That answer is correct, 9x + 4 -5y. Only like terms are the x terms and we add 3 and 6 together.
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:
46
Step-by-step explanation:
There is an open + in the middle. It does not have any brackets around it. Therefore you do it at the very last.
Left side of the plus sign.
[16 ÷ (2 + 3*2)] Do the multiplication inside the parenthesis ( 2*3) first.
= [16 ÷ (2 + 6)] Add inside the parenthesis.
= [16 ÷ 8 ] Do the division
= 2
Right side of the open plus sign
[4 * (36 - 25)] Do the subtraction first.
[4 * 11 ] Do the multiplication
44
Now combine both right and left side.
2 + 44
46
The answer is 46.
1/12 if each Question is A-D
