Answer:
-7/5
Step-by-step explanation:
5/7
= -7/5
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
83 divided by 3.
Exact Form: 83/3
Decimal Form: 27.66666666. . .
Mixed Number Form: 27 2/3
1500 total surveys sent
Returned: 245 + 173 + 185 + 92 = 695
1500-695 = 805
There are 4 pairs of overlapping triangles that I can see that are congruent. Two pairs share vertically opposite angles.
One more pair have right angles at the bottom of the rectangle.
One other pair have right angles at the top of the rectangle.
