Answer:
36 gallons
Step-by-step explanation:
y = 4/5x
Let x = 45 minutes
y = 4/5 (45)
y = 36 gallons
Answer. :1.75x-2
Step-by-step explanation:
1/3h - 4(2/3h-3) = 2/3h -6
first distribute to take away the parenthesis
1/3h - 8/3h + 12 = 2/3h -6
there are different ways to go about this but i would multiply everything by 3h to just take away all those denominators, making it simpler to solve
1 - 8 +12(3h) = 2 - 6(3h)
simplify
-7 + 36h = 2- 18h
simplify
+7 +18h +7 +18h
54h = 9
/54 /54
h = 9/54
h = 1/6
Answer:
A) P(A|B) = 0.01966
B) P(A'|B') = 0.99944
Step-by-step explanation:
A) We are told that A is the event "the person is infected" and B is the event "the person tests positive".
Thus, using bayes theorem, the probability that the person is infected is; P(A|B)
From bayes theorem,
P(A|B) = [P(A) × P(B|A)]/[(P(A) x P(B|A)) + (P(A') x P(B|A'))]
Now, from the question,
P(A) = 1/400
P(A') = 399/400
P(B|A) = 0.8
P(B|A') = 0.1
Thus;
P(A|B) = [(1/400) × 0.8)]/[((1/400) x 0.8) + ((399/400) x (0.1))]
P(A|B) = 0.01966
B) we want to find the probability that when a person tests negative, the person is not infected. This is;
P(A'|B') = P(Not infected|negative) = P(not infected and negative) / P(negative) = [(399/400) × 0.9)]/[((399/400) x 0.9) + ((1/400) x (0.2))] = 0.99944