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faltersainse [42]
2 years ago
11

How can X - 2/3 = 5/6

Mathematics
1 answer:
Doss [256]2 years ago
7 0

Answer:

A.)

Step-by-step explanation:

You need to add 2/3 to both sides

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The dimensions of the pool are 67ft in length and 32 feet in width

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On any given day, the probability that a large local river is polluted by carbon tetrachloride is 0.12. Each day, a test is cond
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Answer:

a) 0.2416

b) 0.4172

c) 0.0253

Step-by-step explanation:

Since the result of the test should be independent of the time , then the that the test number of times that test proves correct is independent of the days the river is correct .

denoting event a A=the test proves correct and B=the river is polluted

a) the test indicates pollution when

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- the river is not polluted and the test fails

then

P(test indicates pollution)= P(A)*P(B)+ (1-P(A))*(1-P(B)) = 0.12*0.84+0.88*0.16 = 0.2416

b) according to Bayes

P(A∩B)= P(A/B)*P(B) → P(A/B)=P(A∩B)/P(B)

then

P(pollution exists/test indicates pollution)=P(A∩B)/P(B) = 0.84*0.12 / 0.2416 = 0.4172

c) since

P(test indicates no pollution)= P(A)*(1-P(B))+ (1-P(A))*P(B) = 0.84*0.88+  0.16*0.12 = 0.7584

the rate of false positives is

P(river is polluted/test indicates no pollution) = 0.12*0.16 / 0.7584 = 0.0253

4 0
3 years ago
I need help my grade depends on your answer!!
Fynjy0 [20]

Answer:

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Step-by-step explanation:

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Answer:

a = 28 / √2

Step-by-step explanation:

Isosceles triangle therefor a = b

use pythagorean theorem

a² + a² = c²

2a² = 28²

a² = 28² / 2

Take the square root of both sides

a = 28 / √2

4 0
2 years ago
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Answer:

1/8

Step-by-step explanation:

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