipse x^2/a^2 + y^2/b^2 = 1 I don't know where to begin, please help.

Homework Statement A family travels from hither to yon one afternoon. On this day, the driver spends half the distance traveling at 77 km/hr and the remaining half at 50 km/hr. What is the average speed during the trip? Homework Equations The Attempt at a Solution I assumed that...

Let f(x) be the mean of five numbers: 4, 5, 7, 9 and x. Let g(x) be the median of the same numbers. For how many values of x, a real number, is f(x) = g(x)? I only got 2. x = 0, 10 There are 3 though. Perhaps someone can help me find the other one.

How does one get the average velocity from a velocity vs. time graph, when acceleration is not constant.

Homework Statement A coil with 10 windings(radius 0,07m) is inside a homogenous magnetic(B=0,050T) field, it makes an angle of 90 degrees with the field lines so the magnetic flux is at it's max. Over a period of 0,050 seconds it gets turned by 180 degrees, what is the average induced...

Homework Statement If fave [a,b] denotes the average value of f on the interval [a,b] and a<c<b, show that fave[a,b] = (c-a)/(b-a) fave[a,c] + (b-c)(b-a) fave[c,b]Homework Equations All i know is the mean value theorem for integrals is f(c) = fave = 1/(b-a) integral(f(x),x,b,a) The Attempt...

Homework Statement When I looked a physics for a while, I learned that average velocity is the sum of the initial and final velocities divided by two. However, I looked through one of my calculus books and it defined average velocity as the change in displacement over the change in time. Could...

***Fun Challenge -- weighted average of global rankings*** Goal The goal is to create a weighted average of global rankings. Does not have to be perfectly accurate (if that was even possible). Specific Example To make this problem less abstract and easier, we are going to use a specific...

Homework Statement A square loop with side-length a is positioned at the centre of a long thin solenoid, which has radius r (with r > a), length l and N turns. The plane of the loop is perpendicular to the 5axis of the solenoid. A current I = I0 sin ωt flows through the loop. Derive an...

1. Done in a lab: % difference: 0.679%, inherent error: 0.7%, % RAD: 0.941%. Anyway, I'm just having trouble interpreting what they mean in comparison to each other. What does the inherent error say about the % difference? And what does it mean if my %RAD is greater than my inherent error...

Homework Statement I will just try to post the whole questions, maybe my idiot eyes missed something... an arrow is accelerated for a displacement of 75cm [fwd] while it is on the bow, if the arrow leaves the bow at a velocity of 75m/s [fwd] what is it's average acceleration while it's on...

---- A silver wire 2.6mm in diameter transfers a charge of 420 C in 80min . Silver contains 5.8*10^28 free electrons per cubic meter. What is the current in the wire? ----- I have correctly solved this problem using I= Q/t, but I am a bit confused by this. Correct me if I'm wrong, but this...

Homework Statement A car traveling in a straight line has a velocity of 5.51 m/s at some instant. After 7.36 s, its velocity is 8.09 m/s. What is its average acceleration in this time interval? Answer in units of m/s^2. Homework Equations avg. acceleration = (v2 - v1) / (t2 - t1)...

Dear all, let's say I want to know the elasticity constant of a spring (k), so I measure several times different values for the force applied to the spring, F, and the displacement of the spring, x. So, for N measures, I have xi and Fi and their uncertainties. Now, I'm really not an expert of...

Homework Statement https://wug-s.physics.uiuc.edu/cgi/courses/shell/common/showme.pl?cc/DuPage/Phys1202/summer/homework/Ch-21-DC-Circuits/flashbulb_circuit/light-bulb.jpg The above shows a simplified circuit for a photographer's flash unit. The circuit consists of a V = 9 V battery...

Hi I am trying to work this out, but i just cannot find anything on how to work it out, I need to create this for a project and need to calculate itQuestion A Simple single loop generator, the loop has a length of 40mm and diameter 20mm. The flux density is 0.8 Tesla and the loop rotates at 50...

Homework Statement "A 0.15 kg apple falls from a branch 20 m above the ground. If it hits the ground with a speed of 17 m/s, what was the average friction force (due to air resistance) exerted on the apple?" Homework Equations At first, I thought I would use conservation of energy, PE = KE +...

Say there is a chance p of an event happening each attempt. How many attempts (on average) would it take for this event to occur once? For example, say the event is a racquetball player hitting a killshot, which he has a 20% chance of doing every shot. On average, how many shots until he hits...

Hi All, Sorry perhaps for a stupid question, but I am pretty confused by this one... Suppose I have two different smooth functions, f(x) and g(x) both defined on a closed interval [a,b]. How do I calculate the average relative distance between the all values of these functions (say relative...

Hi, I have the following problem, can anyone help? I have 744 simple ascii files. Each of them has the following format: One line header and a column of values. The column has 275648 values (rows). The target is to create 248 simple ascii files (744/3). Each of the new files has the...

Homework Statement Calculate the average binding energy per nucleon in the deuterium nucleus. Homework Equations Average binding energy= total binding energy/mass number The Attempt at a Solution Would i first have to find the mass of the nucleus and then the difference in mass? My...

