# average

1. ### How do I find the average speed when an airplane is flying in circles?

The problem is as follows: At an air exhibition a biplane is flying in circles as shown in the figure from below. It is known that type of motion of this airplane is a rotation with constant angular acceleration. The radius of the circle is $2\,m$. Using this information find the average speed...
2. ### How do I find the average angular velocity between two points?

The problem is as follows: In the figure from below it is shown an observer who has put himself at the center of the coordinate system. He sees an object moving in a circular trajectory. If the average speed between $A$ and $B$ is $\left ( -2\hat{i}+\hat{j} \right )\frac{m}{s}$ and its position...
3. ### Explain this step in Average speed problem?

What is the average speed of a man who works at 1kmph for 1 hour, 2 kmph for 2 hours........ till 10 kmph for 10 hours? A) Average speed = (Total distance)/(Total time) = (1*1+2*2+3*3â€¦â€¦.10*10)/(1+2+3****+10) = {1/6 n(n+1)(2n+1)}/ {1/2 n(n+1)} = 2n+1/3; (n = 10) = 7...
4. ### How to find average speed for this problem?

What is the average speed of a man who travels 1/4th distance at 10kmph, 1/3rd the distance at 20kmph and the rest at 12.5 kmph? Solution: Remaining time = 1 â€“ (1/4 + 1/3) = 5/12 Multiplying 12 to fractions to get whole numbers; 3, 4 & 5. After this how to proceed?
5. ### Average value

Find the mean value of a_n =\frac{1}{n} \; , n\in \mathbb{N}.
6. ### Average velocity

I found the average velocity this way x0=120 X=x0+vt X=120+0.5*80 X=160 Vav= 160Ã·5=32 But answer is not correct according to my book why?
7. ### Weighted Average question

Hey, I am trying to read up on the term Weighted Average. In doing this I found the following article posted by Investopedia: https://www.investopedia.com/terms/w/weightedaverage.asp My question is. Isen't there an error in the table calculation? The article states that the weighted...
8. ### Percentage question and solving given average

Hi I'm new here. I have a question about solving for an average number. It might be pretty basic but I'm just too tired to think tonight. I am trying to solve for what two proportions make up an average of 44% given that a occurs 73% of the time and another thing occurs 27% of the time. I...
9. ### Fortnite math problem: is the average win rate exactly 1%?

At first I thought for sure it's 1% exactly, but then I realized I was wrong. Consider two cases: Suppose there are exactly the same 100 players each game. In this case, since 1 player wins and the rest lose, the average win rate after n games is: (\sum_{i=1}{100} games won by person i /...
10. ### Average Weighted Interest Rate

Dear, I've got a problem which I am unfortunately unable to solve. How can I compare the 3 loans below, to get an Average Weighted interest rate? Loan 1 Loan: 100.000 Residual Value: 0 Period: 60 months Nominal Interest Rate : 2% Loan 2 Loan: 50.000 Residual Value: 10.000 Period: 72 months...
11. ### The present average age of....

The present average age of a family of five members is 29 years. If the present age of the youngest member in the family is five years, then what was the average age of the family at the time of the birth of the youngest member {Ans is 30} I tried: Average of five members is \frac {X}{5} = 29...
12. ### What is the approx average of different probable heights of Gopi?

In Gopi's opinion his height is greater than 168 cm but less than 178 cm. His siter does not agree with Gopi and she thinks that Gopi's height is greater than 172 cm but less than 176 cm. His mother's view is that his height cannot be greater than 175 cm. If all of them are correct in their...
13. ### [average] What is the total weight of the boys?

In a class, the average weight of girls is six kg less than the average weight of boys. The numbers of boys and the numbers of girls are the same. The average weight of boys is three kg more than the numerical value of the number of girls. If the average weight of the girls is 22 kg, What is the...
14. ### Find the average weight of the total students.

The average weight of 30 students is x kg and the average weight of another 30 students is y kg. The ratio of x and y is 2:3. Find the average weight of the total students. I tried: \frac {30(X) + 30(Y)}{X+Y} $\frac {X}{Y}$= \frac{2}{3} X = \frac {2Y}{3} \frac {30(\frac {2}{3})Y +...
15. ### What is the average of all the odd natural numbers upto 51?

Find the the average of all the odd natural numbers upto 51. Sum of odd numbers is n^2. Here n is 51. 51 stands in 26th position in odd natural numbers. Average is \frac{n^2}{26} = 100.03 But answer is 26. Please help me.
16. ### [Weighted average] Is last para saying that first para is wrong?

In my book, in Averages chapter there is a line which tells us: There are two sections A and B of a class where the average height of section A is 150 cm and that of section B is 160 cm. On the basis of this information alone, we cannot find the average of entire class (of the two sections)...
17. ### Why is my book shows that we cannot find the average of entire class?

In my book, In Averages chapter there is a line which tells us: There are two sections A and B of a class where the average height of section A is 150 cm and that of section B is 160 cm. On the basis of this information alone, we cannot find the average of entire class (of the two sections)...
18. ### average number

A bag contains 5 white balls. The following process is repeated. A ball is drawn uniformly at random from the bag (that is each of the five balls have equal probability (= 1/5 ) of being drawn in each trial). If the color of the drawn ball is white then it is colored with black and put into the...
19. ### What is the probability that the average velocity is â‰¥ 10^(âˆ’9 ) cm/sec?

Physicists say that particles in a long tube are constantly moving back and forth along the tube, each with a velocity Vk (in cm/sec) at any given moment that is normally distributed, with mean Âµ = 0 and variance Ïƒ ^(2) = 1. Suppose there are 10^(20) particles in the tube. What is the...
20. ### Average product of labor.

APL = Q/L When I started to think that I have finally gotten the hang of this, I lose everything.... Help needed.