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  1. An average tire used by a transportation company lasts 20,000 km with a standard deviation of 100 km. Assuming that the distance traveled by a tire is normally distributed, what is the probability that a tire used by the company will last at most 30,000 km?

A small particle has charge -5.00 uC and mass



2.00 x 10-4 kg. It moves from point A, where the electric poten-



tial is VA = +200 V, to point B, where the electric potential is



VB = +800 V. The electric force is the only force acting on the



particle. The particle has speed 5.00 m/s at point A. What is its



speed at point B? Is it moving faster or slower at B than at A?

A point charge q1, is held stationary at the origin. A second charge q2 is placed at a point a, and the electric potential energy of the pair of charges is −6.4×10 −8J. When the second charge is moved to point b, the electric force on the charge does 4.2×10 −8 J of work. What is the electric potential energy of the pair of charges when the second charge is at point b?

A charge of 28.0 nC is placed in a uniform electric field



that is directed vertically upward and has a magnitude of



4.00 104 V/m. What work is done by the electric force when



the charge moves (a) 0.450 m to the right; (b) 0.670 m upward;



(c) 2.60 m at an angle of 45.0° downward from the horizontal?

1. The demand curve is p=10-q. Calculate the consumer surplus and the total expenditure if the market price is 6. Calculate the consumer surplus again if the market price is 4.


2. Consider a consumer who has $100. The price for food is $1 /unit. The price for clothing is $2 /unit. Draw the budget line for this consumer. And draw a new budget line when the consumer’s wealth increased to $200 and the price of clothing increased to $4 /unit.


3. Draw the figure of the market equilibrium for the wheat market. Show what will happen if pesticide cost increases.



Three nano coulombs (nC) are placed at a seperate corner of a square with each side measuring 3cm. The two charges located at opposite vertices are negative, and other given charge is positive. Calculate the force experienced by a fourth 3nC when place at the missing corner. What is it orbital period and what its radial acceleration?

What would you expect to happen to the price of chicken samosas if the price of flour decreased and the price of chicken meat decreased?




Did you know that in lotteries, a 3-digit number with the same numbers in all digits like 777 will hit the jackpot in a casino? In the same manner, let's make a program that will test if a certain 3-digit number hits a jackpot or not by identifying if all the digits of a given number is the same as the second inputted number. If it is, print "Jackpot!"; else, print "Nah".



Let's try this out now!





Input



A line containing two integers separated by a space.

"\\forall" x,y "\\in" R, x2 +y2=9


the following problem graphically.




Player B




Player A 3 -3 4




-1 1 -3




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