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
1250 × 6.5% is 81.25 add that to 1250 and get 1331.25.
Answer:
120° or 300°
Step-by-step explanation:
Given,
Slope (m) = -√3
Inclination (α) = ?
Now,
We know,
m = tanα
or, -√3 = tanα
or, tan(120° or 300°) = tanα
∴ α = 120° or 300°
∴ Inclination is 120° or 300°
Answer:
Step 1: Add 3y to both sides.
2x−3y+3y=−8+3y
2x=3y−8
Step 2: Divide both sides by 2.
2x
2
=
3y−8
2
x=
3
2
y−4
Answer:
x=
3/2 y -4
x+3y=14
x+3y=14
Step 1: Add -3y to both sides.
x+3y+−3y=14+−3y
x=−3y+14
Answer:
x=−3y+14
Step-by-step explanation:
The arc length, radius and the included angle are related as
where 
is in radians.
The radius 
is given by
Correct choice is (B).
