You are given an urn with 100 balls (50 black and 50 white). you pick balls from urn one by one without replacements until all the balls are out. a black followed by a white or a white followed by a black is "a colour change". calculate the expected number of colour changes if the balls are being picked randomly from the urn.

In the triangle abc< angle c is a right angle. find the value of the trig function indicated. find tan a if a =12, b=5 a. 13/12 b. 12/13 c. 5/12 d.12/5

One positive number is 9 more than twice another. if their product is 95, find the numbers

Acoffee shop orders at most $3,500 worth of coffee and tea. the shop needs to make a profit of at least $1,900 on the order. the possible combinations of coffee and tea for this order are given by this system of inequalities, where c = pounds of coffee and t = pounds of tea: 6c + 13t ≤ 3,500 3.50c + 4t ≥ 1,900 which graph's shaded region represents the possible combinations of coffee and tea for this order?