Answer:
a) 0.71
b) 0.06
Step-by-step explanation:
We solve using Baye's Theorem
It is estimated that 88% of senior citizens suffer from sleep disorders and 7% suffer from anxiety. Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.
We have Two events
A and B
Events A = 88% of senior citizens suffer from sleep disorders
P(A) = 0.88
Event B = 7% suffer from anxiety
P(B) = 0.07
Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.
P(A and B) = 0.05
a)Given that a senior citizen suffers from anxiety, what is the probability that he or she also suffers from a sleep disorder? Round your answer to the nearest hundredth.
This is calculated as:
P(A and B)/P(B)
= 0.05/0.07
= 0.7142857143
Approximately = 0.71
B) Find the probability that a senior citizen suffers from anxiety, given that he or she has a sleep disorder. Round your answer to the nearest hundredth.
This is calculated as:
P(A and B)/P(A)
= 0.05/0.88
= 0.0568181818
Approximately = 0.06
Answer:
76/15
Step-by-step explanation:
Add the drug combinations together
Drug A + B + C=2/5 + 5/3 + 9/3
The L.C.M of the denominators is 15
=6+25+45/15
=76/15
Or
=5 1/15
Allen needs to prepare 76/15 compound for the patient
Answer: 
================================================
Work Shown:
Part 1

Part 2

-------------------------------
Explanations:
- There are quite a bit of steps. I decided to break things into two parts.
- The goal is to get x all by itself on its own side, which is why I subtracted (x-n)/n from both sides in part 1, step 2. I also subtracted p from both sides.
- Afterward, I gave each fraction the LCD mn. I multiplied top and bottom of the first fraction by n/n. I did a similar operation to the second fraction, but with m instead.
- From there, we distribute and simplify. The mn terms cancel on the left side numerator (second step of part 2).
- The n≠m is there to prevent the denominator (n-m) from being zero. We cannot divide by zero.
- If the formulas don't properly display, then you might have to refresh the page.
I believe the answer is
<h2>D.</h2>
<u>''Twice as many students will take art as will take choir''</u>
<u />
<h3>There are 80 students taking art, and 40 students taking choir. </h3><h3>Art is twice the size of choir.</h3><h3 />
(I'm giving away free points in my question)
I hope this helped! +*♡
F(g(3))
f(4 * 3^2 + 9)
f(45)
3 * 45 - 1
134