Answer:
D) y = 2x − 8
Step-by-step explanation:
Use the Distributive Property to convert from <em>Point-Slope</em><em> </em><em>Form</em><em> </em>to <em>Slope-Intercept</em><em> </em><em>Form</em>:
y − 4 = 2(x − 6)
y − 4 = 2x − 12
+ 4 + 4
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Answer:
21.99 or just round to 22
Step-by-step explanation:
Radius is 3.5
Diameter is 7
Circumference is 21.99
Answer:
Option 2 is correlation without causation
Option 1 and 3 is correlation with causation
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Answer:
a) 0.2416
b) 0.4172
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
- the river is polluted and the test is correct
- 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
P(test indicates no pollution)= P(A)*(1-P(B))+ (1-P(A))*P(B) = 0.84*0.88+ 0.16*0.12 = 0.7584
the rate of false positives is
P(river is polluted/test indicates no pollution) = 0.12*0.16 / 0.7584 = 0.0253
prettStep-by-step explanation:
