Answer:
58 = <1
Step-by-step explanation:
The sum of the opposite interior angles of a triangle is equal to the exterior angle
101 = 43+ <1
Subtract 43 from each side
101- 43 = <1
58 = <1
Answer:
8 and -8
Step-by-step explanation:
0-8= -8
0+8= 8
Both 8 jumps from 0
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
Answer:
y=3/4x+-3
Step-by-step explanation:
first use rise over run to find the slope. go up 3 and over four making the slope 3/4. nxet locate the y-intercept which is clearly at -3. now just substitute the values into the equation y=mx+b
If there are 3 bad guys and 3 good guys then they don't out number the good guys.
