PLEASE HELP I GIVE BRAINLIEST AND POINTS! I GRINDED 4 THESE POINTS SO PLZ DONT PUT LINKS
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Answer:
Pr(3worker's comp cases and 4 Medicare patients) = 0.37879
Step-by-step explanation:
Number of worker’s comp cases = 6
Number of Medicare patients = 6
Total number of people = 6 + 6 = 12
Total number of ways of selecting 7 people from 12 people = 12C7
Total number of ways of selecting 7 people from 12 people =
Total number of ways of selecting 7 people from 12 people = 792 ways
Number of ways of selecting 3 worker's comp cases = 6C3
Number of ways of selecting 3 worker's comp cases =
Number of ways of selecting 3 worker's comp cases = 20 ways
Number of ways of selecting 4 Medicare patients= 6C4
Number of ways of selecting 4 Medicare patients =
Number of ways of selecting 4 Medicare patients = 15 ways
Pr(3worker's comp cases and 4 Medicare patients) = (15*20)/792
Pr(3worker's comp cases and 4 Medicare patients) = 300/792
Pr(3worker's comp cases and 4 Medicare patients) = 0.37879
Whenever you face the problem that deals with maxima or minima you should keep in mind that minima/maxima of a function is always a point where it's derivative is equal to zero.
To solve your problem we first need to find an equation of net benefits. Net benefits are expressed as a difference between total benefits and total cost. We can denote this function with B(y).
B(y)=b-c
B(y)=100y-18y²
Now that we have a net benefits function we need find it's derivate with respect to y.
Now we must find at which point this function is equal to zero.
0=100-36y
36y=100
y=2.8
Now that we know at which point our function reaches maxima we just plug that number back into our equation for net benefits and we get our answer.
B(2.8)=100(2.8)-18(2.8)²=138.88≈139.
One thing that always helps is to have your function graphed. It will give you a good insight into how your function behaves and allow you to identify minima/maxima points.
To solve your problem we first need to find an equation of net benefits. Net benefits are expressed as a difference between total benefits and total cost. We can denote this function with B(y).
B(y)=b-c
B(y)=100y-18y²
Now that we have a net benefits function we need find it's derivate with respect to y.
Now we must find at which point this function is equal to zero.
0=100-36y
36y=100
y=2.8
Now that we know at which point our function reaches maxima we just plug that number back into our equation for net benefits and we get our answer.
B(2.8)=100(2.8)-18(2.8)²=138.88≈139.
One thing that always helps is to have your function graphed. It will give you a good insight into how your function behaves and allow you to identify minima/maxima points.