2 answers:
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Answer:
; line D in the options.
Step-by-step explanation:
The set of equations has no solutions if the two lines are parallel. A quick way to create a parallel line is to solve for y, put it in slope-intercept form. Else, as long as the cofficient of x and y are in the same ratio (in this case 1:1), the two lines are parallel, you just have to be careful not to pick the same line again!
The condition makes sure you are still getting lines (else you would get rid of both x and y); the condition
makes sure you're not picking line A again, just written in a different form.
Now that we have the options:
A and C have a different ratio for the coefficient of x and y (2:1 and 1:2) so are not good.
Choice B is just a more complicated way to write the same line, you can see by dividing both sides by 2 and get back x+y=2.
Line D is correct.
Answer:
60%
Step-by-step explanation:
The table with proper formatting is attached below.
We have to find the probability that a randomly selected person is 41-55 in age or prefers drinking Dr. Fizz.
Total number of people = 100
People in range 41 - 55 = 30
People who prefer Dr. Fizz = 30
People in range of 41 - 55 and prefer Dr. Fizz = 0
The general formula of probability in case of OR of two events is:
P ( A or B ) = P(A) + P(B) - P( A and B)
So for the given case we can write:
P (Person is in 41-55 range OR prefer Dr. Fizz) = P (Person is in 41 - 55 range) + P(Prefers Dr. Fizz) - P(Is in 41-55 range And prefers Dr. Fizz)
P (Person is in 41-55 range OR prefer Dr. Fizz) = 30/100 + 30/100 - 0/100
= 60/100
= 60%
Thus there is a 60% probability that a randomly selected person is 41-55 in age or prefers drinking Dr. Fizz
