Since multiplying by 0.5 is the same as dividing by 2, the problem is described by the sentence
"Half the sum of a number and 40 equals 200"
An actual two-by-two table is a tabular representation containing two rows and two columns.
- The columns consist of the tested True positive for prostate cancer and tested True Negative for prostate cancer
- The rows consist of the predicted positive screening and predicted negative values
<h3>a)</h3>
Mathematically, the set-up of the two-by-two table for this data can be computed as:
Tested True Positive for cancer True Negative Total
Predicted Positive 800 3200 4000
Predicted Negative 100 95900 96000
Total 900 99100 100000
<h3>b)</h3>
The prevalence rate of prostate cancer in this population is:


= 9 per thousand.
<h3>
c)</h3>
The calculation of the sensitivity of this screening is as follows:

where;
- TP = True positive for cancer
- PN₁ = Predicted Negative for true positive cancer
∴

= 0.889
= 88.9%
The interpretation shows that 88.9% are correctly identified to be actual positive for prostate cancer.
<h3>d)</h3>
The calculation of the specificity of this screening is as follows:

where;
- TN = True positive for cancer
- PN₂ = Predicted Negative for true negative cancer
∴

= 0.9677
= 96.77%
The interpretation shows that 96.7% of an actual negative is correctly identified as such.
<h3>
e)</h3>
The positive predicted value of the screening test is computed as:


= 0.2
= 20%
The interpretation of the positive predicted value of this screening shows that 20% that are subjected to the diagnosis of positive prostate cancer truly have the disease.
Learn more about tabular representation here:
brainly.com/question/8307968
Answer:
The answer is 12
Step-by-step explanation:
Step 1: $26.95 - $8.95 (which equals $18.00)
Step 2: 18 divided by 1.50 (which equals 12)
Step-by-step explanation:
(g+f)(x) ie option B
-2+1 = -1
1-2 = -1
4-5 = - 1