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gulaghasi [49]
2 years ago
14

For a given show, a theater charges $80 for a premium ticket and $30 for a regular ticket. If a total of n tickets were sold and

p of them were premium tickets, what is the total amount, in dollars, from the sale of regular tickets and premium tickets?
Please explain the process.
Mathematics
1 answer:
netineya [11]2 years ago
8 0

Answer:

50p + 30n

Step-by-step explanation:

Cost of each premium ticket = $80.

Cost of each regular ticket = $30

Total tickets sold = n

We are told that p tickets were sold. Thus;

Total tickets sold is; p + (n - p)

Thus total amount generated is;

T = 80p + 30(n - p)

T = 50p + 30n

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How do I divide fractions with a whole number
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A new screening test for Lyme disease is developed for use in the general population. The sensitivity and specificity of the new
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Answer:

predictive value of a positive test = 18.18%

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Sensitivity = 60% = 0.6

Specificity = 70% = 0.7

Let True Positive = TP

True Negative = TN

False Negative = FN

Sensitivity = \frac{TP}{TP + FN} \\0.6 = \frac{TP}{TP + FN} \\0.6TP + 0.6FN = TP\\0.4TP = 0.6FN\\TP = 1.5 FN

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Three hundred people are screened, T_{total} = 300

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Prevalence = \frac{T_{disease} }{T_{total} } \\0.1 =  \frac{T_{disease} }{300 }\\T_{disease} = 30

T_{disease} = TP + FN\\30 = TP + FN

But TP = 1.5 FN

30 = 1.5 FN + FN

30 = 2.5 FN

FN = 30/2.5

FN = 12

TP = 1.5 FN = 1.5 * 12

TP = 18

FP + TN = T_{total} - T_{disease} \\FP + TN = 300 - 30\\FP + TN = 270\\FP + \frac{7}{3} FP = 270\\\frac{10}{3} FP = 270\\FP = 27 * 3\\FP = 81

81 + TN = 270

TN = 189

To calculate the Predictive value of positive test (PPT)

PPT = \frac{TP}{TP + FP} * 100\\PPT = \frac{18}{18+81} * 100\\PPT = \frac{18}{99} * 100\\PPT = 18.18 \%

To calculate the Predictive value of negative test (PNT)

PPT = \frac{TN}{FN + TN} * 100\\PPT = \frac{189}{189+12} * 100\\PPT = \frac{189}{201} * 100\\PPT = 94.03 \%

7 0
3 years ago
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Answer:

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we know that

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(x1,y1) is a ordered pair of the line

Let

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In this problem we have

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amm1812

Answer:

D. decreases the demand for money.

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