Step-by-step explanation:
(a) If his second pass is the first that he completes, that means he doesn't complete his first pass.
P = P(not first) × P(second)
P = (1 − 0.694) (0.694)
P ≈ 0.212
(b) This time we're looking for the probability that he doesn't complete the first but does complete the second, or completes the first and not the second.
P = P(not first) × P(second) + P(first) × P(not second)
P = (1 − 0.694) (0.694) + (0.694) (1 − 0.694)
P ≈ 0.425
(c) Finally, we want the probability he doesn't complete either pass.
P = P(not first) × P(not second)
P = (1 − 0.694) (1 − 0.694)
P ≈ 0.094
The angle between two vectors is:
CosФ = u - v / Magnitude(u) x magnitude(v)
Magnitude of u = SQRT(7^2 + -2^2) = SQRT(49 +4) = SQRT(53)
Magnitude of v = SQRT(-1^2 +2^2) = SQRT(1 +4) = SQRT(5)
u x v = (7 x -1) + (-2 x 2) = -7 + -4 = -11
cosФ = -11 / sqrt(53) x sqrt(5)
cosФ = -11sqrt265) / 265
Ф =cos^-1(-11sqrt265) / 265)
Ф=132.51 degrees.
Yes its correct you did well :)
I believe the amount of income tax the doctor has to pay is $9,127.5
