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Julli [10]
2 years ago
8

Use Bayes' rule to find the indicated probability. The incidence of a certain disease on the island of Tukow is 4%. A new test h

as been developed to diagnose the disease. Using this test, 91% of those who have the disease test positive while 4% of those who do not have the disease test positive (false positive). If a person tests positive, what is the probability that he or she actually has the disease?
Mathematics
1 answer:
lina2011 [118]2 years ago
7 0
These are the events in the question above:

<span>D - has disease 
</span>
<span>H - healthy (does not have disease) 
</span>
<span>P - tests positive </span>

<span>It is the probability that a person has the disease AND tests positive divided by the probability that the person tests positive.
</span>
Sick, + [.04*.91] = .0364 

<span>Sick, - [.04*.09] = .0036 </span>

Healthy, + [.96*.04] = 0.0384

<span>Healthy, - [.96*.96] = .9216 

</span>
.0364 / (.0364 + .0.0384) = 0.487
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If CDE ~ GDF, find ED
qaws [65]

Answer:

10

Step-by-step explanation:

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7 0
2 years ago
Point P is at the origin. Then Point P is moved 4 units to the right and 5 units up.
taurus [48]

Answer:

Step-by-step explanation:

The origin (x,y) is (0,0)

If its moved four units right you must add 4 to the x coordinate giving you (4,0)

Then it is moved up by 5, so you must add 5 to the y coordinate giving you

(4,5)

8 0
2 years ago
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One side of a right triangle is known to be 12 cm long and the opposite angle is measured as 30°, with a possible error of ±1°.
vladimir1956 [14]

Answer:

estimated error=±0.725

Step-by-step explanation:

Side of the triangle= 12cm

Opposite of triangle x= 30

h= hypotenose side

Error= =±1

From trigonometry

Sin(x)=opposite/hypotenose

hypotenose=opposite/sin(x)

h=12/sin(x)

h=12Csc(x)

dh=-12Csc(x)Cot(x) dx...............eqn(1)

dx is the possible error in angle measurements

So we need to convert to radius

dx=±1°× (π/180)

=±1°(π/180)

Substitute x and dx into equation (1)

dh= - 12Csc30°Cot30°×[±(π/180)]

= -12(2)(√3)(±(π/180)

==±0.725

Therefore, estimated error=±0.725

3 0
2 years ago
Lelia says that 75% of a number will always be greater than 50% of a number. Complete the inequality to support Lelia's claim an
worty [1.4K]

Answer:

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Leila says that 75% of a number will always be greater than 50% of a number. The inequality that represents this statement is the following:

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Given that we found a case in which 75% of a number is not greater than 50% of a number, we can conclude that Leila's claim is incorrect.

3 0
2 years ago
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As more pure acid is added, the concentration of acid approaches 0.

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2 years ago
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