)alice and bob each draw k cards out of a deck of 52 distinct cards with replacement. find k such that the expected number of common cards that both alice and bob draw is at least 1.

Acarnival sold tickets for $1.50 for adults and $1.00 for students. there were 54 tickets sold for a total of $70.50. write a system of equations to represent the number of adult tickets,x, and the number of student tickets,y. find the solution and explain what it means. i'll you if you me

When only separate discreet points are graphed it is called?

Awater tank holds 18000 gallons. how long will it take for the water level to reach 6000 gallons if the water is used at anaverage rate of 450 gallons per day