Consider the planes 2r-2y+z=1 and r-y-z=5. What is the cosine of the angle between the two planes arkay your answer. (b) Find a parametrization of the line of intersection of these planes. Find the equation of the plane that passes through the line you found in (b), and is perpendicular to the plane-x+2y-2z = -13.

the television show survivor start with 20 contestants. at the end the final three contestant left get to plead their case to the jury to become the sole survivor. how many ways can they choose the final three contestants

How many ways can a jury of four men and three women be selected from twelve men and ten women? Please show all your . Thank you.

During the Computer Daze special promotion, a customer purchasing a computer and printer is given a choice of 3 free software packages. There are 8 different software packages from which to select. How many different groups of software packages can be selected?

198 students wear pretty costumes, 93 students wear traditional costumes. About how many students plan to wear a pretty or traditional costume?