To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.
Step-by-step explanation:
Let T be the event that she hot the target and W be the event that there was a gust of wind.
P(T | W) = 0.4
P(T | W') = 0.7
P(W) = 0.3
P(W') = 1 - 0.3 = 0.7
a) P(W T) = P(W) x P(T | W)
= 0.3 x 0.4
= 0.12
b) P(T) = P(W T) + P(W' T)
= 0.12 + 0.7 x 0.7
= 0.61
c) P(she hits the target exactly once in two shots) = P(hits the target on first shot and misses on the second) + P(misses the target on first shot and hits on the second)
= 0.61 x (1-0.61) + (1-0.61) x 0.61
= 0.4758
d) P(W' | T') = P(T'W')/P(T') [Bayes' theorem]
= [0.7 x (1-0.7)]/[0.7 x (1-0.7) + 0.3 x (1-0.4)]
= 0.5385
Answer: B. Shifts right 5
Explanation:
When the number after the variable is in the parentheses, the transformation will be opposite of the sign. In this problem, the sign for 5 is negative so you would be going right 5 units because right is positive so that would be the opposite of the sign.
I believe the answer is 0.22