Homework Statement The velocity of the transverse waves produced by an earthquake is 6.96 km/s, while that of the longitudinal waves is 12.0408 km/s. A seismograph records the arrival of the trans- verse waves 59.4 s after that of the longitudi- nal waves. How far away was the...

Homework Statement This is part of a bigger problem, I simplify to just: P=k sin^2 \omega t How do I integrate over one cycle? The Attempt at a Solution \left\langle P \right\rangle = \int_0^T k\; sin^2 (\omega t) d t \;\hbox { where }\; T= \frac c f = \frac {2\pi}{ \omega}...

A train leaves the train station at 9:00 am and travels at a constant speed of vt = 65 km/hr on a straight track. At 10:30 am, a car leaves the same train station and travels in the same direction at vc = 115 km/hr on a road next to the train track. a.How far from the station is the place...

Homework Statement 1. the average velocity of the air to meet the required volume flow rate, 2. the pressure a fan needs to produce to overcome the frictional losses in the duct, 2. Relevant Information Duct size - 600 mm x 600 mm which operates at 3 Pa/m. The air path is 87 meters from...

I was wondering is there any research that has been done into the typical amount of force generated duing a car crash. Eg, when the car hits a wall for example does anyone know the average force needed to stop it? thoght it'd be interesting to know since I'm doing similar research on this...

How to make it causal: y (n) = x ((n-1) + x(n) + x(n+1))/3

Hi, please look at the following equation. \frac{3}{16}\frac{\nu_{Q}^{2}}{(1+K_{iso})\nu_{0}} \left(\frac{7}{2} \cos^{4}\theta - 3\cos^{2}\theta + \frac{5}{6}\right) In the paper I am reading, this is simplified considering the isotropic average of a cosine function to...

I am a math major and I am in my 3rd year of undergrad. So I will be applying to grad schools in the fall. I would like to get a PhD. My only worry is that I am only an average student in my math classes. I believe that I am more passionate about the subject than most math majors. I work hard...

Homework Statement A projectile of mass 0.656 kg is shot straight up with an initial speed of 25.4 m/s. (a) How high would it go if there were no air resistance? (b) If the projectile rises to a maximum height of only 7.64 m, determine the magnitude of the average force due to air...

I currently have a B+ average. Is this good for an engineering student. Will I be able to get a good job with these kinds of grades?

Hello everyone, In Fermi Liquid Theory, I'm trying to understand what the relationship is between the Green's function and the average occupancy of levels. In my lecture they gave the relation \left\langle n_k \right\rangle = G(k,\tau\rightarrow 0^+) Anyone know where this comes from...

Hi everyone! I really need your help if you are good in time series. I have a problem on moving average representations. I attach the problem description; also, I attach my attempt to solve it. Cannot go any further. Please please help me. Thank you!

1. A 2000kg car, initially at rest, is accelerated along a horizontal roadway at 3m/s^2. What is the average power required to bring the car to a final speed of 20m/s? 2. I don't know the relevant equations :( 3. Well I first tried force multiplied by the final velocity which is...

Hi First of all, this is not a homework question, but I'm sorry if it's in the wrong sub-forum. I know that a football (soccer) has been kicked a distance of 5 meters using 0,16 seconds, that would give an average speed of 112,5 km/h, or approx 31 m/s. But since the speed of a football is...

The problem and attempted solution is in the attached document. My teacher said: "This is a confusing question. They use the word 'rate' in the description of the information. But, if you change 'growth rate' to 'something' they are asking for the average something, not the rate of change of...

I've been reading my strength of materials text about design of steel beams. I understand everything up to the point where the text tells me to use the average web shear stress (V/dt) instead of max shear stress (VQ/It) to determine if a given beam is within the allowable shear stress. I...

Hey quick question regarding the average value of a function; What is the difference in finding the average velocity over an interval given the position function, s(t), and the velocity function, v(t)? I don't get it?

Hi, I know very little about maths. I'm struggling to get my head around a question I was asked today, and I was wondering whether someone could explain it to me. Question: If a very large group of kids took it in turns to roll a die again and again until it landed on '1', on average how...

Hello! I want to know if average value of cos^2 is indeed 1 ? Thank you.

When we are considering the how much optical power a component/pin detector can withstand, are we more concerned about keeping an eye on the peak power or can we ignore the peak power so long as the average power is below some threshold value?

I know that the expectation value of momentum is always 0 for a stationary state. But, is <p> always zero when the time-dependent parts of the wavefunction cancel out? Is the following statement true? <p> = 0 when the full wavefunction can be separated into a time component times the...

5 million years? 10 million years? I'm especially interested since the Pliocene was much warmer than today (with much higher sea levels), and it came only 5 million years ago.

Homework Statement The helium-neon lasers that we use in lab produce light waves with an average power of 0.85 mW. Suppose that at a distance of 1.0 m from the laser the beam has a diameter of 1.1 mm. a) What is the average intensity of the laser beam 1.0 m from the laser? b) What is the...

Not sure why my threads are closed ? As I think this needs an answer. To be honest, I do not think most here might have understood the question; let me explain the answer for you. Imagine a giant Butterfly, one Butterfly flaps their wings once up for a height of 3m, taking 3 seconds, and then...