Answer:
Therefore the age of paint is 8915.78 years.
Step-by-step explanation:
Given that, the paint contain 34 % of the original carbon-14.
The exponential decay model for carbon-14 is
A= Remaining amount of carbon.
= initial amount of carbon.
Here A= 34% of 
Taking ln both sides
Therefore the age of paint is 8915.78 years.
Set Events:
T=tests positive~T=tests negativeP=subject is pregnant~P=subject is not pregnant
We are givenP(T n ~P)=0.02P(~T n P)=0.03P(P)=0.7
recall by definition of conditional probabilityP(A|B)=P(A n B)/P(B)
Need to find P(P|~T)
First step: make a contingency diagram of probabilities (intersection, n)
P ~P sum
T 0.67 0.02 0.69=P(T)
~T 0.03 0.28 0.31=P(~T)
sum 0.70 0.30 1.00
=P(P) =P(~P)
therefore
P(P|~T)=P(P n ~T)/P(~T)=0.03/0.31 [ both read off the contingency table ]
=0.0968
You first put them all in order from least to greatest. Now, since 30 and 34 seem to be in the middle, write the number in between them: 30, 31, 32, 33, 34.
And you get your answer as 32. Hope this helped ;)
There is normally a shape or something to these problems
lol rofl
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