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Step2247 [10]
2 years ago
8

Write the fraction as an equivalent fraction with the given denominator 7/4 = _/20

Mathematics
1 answer:
zzz [600]2 years ago
4 0

Answer:

35/20

Step-by-step explanation:

20 divided by 4 = 5

so our multiple is 5

5 x 4 = 20

so we have to do the same to the numerator

5 x 7 = 35

Simplified= 1 3/5

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30h-40+60 or 30h+20 I think
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Which number is distributed in this expression 5(3 + 2 + 8)? *
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c.5

Step-by-step explanation:

5(3 + 2 + 8)

The number outside of the parenthesis is distributed to the numbers inside of the parenthesis

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How do you solve for the area for a complex figure
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Step-by-step explanation:

It varies depending on the structure of the figure your taling about. If it is a bunch of squares or rectangles, you get the perimeter of all sides and then you try to make the figure into smaller squares or rectangles. After that now find the perimeter of the new side (opposit side should tell you) and then find the area for all the rectangles and squares. After that step, you add all the areas together and...viola!!!! You get the area of the complex figure. If it is not a rectangle please comment with the object and I could help you.

5 0
3 years ago
Please explain 22 and 23
ICE Princess25 [194]

Hey there!

  1. \bold{Mean\rightarrow your \ average}
  2. \bold{The\ word \ 'average' \ means \rightarrow} \bold{is \ where \ you \ add \ up \ your \ particular \ numbers \ \& you}\bold{divde \ your \ result \ by \ the \  number!}

\bold{22.\downarrow}

  • If we're rounding the answer then: \boxed{\bold{answer:90}} \checkmark

\bold{23.\downarrow}

  • Another name for the word is "range" so, \boxed{\bold{answer:11}} \checkmark

Good luck on your assignment and enjoy your day!

~\frak{LoveYourselfFirst:)}

5 0
3 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
3 years ago
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