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slavikrds [6]
2 years ago
15

Suppose two drugs are routinely used for treatment of a particular kidney disorder. Drug 1 is known to cure the disease 85% of t

he time and costs $90. Drug 2 is known to cure the disease 70% of the time and costs $65. The two drugs work independent of each other (that is, administration of one has no effect on the efficacy of the other). The two treatment plans are as follows:
Plan
a. Treatment with Drug 1—if not effective, treatment with Drug 2.
Plan
b. Treatment with Drug 2—if not effective, treatment with Drug 1.

Which statement is most correct in this situation?

a.Based on the overall probability of a cure, Plan A should be selected over Plan
b.
b.Based on the overall probability of a cure, Plan B should be selected over Plan
a.
c.Based on the overall cost of treatment, Plan A should be selected over Plan
b.
d.Based on the overall cost of treatment, Plan B should be selected over Plan
a.
e.Based on the probability of a cure and the cost of treatment, both plans are equivalent, so either can be selected.
Mathematics
2 answers:
MrRissso [65]2 years ago
8 0

Answer:

<h2>Based on the overall probability of a cure, Plan B should be selected over Plan</h2>

Step-by-step explanation:

According to the problem, Drug 1 has the higher probability to cure disease, with a 85%.

Knowing this, Plan B is the best option, because implies using Drug 2 if Drug 1 doesn't work, that means this plan used Drug 1 in first place, which has the higher probability to cure.

In other words, it would be better if they use Drug 1 first, because if cost $25, but it has higher chances to cure. Because, if the use Drug 2 first, there're chances to fail, and that would imply higher expenses.

Therefore, the right answer is <em>"Based on the overall probability of a cure, Plan B should be selected over Plan"</em>

marysya [2.9K]2 years ago
4 0
The correct answer for the question that is being presented above is this one: "e.Based on the probability of a cure and the cost of treatment, both plans are equivalent, so either can be selected. <span>Suppose two drugs are routinely used for treatment of a particular kidney disorder. Drug 1 is known to cure the disease 85% of the time and costs $90.</span>
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A process engineer is implementing a quality assurance system on a breakfast cereal production line. A new sensor is installed o
nataly862011 [7]

Answer:

0.2%

Step-by-step explanation:

The given parameters are;

The percentage of product within the correct range = 95%

The percentage of the times the sensor reject boxes of incorrect weight = 98%

The percentage of the times the company reject boxes with correct weight = 1%

\begin{array}{cccc}&P&N&T\\P&TP&0.9&90\\N&FP&9.8&10\end{array}

We have, FN = 0.9, TN = 9.8, TP = 90 - 0.9 = 89.1, FP = 10 - 9.8 = 0.2

FNR = FN/(FN + TP) = 0.9/(0.9 + 89.1) = 0.01

FPR = 0.2/(0.2 + 9.8) = 0.02

TPR = 89.1/(89.1 + 0.9) = 0.99

TNR = 9.8/(9.8 + 0.2) = 0.98

P(C/A) = TPR × P(C)/((TPR × P(C) + FPR×(1 - P(C)))

Where;

P(C/A) = The probability that a correct weight package is accepted

∴ P(C/A) = 0.99*0.9/(0.99*0.9 + 0.02*0.1) ≈ 0.99776

The probability that a correctly weighed package is rejected, P(C/R), is given as follows;

P(C/R) = 1 - P(C/A)

∴ P(C/R) ≈ 1 - 0.99776 = 0.00224 ≈ 0.2%

The probability that a correctly weighed package is rejected, P(C/R) ≈ 0.2%

5 0
2 years ago
Jake made a total of 7 copies at a copy shop, with some being black-and-white copies and some being color copies. Black-and-whit
Arada [10]
Jake spent a total of 70 cents.
b = black-and-white = 8 cents
c = color = 15 cents

70 = 8b + 15c

he made a total of 7 copies
b + c = 7

system of equation:
70 = 8b + 15c
b + c = 7

--------------------------

b + c = 7
b + c (-c) = 7 (-c)
b = 7 - c

plug in 7 - c for b

70 = 8(7 - c) + 15c
Distribute the 8 to both 7 and - c (distributive property)

70 = 56 - 8c + 15c
Simplify like terms

70 = 56 - 8c + 15c
70 = 56 + 7c

Isolate the c, do the opposite of PEMDAS: Subtract 56 from both sides

70 (-56) = 56 (-56) + 7c
14 = 7c

divide 7 from both sides to isolate the c

14 = 7c
14/7 = 7c/7
 c = 14/7
 c = 2

c = 2
---------------

Now that you know what c equals (c = 2), plug in 2 for c in one of the equations.
b + c = 7
c = 2
<em>b + (2) = 7
</em><em />Find b by isolating it. subtract 2 from both sides
b + 2 = 7
b + 2 (-2) = 7 (-2)
b = 7 - 2
b = 5

Jake made 5 black-and-white copies, and 2 color copies

hope this helps
8 0
2 years ago
Read 2 more answers
The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x − 4)3 − 7. The point (0, 0) on the graph
tensa zangetsu [6.8K]

Answer:

The point (0, 0) in the graph of f(x) corresponds to the point (4, -7) in the graph of g(x)

Step-by-step explanation:

Notice that when we start with the function f(x)=x^3, and then transform it into the function: g(x)=(x-4)^3-7

what we have done is to translate the graph of the function horizontally 4 units to the right (via subtracting 4 from the variable x), and 7 units vertically down (via subtracting 7 to the full functional expression).

Therefore, the point (0, 0) in the first function, will now appeared translated 4 units to the right (from x = 0 to x = 4) and 7 units down (from y = 0 to y = -7).

then the point (0, 0) after the translation becomes: (4, -7)

7 0
2 years ago
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N 2004, the General Social Survey (which uses a method similar to simple random sampling) asked, "Do you consider yourself athle
zmey [24]

<u>Answer-</u>

The standard error of the confidence interval is 0.63%

<u>Solution-</u>

Given,

n = 2373 (sample size)

x = 255 (number of people who bought)

The mean of the sample M will be,

M=\frac{x}{n} =\frac{255}{2373} =0.1075

Then the standard error SE will be,

SE=\sqrt{\frac{M\times (1-M)}{n}}

SE=\sqrt{\frac{0.1075\times (1-0.1075)}{2373}}=\sqrt{\frac{0.0959}{2373}}=0.0063=0.63\%

Therefore, the standard error of the confidence interval is 0.63%




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2 years ago
Which function represents the cost of a pizza with n Toppings
alukav5142 [94]

Correct answer is B... You can plug in values for n.  Plug in 1 for n and the out put is 12.  Plug in 2 for n and the output is 13.5

7 0
2 years ago
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