The table shows the probabilities of winning or losing when the team is playing away or is playing at home. home away totalwin 0.2 0.05 0.25loss 0.6 0.15 0.75total 0.8 0.20 1.00(a) are the events “winning” and “playing at home” independent? explain why or why not. (b) are the events “losing” and “playing away” independent? explain why or why not.

Sam claims that cos x =sin y if x and y are congruent angels. is sam correct ?

During your cycling trip, you and your friends often stayed in hostels. the prices of these are listed below. hostel standard room (price per night) with breakfast (price per night) super sleep hostels £22.45 £28.65 normandy nights £18.55 £25 zzzola hostels £24.50 £30.99 belgian beds £11.20 £18.55 night-time rest days ? £33 what is the range in cost for a single night, including both standard room prices and with breakfast prices?

If f(x) = 3x-2 and g(x) =2x+1 find (f-g)(x)