Answer:
0.0776
Step-by-step explanation:
In order to solve this problema, Baye´s rule is used. Ii is expressed as follows:
P(A if B)=(P(B if A)*P(A))/(P(B))
Let A be women who have cancer and let B be women who have positive mammographies
So, P(B if A) would be women with breast cancer get positive mammographies
P(B if A) = 0.8
P(A) would be women with breast cancer
P(A) = 0.01
P(B) would be the women with positive mammographies. We don´t know it.
In order to find it we use law of total probability
P(B) = P(positive mammographies and cancer) + P(positive mammographies without cancer)
P(B) = 0.8*.01+0.096*0.99
P(B) = 0.103
With P(B) calculated we can complete the equation:
P(A if B)=(0.8*0.01)/0.103=0.0776
Probability is 0.0776
Answer:
False (under assumption T(2,-3) means move it right 2 units and down 3 units).
Step-by-step explanation:
The statement is false.
T(2,-3) means move the point right 2 (so plus 2 on the x-coordinate) and down 3 units (so minus 3 on the y-coordinate).
So (1,6) will become (1+2,6-3)=(3,3) after the translation.
The point (1,12) will become (1+2,12-3)=(3,9).
If the statement were "Under the translation T(2,-3) the point (1,12) will become (3,9)", then it would be true.
Or!
If the statement were "Under the translation T(2,3) the point (1,6) will become (3,9)", then it would be true.
Answer:
His book was opened at Page no.296 and Page no.297
Step-by-step explanation:
Let the page number of one page be x
Page number of page facing page no. x = x+1
We are given that the product of the facing pages was 87,912.
So, x(x+1)=87912




(x+297)(x-296)=0
x=296,-297
Since Page no. cannot be negative
So, x=296
x+1=296+1=297
So, his book was opened at Page no.296 and Page no.297
Answer:
Step-by-step explanation:
v = 40° ( being vertically opposite angles )
Your new line has to have the same slope as the green line for them to be parallel, so start off with y=-3/4x+b.
Plug in (2,4) into the new line so 2 for x and 4 for y
It should look like 4=-3/4(2)+b
-3/4x2 is -1.5
Then add 1.5 to both sides and you should get 5.5=b
Your new line is y=-3/4x+5.5 and (0,5.5) is a point on the line