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A gang high jacked the plane which was carrying 200 passengers in it. All the kidnapped passengers were locked in a room. One day, the chief of gang told to all 200 passengers that, "Tomorrow, I am going to execute you all one by one. I am going to make you all stand in a row and going to put a hat on all of your heads which are either Black or White. Every person will be able to see all hats ahead of him but not what is on his own head or behind him. You can only shout White or Black. If you guess the color of your hat right, you will be saved otherwise executed. I will start from last person in a row" and then he left. Scared passengers have one whole night to prepare a strategy so that minimum of them will get executed. Can you guess the strategy ?
Find the values of f(x) at which each of the following functions is discontinuous. Why is the function discontinuous at that value?
rotating at a rate of one revolution every 2 minutes. How fast is a rider rising when the rider is 25 m above ground level?
Find the general solution of the network flow. Find the smallest possible value for x6.
A geometric progression has first term log_2 27 and common ratio log_2 y, find the set of values of y for which the geometric progression has a sum to infinity.
Train A leaves a station traveling at 64 kilometers per hour. Two hours later, train B leaves the same station traveling in the same direction at 84 kilometers per hour. How long does it take train B to catch up to train A?
A chemist needs to mix a 75% saltwater solution with a 50% saltwater solution to obtain 10 gallons of a 60% saltwater solution.
Assume you have noted the following prices for paperback books and the number of pages that each book contains. Develop a least-squares estimated regression line.
which decision should the financial manager make?
If the price of the is $1 per liter and the driver is paid $8 per hour, at what speed between 80km/h and 100km/h is it the most economical to drive?
If two trains are 100 miles apart traveling directly toward each other, with one moving at 5 mph and the other moving at 10 mph, and a fly starts at the front of one train and goes directly toward the other train at 15 mph,
If a system of m linear equations in four unknowns has a unique solution, then m must be greater than or equal to four. If a system of m linear equations in four unknowns has no solutions, then m must be greater than or equal to four.
If using induction to prove that 5n 1 is divisible by 4 for alln e 1, provide the base case, the assumption step, and a final step that can be used to prove for alln. Note: Please use ^ for exponent. For example, 3 ^ 2 = 9
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