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Kamila [148]
3 years ago
6

Help Find the value!!!!

Mathematics
1 answer:
Vsevolod [243]3 years ago
4 0

Answer: (3,3)

To begin, I turned x into a value of 1 by multiplying it by 3;

f(3) = 1/3(3) + 2

f(3) = 1 + 2

It would then become quite clear what the answer could then be..

f(3) = 3

meaning when x = 3, y = 3

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A recent nationwide study investigated the value of the prostate-specific antigen (PSA) blood test for the detection of prostate
MaRussiya [10]

Answer:

Step-by-step explanation:

Remember:

Any medical test used to detect certain sicknesses have several probabilities associated with their results.

Positive (test is +) ⇒ P(+)

True positive (test is + and the patient is sick) ⇒ P(+ ∩ S)

False-positive (test is + but the patient is healthy) ⇒P(+ ∩ H)

Negative (test is -) ⇒ P(-)

True negative (test is - and the patient is healthy) ⇒ P(- ∩ H)

False-negative (test is - but the patient is sick) ⇒ P(- ∩ S)

You can arrange them in a contingency table as:

Probabilities  Positive ; Negative

           Sick     + ∩ S    ;    - ∩ S        S          

      Healthy    + ∩ H    ;   - ∩ H        H

                            +              -            1

The sensibility of the test is defined as the capacity of the test to detect the sickness in sick patients (true positive rate).

⇒ P(+/S) = <u>P(+ ∩ S)</u>

                    P(S)

The specificity of the test is the capacity of the test to have a negative result when the patients are truly healthy (true negative rate)

⇒ P(-/H) = <u>P(- ∩ H)</u>

                    P(H)

1) You are studying the value of the prostate-specific antigen (PSA) blood test for the detection of prostate cancer on men of 50 years of age and older.

Total 100000 men

686 men tested positive

281 of the men that tested positive had cancer

45 men that tested negative had cancer

Total - positive cases: 100000 - 686 = 99314 tested negative

              ;  Positive   ;   Negative   ;   Total

Sick        ;     281       ;      45           ;    326

Healthy  ;     405      ;    99269      ;   99674

Total       ;    686       ;    99314       ;  100000  

2)

Sensitivity of the test is

P(+/S) = <u>P(+ ∩ S) </u>=  <u>0.00281 </u>= 0.86

                P(S)        0.00326

Where:

P(+ ∩ S) = 281/100000 = 0.00281

P(S) = 326/100000 = 0.00326

The test has an 86% probability of detecting PSA in sick patients.

3)

Specificity of the test is

P(-/H) = <u>P(- ∩ H) </u>= <u>0.99269 </u>= 0.995

                P(H)       0.99674

Where:

P(- ∩ H)= 99269/100000= 0.99269

P(H)= 99674/100000= 0.99674

The test has a 99.5% probability of not detecting PSA in healthy patients.

4)

Positive predictive value (PPV)

It's defined as the probability of being sick when the test is positive:

P(S/+)= <u>P(S ∩ +) </u>= <u>0.00281 </u>= 0.04

                P(+)       0.0686

Where

P(+)= 686/100000= 0.0686

There is a 4% probability of having cancer if the test is positive.

5)

Negative predictive value (NPV)

P(H/-)= <u>P(H ∩ -) </u>= <u>0.99269 =</u> 0.999

               P(-)        0.99314

Where:

P(-)= 99314/100000= 0.99314

There is a 99.9% probability of being healthy if the test is negative.

6 to 10 are all examples of medical tests.

I hope this helps!

7 0
3 years ago
1/2*(6*1+7)+11 show the result
fomenos
Well I got 17.5
You would start with                              6x1=6
Then you would add 7:                         6+7=13
Next you would multiply 13 by (1/2):    13(1/2)=6.5
Finally you would add 11 to 6.5:           6.5+11= 17.5
3 0
3 years ago
The point P(5, −1) is rotated 90 degrees clockwise around the origin.
azamat

Answer:

C

Step-by-step explanation:

:)

3 0
2 years ago
Read 2 more answers
Find the true balance:
lapo4ka [179]

Answer:

D. $455.80

Step-by-step explanation:

True Balance = Bank Statement - Outstanding Checks

= $592.53 - ($49.80 + $86.93)

= $455.80

5 0
3 years ago
How many people ordered beer?<br><br> *it is not 15
olga55 [171]

Answer:

18 people ordered beer.

Step-by-step explanation:

15 + 3 = 18 people

7 0
3 years ago
Read 2 more answers
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