<h2>Correct question;</h2>
<h2>
![3 {}^{2} \times 3 {}^{2}](https://tex.z-dn.net/?f=3%20%7B%7D%5E%7B2%7D%20%20%5Ctimes%203%20%7B%7D%5E%7B2%7D%20)
</h2><h2>Required solution;</h2>
<h3>↠ Multiply the terms with the same base by adding their exponents</h3>
<h2>
![3 {}^{2 + 2}](https://tex.z-dn.net/?f=3%20%7B%7D%5E%7B2%20%2B%202%7D%20)
</h2><h3>↠ Add the numbers</h3>
<h2>
![3 {}^{4}](https://tex.z-dn.net/?f=3%20%7B%7D%5E%7B4%7D%20)
</h2>
After expanding the answer will be 81
![expanded \: form \: = 3 \times 3 \times 3 \times 3 = 81](https://tex.z-dn.net/?f=expanded%20%5C%3A%20form%20%5C%3A%20%20%3D%203%20%5Ctimes%203%20%5Ctimes%203%20%5Ctimes%203%20%3D%2081)
Hope it helps...
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Answer:
predictive value of a positive test = 18.18%
predictive value of a negative test = 94.03%
Step-by-step explanation:
Sensitivity = 60% = 0.6
Specificity = 70% = 0.7
Let True Positive = TP
True Negative = TN
False Negative = FN
![Sensitivity = \frac{TP}{TP + FN} \\0.6 = \frac{TP}{TP + FN} \\0.6TP + 0.6FN = TP\\0.4TP = 0.6FN\\TP = 1.5 FN](https://tex.z-dn.net/?f=Sensitivity%20%3D%20%5Cfrac%7BTP%7D%7BTP%20%2B%20FN%7D%20%5C%5C0.6%20%3D%20%5Cfrac%7BTP%7D%7BTP%20%2B%20FN%7D%20%5C%5C0.6TP%20%2B%200.6FN%20%3D%20TP%5C%5C0.4TP%20%3D%200.6FN%5C%5CTP%20%3D%201.5%20FN)
![Specificity = \frac{TN}{TN + FP} \\0.7 = \frac{TN}{TN + FP} \\0.7TN + 0.7FP = TN\\0.7FP = 0.3 TN\\TN = 7/3 FP](https://tex.z-dn.net/?f=Specificity%20%3D%20%5Cfrac%7BTN%7D%7BTN%20%2B%20FP%7D%20%5C%5C0.7%20%3D%20%5Cfrac%7BTN%7D%7BTN%20%2B%20FP%7D%20%5C%5C0.7TN%20%2B%200.7FP%20%3D%20TN%5C%5C0.7FP%20%3D%200.3%20TN%5C%5CTN%20%20%3D%207%2F3%20FP)
Prevalence = 10% = 0.1
Three hundred people are screened, ![T_{total} = 300](https://tex.z-dn.net/?f=T_%7Btotal%7D%20%3D%20300)
Total number of people having the disease, ![T_{disease} = ?](https://tex.z-dn.net/?f=T_%7Bdisease%7D%20%3D%20%3F)
![Prevalence = \frac{T_{disease} }{T_{total} } \\0.1 = \frac{T_{disease} }{300 }\\T_{disease} = 30](https://tex.z-dn.net/?f=Prevalence%20%3D%20%5Cfrac%7BT_%7Bdisease%7D%20%7D%7BT_%7Btotal%7D%20%7D%20%5C%5C0.1%20%3D%20%20%5Cfrac%7BT_%7Bdisease%7D%20%7D%7B300%20%7D%5C%5CT_%7Bdisease%7D%20%3D%2030)
![T_{disease} = TP + FN\\30 = TP + FN](https://tex.z-dn.net/?f=T_%7Bdisease%7D%20%3D%20TP%20%2B%20FN%5C%5C30%20%3D%20TP%20%2B%20FN)
But TP = 1.5 FN
30 = 1.5 FN + FN
30 = 2.5 FN
FN = 30/2.5
FN = 12
TP = 1.5 FN = 1.5 * 12
TP = 18
![FP + TN = T_{total} - T_{disease} \\FP + TN = 300 - 30\\FP + TN = 270\\FP + \frac{7}{3} FP = 270\\\frac{10}{3} FP = 270\\FP = 27 * 3\\FP = 81](https://tex.z-dn.net/?f=FP%20%2B%20TN%20%3D%20T_%7Btotal%7D%20-%20T_%7Bdisease%7D%20%5C%5CFP%20%2B%20TN%20%3D%20300%20-%2030%5C%5CFP%20%2B%20TN%20%3D%20270%5C%5CFP%20%2B%20%5Cfrac%7B7%7D%7B3%7D%20FP%20%3D%20270%5C%5C%5Cfrac%7B10%7D%7B3%7D%20FP%20%3D%20270%5C%5CFP%20%3D%2027%20%2A%203%5C%5CFP%20%3D%2081)
81 + TN = 270
TN = 189
To calculate the Predictive value of positive test (PPT)
![PPT = \frac{TP}{TP + FP} * 100\\PPT = \frac{18}{18+81} * 100\\PPT = \frac{18}{99} * 100\\PPT = 18.18 \%](https://tex.z-dn.net/?f=PPT%20%3D%20%5Cfrac%7BTP%7D%7BTP%20%2B%20FP%7D%20%2A%20100%5C%5CPPT%20%3D%20%5Cfrac%7B18%7D%7B18%2B81%7D%20%2A%20100%5C%5CPPT%20%3D%20%5Cfrac%7B18%7D%7B99%7D%20%2A%20100%5C%5CPPT%20%3D%2018.18%20%5C%25)
To calculate the Predictive value of negative test (PNT)
![PPT = \frac{TN}{FN + TN} * 100\\PPT = \frac{189}{189+12} * 100\\PPT = \frac{189}{201} * 100\\PPT = 94.03 \%](https://tex.z-dn.net/?f=PPT%20%3D%20%5Cfrac%7BTN%7D%7BFN%20%2B%20TN%7D%20%2A%20100%5C%5CPPT%20%3D%20%5Cfrac%7B189%7D%7B189%2B12%7D%20%2A%20100%5C%5CPPT%20%3D%20%5Cfrac%7B189%7D%7B201%7D%20%2A%20100%5C%5CPPT%20%3D%2094.03%20%5C%25)
The formula for the total sum of the inner angles of the polygon is
Sn= (n-2) 180°
1) S6= (6-2) 180 = 4*180 = 720° In the hexagon all angles are equal
α= S6/6= 720/6= 120°
2) In each polygon the sum of the external angles is 360°
3) S5= (5-2) 180 = 540° than we can add up all angles
x+131+108+107+110=540 => x= 540-456= 84°
4) α = 360/5=72°
Good luck!!!
Answer:
The answer is the 3.72 and the 3.66
Answer:
18/30
Step-by-step explanation:
He has been out of town 18 out of the 30 days. You can simplify this to 6/10.