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NNADVOKAT [17]
3 years ago
8

The ordered pairs (1, 3), (2, 9), (3, 27), and (4, 81) represent a function. Write a rule that represents this function.

Mathematics
1 answer:
Art [367]3 years ago
4 0
Let x be the first number each pair and y is the second of each As you see 1x is 3y
And. 2x is 3*3y= 9y
3x = 3*3*3y= 27y

Last 4x =3*3*3*3y= 81y

So y = 3^x
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The test to detect the presence of respiratory syncytial virus is 97% accurate for a person who has the virus and 99% accurate f
Setler79 [48]

Answer:

The probability that a randomly selected person gets incorrect result is 2.2 × 10⁻⁴

Step-by-step explanation:

The parameters given are;

The accuracy of the test for a person who has the respiratory synctial virus = 97%

The accuracy of the test for a person who does not have the respiratory synctial virus = 99%

We have;

a = TP =

b = FP

c = FN

d = TN

a/(a + c) = 0.97

d/(d + b) = 0.99

a/(a + b) = 0.97*0.0055/(0.97*0.0055 + (1 - 0.99)*(1-0.0055))

PPV = 0.349 = 34.9%

Therefore, we have;

a/(a + c) = 0.97 and

a/(a + b)  =  0.349

0.97(a + c) =0.349(a + b)

(0.97 - 0.349)a = 0.349·b - 0.97·c

a = (0.349·b - 0.97·c)0.621

b × (1 - 0.0055) = (1 - 0.97)×(1 - 0.0055)

b = 1 - 0.97 = 0.03

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c = 1 - 0.99 = 0.01

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The probability that a randomly selected person gets incorrect result = 0.04×0.0055 = 0.00022.

5 0
3 years ago
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