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Strike441 [17]
3 years ago
5

Samir works 15 hours for every 19 hours that Mitul works. If x represents the number of hours that Mitul works and y represents

the hours that Samir works, which equation correctly models this relationship?
Mathematics
2 answers:
saveliy_v [14]3 years ago
5 0
Samir works 15 out of Mitul's 19...

15/19

y=15/19x
Daniel [21]3 years ago
4 0

Answer:

y=\frac{15}{19}x

Step-by-step explanation:

Let

x-----> the number of hours that Mitul works

y-----> the hours that Samir works

by proportion

\frac{x}{y}=\frac{19}{15}\\ \\19y=15x\\ \\y=\frac{15}{19}x

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How can you use the Distributive Property to check your work when factoring? Once an expression has been factored, use the Distr
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Answer:

Once an expression has been factored, use the Distributive Property to expand the expression. The expanded expression should be the original expression.

Step-by-step explanation:

The distributive property for any binary operation Ф under * in the given set S where a, b, c ∈ S

The binary operation a * (b Ф c) = (a * b) Ф (a * c) .

The operation * distributes over the operation Ф.

Now, when factoring, suppose we have an expression ab + ac. To factor this, we have a(b + c).

To check that our answer is correct, since the expression has been factored, we then distribute the multiplication over the addition to check if the factorization is correct.

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4 years ago
Simplify 2x + x. only correct answer
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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
Anit [1.1K]

Answer:

predictive value of a positive test = 18.18%

predictive value of a negative test = 94.03%

Step-by-step explanation:

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

Specificity = \frac{TN}{TN + FP} \\0.7 = \frac{TN}{TN + FP} \\0.7TN + 0.7FP = TN\\0.7FP = 0.3 TN\\TN  = 7/3 FP

Prevalence = 10% = 0.1

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

Total number of people having the disease, T_{disease} = ?

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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