In the smallest of the three triangles (with sides 
) we have
In the second-largest triangle (with sides 
), the length of the missing side is 
. Then in the largest triangle (with sides 
), we have
Equivalently, we have
In turn, we find
Answer:
Step-by-step explanation:
If 70 is 50% then 140 is 100%.
c is 75% of 140 = 105
a is 25% of 140 = 35
b is 100% of 140 =140
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
9514 1404 393
Answer:
(b) 60°
Step-by-step explanation:
The sum of angles in a pentagon is 540°, so you have ...
90° +90° +150° +x +150° = 540°
x = 540° -480°
x = 60°
Answer:
C. 2
Step-by-step explanation:
Cohen's d is a parameter used to express the standardised difference between two means. It is defined as the difference between the means divided by the pooled standard deviation.
In this case, the difference between both means (M2-M1) is 8. As for the pooled standard deviation, simply take the square root of the given pooled variance:
Therefore, the value of Cohen's d (d) is:
