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iVinArrow [24]
3 years ago
14

What is the solution to the system of equations?

Mathematics
1 answer:
tekilochka [14]3 years ago
3 0
<span>simplify third eqn -2x+5y+2x=4
5y=4
y=4/5

substitute back to 1st n 2nd eqn n solve for x n z
-4x-4-z=18 and -2x-4-2z=12
simplify -4x-z=22 and -2x-2z=16
-4x-(-x-8)=22
-3x+8=22
x=-14/3
z=-10/3
y=4/5





</span>
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Answer:

a) 0.2416

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c) 0.0253

Step-by-step explanation:

Since the result of the test should be independent of the time , then the that the test number of times that test proves correct is independent of the days the river is correct .

denoting event a A=the test proves correct and B=the river is polluted

a) the test indicates pollution when

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- the river is not polluted and the test fails

then

P(test indicates pollution)= P(A)*P(B)+ (1-P(A))*(1-P(B)) = 0.12*0.84+0.88*0.16 = 0.2416

b) according to Bayes

P(A∩B)= P(A/B)*P(B) → P(A/B)=P(A∩B)/P(B)

then

P(pollution exists/test indicates pollution)=P(A∩B)/P(B) = 0.84*0.12 / 0.2416 = 0.4172

c) since

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the rate of false positives is

P(river is polluted/test indicates no pollution) = 0.12*0.16 / 0.7584 = 0.0253

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Step-by-step explanation:

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Step-by-step explanation:

If the line is parallel to y=3x+3, that would mean that they would have the same slope of 3. Then, once you plug it back into the equation along with the point given, you would get 1=3(3)+b. Solve from there, and you get b= -8. In conclusion, your point slope formula comes out to be y=3x-8.

Hope this helps! :)

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