Answer:
65
Step-by-step explanation:
180-115=65 bc all the lines are parallel.
Answers:
So the solution is (x,y) = (4, -1)
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Work Shown:
6x + 7y = 17
6x + 7( y ) = 17
6x + 7( -3x+11 ) = 17 ... replace every copy of y with -3x+11
6x - 21x + 77 = 17
-15x = 17-77
-15x = -60
x = -60/(-15)
x = 4
We'll use this x value to find y
y = -3x+11
y = -3(4)+11 ... replace x with 4
y = -12+11
y = -1
We have x = 4 and y = -1 pair up together to give us the solution (x,y) = (4, -1)
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To check the solution, we plug x = 4 and y = -1 into each equation
Plugging the values into the first equation leads to...
y = -3x+11
-1 = -3(4)+11
-1 = -1
This is effectively already done in the last part of the previous section. But it doesn't hurt to verify like this regardless.
We'll need to verify the second equation as well.
6x + 7y = 17
6(4) + 7(-1) = 17
24 - 7 = 17
17 = 17
We get a true equation, so the solution is confirmed with both equations. Overall, the solution to the system of equations is confirmed. This system is independent and consistent.
Answer:
Tests is 100% Accurate, so by using the formula of random variable probability.
Step-by-step explanation:
Total number of people = 10
Sample space = p(A) = 10
Number of people that have flu = n(s) = 4
Pick random 3 persons, the possibility that they have flue is n(A) = ?
Let X is the random variable, consisting of number of positive flu test,
Tests is 100% Accurate, so by using the formula of random variable probability, we get
P(X) = n (A) / n(S)
P(X) = ¾, is the probability of having positive flu test
I think it is 5.64 I hope this helps
