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2 years ago

I need a little help because i forgot how to do thissimplify. y^2y^3

Mathematics

2 answers:

Step2247 [10]2 years ago

8 0

Answer:

$y^{5}$

Step-by-step explanation:

Using the rule of exponents

$a^{m}$ × $a^{n}$ ⇔ $a^{(m+n)}$

Hence

$y^{2}$ × $y^{3}$ = $y^{(2+3)}$ = $y^{5}$

sashaice [31]2 years ago

4 0

It is 3y^3 bc u take all the matching letters and add them up together

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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)

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

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3 years ago

What is the inverse of f(x)=2(x+4)²-5

olchik [2.2K]

I would be <em> $2x^{2} +16x+27$ </em>

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2 years ago

Erika ran 3/8 mile. maria ran 3/4mile. who ran farther

Alekssandra [29.7K]

Maria. You can check by dividing 8 into 3 and 3 into 8.

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3 years ago

Read 2 more answers

7x+5=2x-35 <br> What is the answer

Mnenie [13.5K]

7x + 5 = 2x - 35

=> 7x - 2x = - 35 - 5

=> x( 7 - 2 ) = - ( 35 + 5 )

=> x( 5 ) = - ( 40 )

=> x × 5 = - 40

$= >x = \frac{ - \cancel{40} \: \: \: ^{8} }{ \cancel{5}} \\ \\ \\ = > x = 5$

x = 5

Therefore the value of x in the given equation 5

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3 years ago

1.) The function g is related to one of the parent functions

Hunter-Best [27]

Answer:

g is terms of f is given by: $g(x) = f(x) + 6$

Step-by-step explanation:

We are given these following function:

$g(x) = x^2 + 6$

And

$f(x) = x^2$

Use function notation to write g in terms of f.

We can see that function g(x) is f(x) added by 6. So

$g(x) = f(x) + 6$

g is terms of f is given by: $g(x) = f(x) + 6$

8 0

2 years ago

I need a little help because i forgot how to do thissimplify. y^2y^3​

I need a little help because i forgot how to do thissimplify. y^2y^3