Answer:
( a ) 99°
( b ) 151°
Step-by-step explanation:
( a )
( 180 - 81 )° = 99°
( b )
( 180 - 29 )° = 151°
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
If the interest is the same for both accounts then:
.03x=.05(16000-x)
.03x=800-.05x
.08x=800
x=10000, since the interest is the same for both we can just double the interest from one investment to find the total interest earned each year...
.03(10000)2=$600.00
Answer:
$8.20
Step-by-step explanation:
0.70*4=2.80
1.80*3=5.40
5.40+2.80=8.20
$8.20
