Lines a and b are cut by transversal f. At the intersection of lines f and a, the top left angle is 96 degrees. At the intersect
ion of lines b and f, the bottom right angle is (6 x minus 36) degrees.
What must be the value of x so that lines a and b are parallel lines cut by transversal f?
10
20
22
32
What must be the value of x so that lines a and b are parallel lines cut by transversal f?
10
20
22
32
2 answers:
Answer:
Option C.
Step-by-step explanation:
It is given that lines a and b are cut by transversal f.
If a transversal line intersect two parallel lines, then the alternate exterior angles are same.
We need to find the value of x so that lines a and b are parallel lines cut by transversal f.
So, equate both alternate exterior angles.
Add 36 on both sides.
Divide both sides by 6.
The value of x is 22. Therefore, the correct option is C.
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1) 4.55
2) Short hit
Step-by-step explanation:
1)
The table containing the score and the relative probability of each score is:
Score 3 4 5 6 7
Probability 0.15 0.40 0.25 0.15 0.05
Here we call
X = Miguel's score on the Water Hole
The expected value of a certain variable X is given by:
where
are all the possible values that the variable X can take
is the probability that
Therefore in this problem, the expected value of MIguel's score is given by:
2)
In this problem, we call:
X = Miguel's score on the Water Hole
Here we have that:
- If the long hit is successfull, the expected value of X is
- Instead, if the long hit fails, the expected value of X is
Here we also know that the probability of a successfull long hit is
Which means that the probabilty of an unsuccessfull long hit is
Therefore, the expected value of X if Miguel chooses the long hit approach is:
In part 1) of the problem, we saw that the expected value for the short hit was instead
Since the expected value for X is lower (=better) for the short hit approach, we can say that the short hit approach is better.