Help would be appreciated

[kb788427]

If sin x cos y = -1/4 and sin y cos x = 1/4 then cos(x-y) could equal:
a) 0 b) .5 c)√2/2 d)√3/2 e) 1

If sin a = -.5, where π < a < 3π/2, and cos b = √3/2, where 3π/2 < b < 2π , then cos (a-b)=
a) √2/2 b) .5 c) -.5 d) -√3/2 e) -1

Coach Bear has 6 boys and 4 girls on his math team. One of the boys, Yogi, and one of the girls, Prissy, cannot be on the same 4-member number sense team. How many different 4-member number sense teams made up of two boys and two girls can Coach Bear form from his math team?
a) 45 b) 60 C)75 D) 90 E)105

All of the 20 mobile homes at Rainbow Park have at least one car. 30 Percent of the homes have at least 2 cars in their driveways and 2 dogs in their backyard. 45 percent of them have 2 dogs, but only 1 car. What is the probability that a home chosen randomly has at least 2 cars, but does not have 2 dogs?
a) 55 b) 37.5 c) 33 1/3 d)25 e) 15

[Salvadoramerican]

I'll say d because[unparseable or potentially dangerous latex formula] and with the identity[unparseable or potentially dangerous latex formula] so [unparseable or potentially dangerous latex formula] then [unparseable or potentially dangerous latex formula] so [unparseable or potentially dangerous latex formula]=d

for the secon one i wold draw a right triangle and deuce what values would equal 60 degrees and 30

[PokémonMaster]

For the third one, you have 90 combinations total (4C2)x(6C2). To find the chance that a specific person makes the team, you take r/n. Using this, you should find that there is a 1/6 chance of both Yogi and Prissy being on the team. Eliminating these combinations, you are left with 75 combinations. Is this the answer?

[Salvadoramerican]

pokemon master do you do math

[PokémonMaster]

Yes... I need to get a lot better, though, and I am not really competing in it anymore this year .

[Salvadoramerican]

You get better don't worry just study in the summer dats what i did i barely started at the very end of the uil season last year

[PokémonMaster]

Thank you. I plan on studying very, very, very, very, very, very, hard over the summer.
Also, was I right? :P