For this case, we have that the equation of the position is given by:
![s (t) = 3 - 4t ](https://tex.z-dn.net/?f=s%20%28t%29%20%3D%203%20-%204t%0A)
To find the velocity, we must derive the equation from the position.
We have then:
![s' (t) = - 4 ](https://tex.z-dn.net/?f=s%27%20%28t%29%20%3D%20-%204%0A)
Then, we evaluate the derivative for time t = 8.
We have then:
Answer:
the instantaneous velocity at t = 8 is:
Answer:
not really hehehehehe
Step-by-step explanation:
Answer:
How many candy bars did he have in total?
Step-by-step explanation:
Make your question answerable, please
Answer:
(7x + 5)m
Step-by-step explanation:
area = base * height = (35x2 + 46x +15) m²
base = (5x + 3)
Using algebraic division, find the height. SEE ATTACHMENT
height = (7x + 5)
Answer:
39.17% probability that a woman in her 60s who has a positive test actually has breast cancer
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
![P(B|A) = \frac{P(B)*P(A|B)}{P(A)}](https://tex.z-dn.net/?f=P%28B%7CA%29%20%3D%20%5Cfrac%7BP%28B%29%2AP%28A%7CB%29%7D%7BP%28A%29%7D)
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Positive test.
Event B: Having breast cancer.
3.65% of women in their 60s get breast cancer
This means that ![P(B) = 0.0365](https://tex.z-dn.net/?f=P%28B%29%20%3D%200.0365)
A mammogram can typically identify correctly 85% of cancer cases
This means that ![P(A|B) = 0.85](https://tex.z-dn.net/?f=P%28A%7CB%29%20%3D%200.85)
Probability of a positive test.
85% of 3.65% and 100-95 = 5% of 100-3.65 = 96.35%. So
![P(A) = 0.85*0.0365 + 0.05*0.9635 = 0.0792](https://tex.z-dn.net/?f=P%28A%29%20%3D%200.85%2A0.0365%20%2B%200.05%2A0.9635%20%3D%200.0792)
What is the probability that a woman in her 60s who has a positive test actually has breast cancer?
![P(B|A) = \frac{0.0365*0.85}{0.0792} = 0.3917](https://tex.z-dn.net/?f=P%28B%7CA%29%20%3D%20%5Cfrac%7B0.0365%2A0.85%7D%7B0.0792%7D%20%3D%200.3917)
39.17% probability that a woman in her 60s who has a positive test actually has breast cancer