An individual's chances of being killed by a lighting strike in a given year is 1/5,000,000. the georgia lottery has just invented a new game "thunder" in which you win if you guess 5 out of 65 numbers right (order does not matter). true or false: your chances of winning thunder are higher than your chances of dying in a lightning strike in a given year.

When a company produces and sells x thousand units per week, its total weekly profit is p thousand dollars, where upper p equals startfraction 800 x over 100 plus x squared endfraction . the production level at t weeks from the present is x equals 4 plus 2 t. find the marginal profit, startfraction dp over dx endfraction and the time rate of change of profit, startfraction dp over dt endfraction . how fast (with respect of time) are profits changing when tequals8?