Answer:
0.9009
Step-by-step explanation:
Let X be the event that Current will flow
Let Y be the event that the first relay which is 1 is closed
Thus, we can say that every element of Y is in X, but X possesses more elements. Thus, Y ⊂ X.
Thus, we can say that;
P(X ∩ Y) = P(Y)
Thus, given that current flowed, the probability that relay 1 functioned will be expressed as;
P(Y | X) = (P(Y ∩ X))/P(X)
From earlier, we saw that P(X ∩ Y) = P(Y). Thus;
P(Y | X) = P(Y)/P(X)
From the question, P(Y) = 0.9
Since there are 3 relays, then we have;
P(X) = 1 - 0.1³ = 0.999
Thus;
P(Y | X) = 0.9/0.999
P(Y | X) = 0.9009
Answer:
1 and 3
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
time is directly proportional to the number of problems in the set
=> x = ky
k = constant of proportionality
when k = 12
x = 12y
by making y the subject, we divide both sides by 12
=> y = x/12
So,
We can just subtract the fractions without converting any denominators. To do that, we can split the subtraction problem up as follows:
12 - 5 - 1/8
7 - 1/8
6 7/8
Sally still has 6 7/8 or 6.875 miles to run.
Answer: -2/4 is smaller than -1/5
Step-by-step explanation: If you keep goin down on the negative scale then you will see that -1/5 comes before -2/4
