Amagician shoed a magic trick where he picked one card from a stacked deck. determine what probability is that the card will be a queen card

If cos(2x) = tan^2(y), show that cos(2y) = tan^2(x).

Clarence wants to buy a new car. he finds an ad for a car that costs 27,200 dollars. suppose his local sales tax is 7%. -how much would he have to pay? -what is the cost of the car including tax? -if clarence has 29,864 saved, can he pay cash to buy the car?

Suppose that in 2008 , 840,800 citizens died of a certain disease assuming the population of teh country is 399 miliion, what is the mortality rate in units of deaths per 100,000 people?