The 1st stage: x, the 2nd stage: y.
x + y = 152
x = y + 28
y + 28 + y = 152
2 y = 152 - 28
2 y = 124
y = 124 : 2 = 62
x = 62 + 28 = 90
Answer: the first stage burns 90 seconds and the second burns 62 seconds.
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
36 for the first one 39 for the second one
Answer: 
Step-by-step explanation:
To solve for y, we want to make sure y is isolated. SInce y is already isolated, all we need to do is divide both sides of the equation by 3.
[divide both sides by 3]
or 
Answer:
The Principal is $877.19 And Compound Interest is $372.81
Step-by-step explanation:
Given as :
Amount after investment = $1250
The time period of investment = 6 years
The nominal rate = 6% compounded semiannually
Let the principal = P
From compounded method
Amount = Principal × 
Or, $1250 = P × 
Or, $1250 = P × 
Or, $1250 = P × 1.425
∴ P =
I.e P = $877.19
So , Principal = $877.19
Now, Compound Interest = Amount - Principal
= $1250 - $877.19
Or, CI = $372.81
Hence The Principal is $877.19 And Compound Interest is $372.81 Answer