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
34 is larger than 3, so 34.653
First see you can factor out 4. What is left is x^2 + 6x - 16.
That can be factored as (x+8)(x-2) so the total factorization is
4(x+8)(x-2)
Answer:
We Them holler boys holler if you need and something don't holler if you need a chip on her shoulder or a high-end with a loaded gun will be out that screen door no shirt on leaving two black marks down the one-lane road yeah we yeah we yeah wheel am I
Answer:
Area of tissue paper is 384 square inches.
Step-by-step explanation:
Given:
Length of box = 16 inches.
Width of the box = 12 inches.
We need to find find the area of the tissue paper.
But It is given that the area of the tissue paper sheet is based on twice the length times the width of the box.
Hence Framing in equation form we get;
Area of tissue paper = 
Hence Substituting the given values we get;
Area of tissue paper = 
Hence Area of tissue paper is 384 square inches.