Answer:
155
Step-by-step explanation:
Answer: The required probability is 0.25.
Step-by-step explanation:
Since we have given that
Radius of the dartboard = 4 in
Area of the dartboard is given by

Radius of the shaded region = 2 in
Area of shaded region is given by

So, the probability that the dart lands in the shaded circular region is given by

Hence, the required probability is 0.25.
Answer:
B= y+2w
Step-by-step explanation:
We can see that A= y+3w, so because B is missing one of the w's, the area must be y+2w.
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
I thin there are in 48 in 3 gallons