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Aleks04 [339]
3 years ago
10

PLEASE HELP URGENT PLEASE HELP apply the definition of subtraction and properties of operations to find the result. 1/8 - 3/7 -

3/8
Mathematics
1 answer:
Annette [7]3 years ago
8 0
You can make all the denominators equal by multiplying 8 by 7.

That makes it:

7/56 - 24/56 - 21/56 = -38/56 =

-19/28


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A gift basket that contains jars of jam and packages of bread mix costs $45. There are 8 items in the basket. Jars of jam cost $
castortr0y [4]
The equation you had:
6x + 5y = 45

Solve for Y:
5y = (-6x)    + 45 divide by 5
y   = (-6/5)x + 9
y   = -1 1/5x +9


4 0
3 years ago
Read 2 more answers
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
0.30 meters is equal to 1 what
liberstina [14]
0.30 meter is equal to 1 foot
8 0
3 years ago
What is the standard form of the polynomial 4x+6y^3x-xy+xy^2
meriva

The required standard form is 6y^3x+xy^2-xy+4x

<h3>Polynomial function</h3>

Given the polynomial function expressed as:

  • 4x+6y^3x-xy+xy^2

We are to express this polynomial in standard form

To do that, we will write the degrees of the variables in descending order of magnitude as shown:

4x+6y^3x-xy+xy^2\\6y^3x+xy^2-xy+4x

Hence the required standard form is 6y^3x+xy^2-xy+4x

Learn more on polynomial functions here: brainly.com/question/7693326

7 0
2 years ago
Let X be a continuous random variable with probability density function: fX(x) = ( 3 4 x (2 − x) 0 ≤ x ≤ 2 0 otherwise. (a) Dete
nikklg [1K]

Answer:

attached below

Step-by-step explanation:

Given :  FX (x) = 3/4x  (2-x)    0 ≤ x ≤ 2

a) Calculate the cumulative distribution function FX

Cdf =

attached below is the detailed solution

b) Let Y = √ X. determine CDF

attached below  

c) calculate PDF

4 0
2 years ago
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