Please help me! If the ratio y/x is the same for all related pairs of x and y, what does that mean about the relationship betwee
1 answer:
Answer:
Please check the explanation.
Step-by-step explanation:
If the ratio y/x is the same for all related pairs of x and y, it means it represents a proportional relationship.
In other words, '' varies proportionally with '
' or that '
' is directly proportional to '
'.
When we say the ratio is the same, it means when '' increases, '
' increases and as '
' decreases, '
' decreases
Using the equation
y ∝ x
y = kx
k = y/x
Where 'k' is the proportionality constant.
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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.