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:
(a) $60 | (b) $660
Step-by-step explanation:
We can use the simple interest formula for this:
<em>I = interest amount</em>
<em>P = principal amount</em>
<em>r = interest rate (decimal form)</em>
<em>t = time (years)</em>
<em />
First, change 5% into its decimal form:
5% -> 
-> 0.05
Next, plug in the values into the equation:
<em>The interest earned is $60. To find the total balance, just add the $600 back.</em>
The total interest earned is $60 and the total is $660.
If it costs $60 for 200 minutes you can do $60 divided by 200 to find how much money it costs per minute which equals .3 or 3 cents a minute. so if you have 1272 minutes you can multiply that by .3 and it equals $381.60
Answer:
x^2 - (4+13i)^2
Step-by-step explanation:
This product has the form (a-b)(a+b), which is a 'special product' equal to a^2 - b^2. Following this pattern, [x-(4+13i)][x-(4+13i)] = x^2 - (4+13i)^2. The 2nd term could be expanded if desired, but the above result is the most compact one possible.
