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j015
05.05.2020 •
Mathematics
You can either have a big fight with probability .5 or a small fight with probability .5. If you have a big fight, there is a .8 probability of losing 2 points to your relationship status and a .2 probability of gaining 2 points. If you have a small fight, there is a probability of .6 of losing 1 point and gaining 1 point with probability .4. If your relationship ever has a value of negative or 0, you break off the relationship. If your relationship ever has a value of 5, then you ask the person to marry you. (Such a question either is answered with a yes and you live happily ever after or your relationship ends due to the added pressure of the question). Regardless of the relationship either becomes permanent or ends after this question.
What is the probability that your relationship will lead to a proposal?
Also, comment on the probability of this occurring if you were only marginally satisfied with the relationship (value of 1) and extremely satisfied (a value of 4).
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Ответ:
Part A: The amount of money is increasing by 83% per year.
Part B: 95%
The function g(r) recorded the greatest percent change
Step-by-step explanation:
Assuming
Part A;
For the function the percentage change is found by taking the slope between two consecutive points of the function and then seeing how it compares to the original amount
which is the amount increase per year. The percent this is of the original amount is
thus, the amount of money is increasing by 83% per year.
Part B:
The table gives shows us that the function is not linear, because there is no constant slope between the consecutive points, for example
and so on.
Now, let us find the percentage increase between the amount of money in consecutive years:
we clearly see here that percent increase is 95%.
Since the function g(r) has greater percent increase than f(x), we conclude that g(r) recorded the greatest percent change over the previous year.