N people guess an integer between 1 and 100, and the winner is the player whose guess is closest to 2 times the mean of the guesses. What is the equilibrium in this case?
Each player’s best response is to announce a number closest to twice the average, subject to the Constraint of the 100. So, each person wants to name a number above average, and so nothing is stable except all saying 100.
In a parallelogram, the base is 18 cm, and the height corresponding to the base is 10 cm. A perpendicular distance from the opposite vertex to the same ...
Two pipes A and B can fill a tank in 12 hours and 16 hours, respectively. A third pipe C can empty the tank in 24 hours. If all three pipes are opened t...
A cylindrical tank with height 14 m and diameter 6 m is 3/5th full. Find the volume of water in the tank.
In triangle ABC, if the sides are a = 13 cm, b = 14 cm, and c = 15 cm, find the circumradius (R).
(5.5% of 470) – (6.5% of 510) +2= ?
Auto text and Auto correct are____ tools.
A can complete a work in 20 days, B can complete it in 25 days, and C can complete it in 30 days. If all three work together, how long will it take to f...
A rectangular water reservoir contains 42,000 liters of water. Find the depth of water in the reservoir, if the base measures 6m by 3.5m
Rs. 8000 was lent in two parts, first part at 5 % p.a. and the remaining at 4% p.a. If the total simple interest from both the parts in 4 years was Rs. ...
The simple interest on a sum of money is 8/25 of the sum. If the rate of interest per annum is two times of the number of years in numerically. Find the...