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
Given:
The equation is:
To find:
The error in the given equation and correct it.
Solution:
We have,
Taking left-hand side, we get
![[\because a^2-b^2=(a-b)(a+b)]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5E2-b%5E2%3D%28a-b%29%28a%2Bb%29%5D)
![[\because (ab)^x=a^xb^x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28ab%29%5Ex%3Da%5Exb%5Ex%5D)
It is not equal to right-hand side 
. In the right hand side, there must be a negative sign instead of positive sign.
Therefore, 
.
Answer:
A
Step-by-step explanation:
The formula that relates current, power and resistance is
Where
I is the current (in amperes)
P is the power (in watts)
R is the resistance (in ohms)
We know P = 500 and R = 25, we plug them into the formula and solve for I:
Correct answer is 4.47 Amperes, or choice A.
A. because it's a lower chance of you being robbed and getting your money taken away
