Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were all
ergic to penicillin, Nathan has a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate. What is the probability that Nathan is not allergic to penicillin and the test predicts it? 0.005 0.015 0.245 0.735
To solve the question we shall use the formula for the range given by: Horizontal range, R=[v²sin 2θ]/g plugging in our values we get: 500=[160²×sin 2θ]/10 5000=160²×sin 2θ 0.1953=sin 2θ thus: arcsin 0.1953=2θ 11.263=2θ hence: θ=5.6315°~5.63
and 
, you end up with 
and 
. Now
gives 
, so
