Answer:
A. 2(x + 9) = 8
Step-by-step explanation:
To solve this problem, we proceed as follows:
- We call "x" the number picked up by Amy:
- Amy then adds 9 to this number, so we get:
- Then, we multiply this sum by 2, so we get:
- Finally, Amy says that this number is equal to 8:
So the correct equation is
A. 2(x + 9) = 8
We can even solve it to find the number. We get:
Answer:
a) There is a 6.69% probability that a randomly selected female student abstains from alcohol.
b) If a randomly selected female student abstains from alcohol, there is a 82.87% probability that she attends a coeducational college.
Step-by-step explanation:
This is a probability problem:
We have these following probabilities:
-20.7% of a woman attending an all-women college abstaining from alcohol.
-6% of a woman attending a coeducational college abstaining from alcohol.
-4.7% of a woman attending an all-women college
- 100%-4.7% = 95.3% of a woman attending a coeducational college.
(a) What is the probability that a randomly selected female student abstains from alcohol?
is the probability of a woman attending an all-women college being chosen and abstaining from alcohol. There is a 0.047 probability of a woman attending an all-women college being chosen and a 0.207 probability that she abstain from alcohol. So:
is the probability of a woman attending a coeducational college being chosen and abstaining from alcohol. There is a 0.953 probability of a woman attending a coeducational college being chosen and a 0.06 probability that she abstain from alcohol. So:
So, the probability of a randomly selected female student abstaining from alcohol is:
There is a 6.69% probability that a randomly selected female student abstains from alcohol.
(b) If a randomly selected female student abstains from alcohol, what is the probability she attends a coedücational colege?
<em>This can be formulated as the following problem:</em>
<em>What is the probability of B happening, knowing that A has happened.</em>
Here:
<em>What is the probability of a woman attending a coeducational college, knowing that she abstains from alcohol.</em>
It can be calculated by the following formula:
Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.
We have the following probabilities:
is the probability of a woman from a coeducational college being chosen. So
is the probability of a woman abstaining from alcohol, given that she attends a coeducational college. So
is the probability of a woman abstaining from alcohol. From a),
So, the probability that a randomly selected female student attends a coeducational college, given that she abstains from alcohol is:
If a randomly selected female student abstains from alcohol, there is a 82.87% probability that she attends a coeducational college.