Jeffrey K

Assume he is outside for only a short time, so he doesn't get frostbite or hypothermia. 

Will he catch a cold or flu? Aren't they caused by a virus? 

Give me an example of how reporting a house on fire can be biased. Or a bank robbery? How about the score of a ballgame? Or the weather forecast? 

Each digit must be used only once. The rows and top left to lower right diagonal and top right to lower left diagonal must be three digit prime numbers. 

When discovering a new particle or exoplanet or anything, a spike in the data must be higher than a random fluctuation in the background noise. How many standard deviations above average must it be for scientists to accept it as a discovery? What percent of uncertainty is acceptable? 

How can it be tasty or good to burn your mouth while eating? You are giving yourself a painful physical injury, aren't you? 

For example, how do you find the inverse function of Y = X^X ? Solving for X in terms of Y can't be done using basic algebra. How do I calculate the power series expansion of the inverse function?

Is there an algorithm, short cut, or trick to raising an integer to a large integer power other than by multiplying by itself over and over? 

I'm asking for a pencil/paper calculation, not a computer program. 

N is any real number.

I'm just looking for a real number solution. It is guaranteed to have at least one. 

Not that this would ever happen, but IF the president did order this, would the military be required to obey his commands? He is the Commander-in-Chief. 

When it is your turn at a bakery or deli counter, should you buy only one item, then go to the back of the line and wait your turn again? Or is it acceptable to order several items and let people behind you wait? 

How would I find the area under the normal curve between Z= -5 and Z = +5 ? Or some other numbers >3? 

Tables say it is almost 1 and the tail above Z=3 is just about 0, but how can I find the actual numbers? 

A signal can't go thru the sun. But Mars is rarely exactly behind the sun. How close to the sun can a signal pass and still be detectable? 

Notice two sequences of thirteen zeros with 666 in middle.

Using a computer to divide this number by every prime up to the square root of this number will take years. Is there a faster clever way to show it is prime? 

Is there a rule about ref interference? Could the play be a do-over? 

Two contestants are in separate rooms. The host goes in each room and flips a coin. Both people guess if coin was heads or tails in the opposite room. If both are wrong, game is over. If at least one is right, we do another round. Contestants both win a billion dollars if game lasts 100 rounds. What strategy will make them winners?

They can speak to each other before the 1st round but can't communicate after game begins. 

You have a probability of 3/5 of winning a game of chance. You play the game 100 times. What is the prob of winning more than 70 games? 

Do I need to calculate the prob of winning exactly 71 games, then prob of winning 72 games, and so on up to 100, then add those probabilities together? Is there a better faster way to do it? 

The equivalence principle says being at rest in a gravitational field and being under a constant acceleration are indistinguishable. A charged object in an accelerating rocket should emit EM radiation but the same object sitting on the floor on Earth doesn't emit radiation. Doesn't this violate the equivalence principle? 

The holder catches the ball with his knee on the ground before the kicker kicks it. In college rules, he does not need to be touched. So why isn't the play over before the kick?