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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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Vika [28.1K]

Answer:

(16-9)

Step-by-step explanation:

that is the answer because 16-9 is 7

8 0
2 years ago
-3^(-x)-6=-3^x+10<br><br>Solve the equation below for x by graphing plz
vitfil [10]
To graph it, just graph y=-3^{-x}-6 and y=-3^x+10 and see where they intersect

I would like to solve it by using math and not graphing
if you don't want to see the math, just don't scroll down
the graphical meathod is above, first line, just read it

hmm
multiply both sides by -1
3^{-x}+6=3^x-10
multiply both sides by 3^x
3^0+6(3^x)=3^{2x}-10(3^x)
1+6(3^x)=3^{2x}-10(3^x)
minus 1 from both sides and minus 6(3^x) from both sides
0=3^{2x}-16(3^x)-1
use u subsitution
u=3^x
we can rewrite it as
0=u^2-16u-1
now factor
I mean use quadratic formula
for ax^2+bx+c=0 x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}
so for 0=u^2-16u-1, a=1, b=-16, c=-1
u=\frac{-(-16)+/-\sqrt{(-16)^2-4(1)(-1)}{2(1)}
u=8+/-\sqrt{65}
remember that u=3^x so u>0
if we have u=8+√65, it's fine, but u=8-√65 is negative and not allowed
so therfor
u=8+\sqrt{65}=3^x
8+\sqrt{65}=3^x
if you take the log base 3 of both sides you get
log_3(8+\sqrt{65})=x
if you use ln then
ln(8+\sqrt{65})=xln(3)
then
\frac{ln(8+\sqrt{65})}{ln(3)}=x

8 0
2 years ago
Read 2 more answers
For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 52
Ludmilka [50]

Answer:

the probability that a sample of the 35 exams will have a mean score of 518 or more is <em> 0.934 </em>or<em> 93.4%</em>.

Step-by-step explanation:

This is s z-test because we have been given a sample that is large   (greater than 30) and also a standard deviation. The z-test compares sample results and normal distributions. Therefore, the z-statistic is:

(520 - 518) / (180/√35)

= 0.0657

Therefore, the probability is:

P(X ≥ 0.0657) = 1 - P(X < 0.0657)

where

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Thus,

P(X ≥ 0.0657) = 1 - (520 - 518) / (180/√35)

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Therefore,  the probability that a sample of the 35 exams will have a mean score of 518 or more is <em>0.934 or 93.4%</em>.

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tangare [24]

Answer:

As a square and four semi circles

Step-by-step explanation:

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DedPeter [7]
One square can be a 3 by 3 square, meaning each side is 3 units.The area for this would be 9.

Another one is the square can be a 9 by 9 square, meaning each side is 9 units. The area for this would be 81.

3 0
1 year ago
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