Answer:
In the given figure the point on segment PQ is twice as from P as from Q is. What is the point? Ans is (2,1).
Step-by-step explanation:
There is really no need to use any quadratics or roots.
( Consider the same problem on the plain number line first. )
How do you find the number between 2 and 5 which is twice as far from 2 as from 5?
You take their difference, which is 3. Now splitting this distance by ratio 2:1 means the first distance is two thirds, the second is one third, so we get
4=2+23(5−2)
It works completely the same with geometric points (using vector operations), just linear interpolation: Call the result R, then
R=P+23(Q−P)
so in your case we get
R=(0,−1)+23(3,3)=(2,1)
Why does this work for 2D-distances as well, even if there seem to be roots involved? Because vector length behaves linearly after all! (meaning |t⋅a⃗ |=t|a⃗ | for any positive scalar t)
Edit: We'll try to divide a distance s into parts a and b such that a is twice as long as b. So it's a=2b and we get
s=a+b=2b+b=3b
⇔b=13s⇒a=23s
The answer would be -27 but since you aren't using negatives, A trick I use is cross the line change the sign. So it would be 1/27 I believe
Answer:
sorry
Step-by-step explanation:
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Answer:
1/6 = 16.67%
Step-by-step explanation:
There are a total of 24 m&ms. The probability of picking an m&m that has a quantity of 4 is 4/24 = 1/6 = 16.67%
If A denotes some event, what does Ā denote?
If P(A) = 0.992, what is the value of P(Ā)?
Answer :
A denotes some event , Ā denotes the complement of A that is Ā contains all the events that does not occur in A.
Given: P(A) = 0.992
We know total probability =1
P(A) + P(Ā)= 1
P(Ā)= 1 - P(A)
P(Ā)= 1 - 0.992 = 0.008
P(Ā) = 0.008
