What should be the first step in adding these equations to eliminate y?
2 answers:
Answer:
(C) Multiply the bottom equation by 2.
Step-by-step explanation:
The given equation are:
(1)
and (2)
Now, in order to add these equations and eliminate y, we should multiply the bottom equation by 2, thus we have
(3)
(4)
Now, adding the above equations, we have
Now, substituting the value of x in equation (3), we have
Therefore, option (C) is correct.
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Answer: 0.353
Step-by-step explanation:
We know that 42% of all the female students participate in 2 sports this season. (58% is the percent that did not)
This means that if we select a random student, there is a 0.42 probability that the student did participate in 2 sports this season.
Other thing that i will use is that, if we have a group of N objects, and we want to create a group of K objects out of the N, the number of combinations is:
Now, out of 5, we want to find the proability that, at least 3 of them, did participate in at least 2 sports this season.
The probability that all 5 of them participated, is equal to the product of the individual probabilities. (so N = 5, and K = 5)
P = (0.42^5)*1 = 0.013
Now, if only 4 of them did participate (N = 5, k = 4), the probability is equal to:
P = (0.42^4)*(0.58)*5!/4! = (0.42^4)*(0.58)*5 = 0.09
The probability for only 3 is: (N = 5 and K = 3)
P = (0.42^3)*(0.58^2)*5!/(3!*2!) = (0.42^3)*(0.58^2)*(5*4/2) = 0.25
Then the total probability is:
P = 0.013 + 0.09 + 0.25 = 0.353
Answer:
This graph represents the function above.
