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2 years ago

Which angle pairs are supplementary? Check all that

Mathematics

1 answer:

Nikitich [7]2 years ago

3 0

Answer:

none of them

Step-by-step explanation:

If you add them together none of them equal 180 which is what supplementary angles add up to

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How long does it take for a simple with total number n to decay to 1/3n?

Vlada [557]

<span>Income earned over one year is principal * int rate so we have 0.12*A + 0.13*B +0.14*C = 400 and A + B + C = 3000 and A+B = C</span>

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2 years ago

Write a number that has a zero in the tens place draw a quick picture for your number

andrew-mc [135]

20...just draw 20 coins or something

6 0

2 years ago

The circumference of a circle is 62.8 inches.Using pi as 3.14,what is the radius.PLEASE SHOW YOUR WORK!!!!

mamaluj [8]

The circumference of a circle - $C=2 \pi r$

$C=62.8 \\ \\
62.8=2 \times 3.14 \times r \\
62.8=6.28r \\ \frac{62.8}{6.28}=r \\ r=10$

The radius is 10 in.

7 0

3 years ago

THANK YOU!!

lilavasa [31]

Step-by-step explanation:

x° + 61°+ 68° + 104° = 180°

x° + 129°+104°=180°

x°+133°=180°

x°=180°-133°

x=47°

8 0

2 years ago

A new screening test for Lyme disease is developed for use in the general population. The sensitivity and specificity of the new

Anit [1.1K]

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

$Sensitivity = \frac{TP}{TP + FN} \\0.6 = \frac{TP}{TP + FN} \\0.6TP + 0.6FN = TP\\0.4TP = 0.6FN\\TP = 1.5 FN$

$Specificity = \frac{TN}{TN + FP} \\0.7 = \frac{TN}{TN + FP} \\0.7TN + 0.7FP = TN\\0.7FP = 0.3 TN\\TN = 7/3 FP$

Prevalence = 10% = 0.1

Three hundred people are screened, $T_{total} = 300$

Total number of people having the disease, $T_{disease} = ?$

$Prevalence = \frac{T_{disease} }{T_{total} } \\0.1 = \frac{T_{disease} }{300 }\\T_{disease} = 30$

$T_{disease} = TP + FN\\30 = TP + FN$

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

$FP + TN = T_{total} - T_{disease} \\FP + TN = 300 - 30\\FP + TN = 270\\FP + \frac{7}{3} FP = 270\\\frac{10}{3} FP = 270\\FP = 27 * 3\\FP = 81$

81 + TN = 270

TN = 189

To calculate the Predictive value of positive test (PPT)

$PPT = \frac{TP}{TP + FP} * 100\\PPT = \frac{18}{18+81} * 100\\PPT = \frac{18}{99} * 100\\PPT = 18.18 \%$

To calculate the Predictive value of negative test (PNT)

$PPT = \frac{TN}{FN + TN} * 100\\PPT = \frac{189}{189+12} * 100\\PPT = \frac{189}{201} * 100\\PPT = 94.03 \%$

7 0

2 years ago