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: y - 5 = -5/6 (x - 18)
Step-by-step explanation:
The point-slope form of a linear equation is written using the slope of the line and one point in the line. From part A, the slope of the line representing this situation is m = -5/6.
Since x represents the number of 10-student groups and y represents the number of 12-student groups, the combination of 18 groups of 10 students and 5 groups of 12 students is represented by the point (18,5).
Answer:
the answer would be .5 miles
Step-by-step explanation:
Answer: 1/54 if jokers are included.
Answer:
There are 30 different types of shampoo.
Step-by-step explanation:
Each shampoo has a color-code bottle, lid, and label print.
For bottles, there are five different colors, so there are five different possibilities.
For lids, there are three different colors, so there are three different possibilities.
And for labels, there are two different colors, so there are two different possibilities.
To find how many different types of shampoo can be made, we just need to multiply all the possibilities for colors of bottle, lid and label:
Number of different types of shampoo = 5 * 3 * 2 = 30
