The first thing we are going to do in this case is find the slope of the GH line.We have then:
m = (y2-y1) / (x2-x1)
Substituting values:
m = (- 2-1) / (2 - (- 4))
m = (- 3) / (6)
m = -1 / 2
Then, the generic equation of the line is:
y-yo = m (x-xo)
Since the lines are parallel, then the slope is the same
m = -1 / 2
The line passes through point J, that is:
(xo, yo) = (1, 3)
The equation of the line will then be:
y-3 = (- 1/2) (x-1)
Rewriting:
y-3 = (- 1/2) x + 1/2
y = (- 1/2) x + 1/2 + 3
y = (- 1/2) x + 7/2
The points that pass through this line are:
(-3, 5)
5 = (- 1/2) (- 3) +7/2
5 = 3/2 + 7/2
5 = 10/2
5 = 5
(3, 2)
2 = (- 1/2) (3) +7/2
2 = -3 / 2 + 7/2
2 = 4/2
2 = 2
(5, 1)
1 = (- 1/2) (5) +7/2
1 = -5 / 2 + 7/2
1 = 2/2
1 = 1
Answer:
(-3, 5)
(3, 2)
(5, 1)
Id say the first one because the points just touch down
Answer:
- <em>The probability that the second favorite character will die given that the first favorite character dies is</em><u> 0.53</u>
- <u>This kind of probability is called conditional probability</u>
Explanation:
Name the events and their probabiities:
- Event A: her favorite character will survive, so P (A) = 0.70
- Event B: her her second favorite character will die, so P(B) = 0.75
- Both characters will die ⇒ P (B and not A) = 0.16
You want to find P (B | not A).
That is the probability of the succes B (the second favorite character will die) given other event (not A or the first favorite character dies) is certain (it happens) and that is called conditional probability.
- P (not A) is the complement probability of A, so P (not A) = 1 - P(A) = 1 - 0.7 = 0.3
So, you have P(B), P(not A) and want to find P (B | not A)
The definition of conditional probability is:
- P (X | Y) = P (X and Y) / P (Y)
So, replacing with our terms, we get:
- P ( B | not A) = P (B and not A) / P (not A) = 0.16 / 0.3 ≈ 0.53
Step-by-step explanation:
2 log 4 (1/4i)
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