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Anna [14]
3 years ago
13

Help please thanks ................................

Mathematics
2 answers:
solong [7]3 years ago
8 0

Answer:

<em>The correct option is:  D. 10</em>

Step-by-step explanation:

According to the given diagram, the distance from point Y to \overleftrightarrow{WX} is YZ.

In the right triangle XYZ, the given lengths are:  XY=10\sqrt{2},\ \ XZ=10

Using the Pythagorean theorem, we will get......

(XZ)^2+(YZ)^2=(XY)^2\\ \\ (10)^2+(YZ)^2=(10\sqrt{2})^2\\ \\ 100+(YZ)^2=200\\ \\ (YZ)^2=200-100\\ \\ (YZ)^2=100\\ \\ YZ=\sqrt{100}=10

So, the distance from point Y to \overleftrightarrow{WX} is 10.

Stells [14]3 years ago
6 0

Answer:

By the pythagoras theorem

(10√2)^2 = ZY^2 + 10^2

ZY =  √(200-100)

= 10 answer

Step-by-step explanation:


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Swaziland has the highest HIV prevalence in the world : 25.9% of this country’s population is infected with HIV. The ELISA test
Verizon [17]

Answer:

1. If an individual from Swaziland has tested positive, what is the probability that he carries HIV ?

P=0.8249 or 82.49%

2. If an individual from Swaziland has tested negative, what is the probability that he is HIV free ?

P=0.9988 or 99.88%

Step-by-step explanation:

Make the conditional probability table:

  Individual

              Infected       Not infected

ELISA

Positive              

Negative  

Totals      

The probability of an infected individual with a positive result from the ELISA is obtained from multiplying the probability of being infected (25.9%) with the probability of getting a positive result in the test if is infected (99.7%), the value goes in the first row and column:

P=0.259*0.997=0.2582 or 25.82%

              Individual

              Infected       Not infected Totals

ELISA

Positive    25.82%        

Negative    

Totals      

The probability of a not infected individual with a negative result from the ELISA is obtained from multiplying the probability of not being infected (100%-25.9%=74.1%) with the probability of getting a negative result in the test if isn't infected (92.6%), the value goes in the second row and column:

P=0.741*0.926=0.6862 or 68.62%

              Individual

              Infected       Not infected Totals

ELISA

Positive    25.82%        

Negative                     68.62%

Totals      

In the third row goes the total of the population that is infected (25.9%) and the total of the population free of the HIV (74.1%)

Individual:

              Infected       Not infected Totals

ELISA

Positive    25.82%        

Negative                        68.62%          

Totals       25.9%             74.1%          

Each column must add up to its total, so the probability missing in the first column is 25.9%-25.82%=0.08%, and the ones for the second column is 74.1%-68.62%=5.48%.

             Individual

              Infected       Not infected Totals

ELISA

Positive    25.82%          5.48%            

Negative    0.08             68.62%          

Totals       25.9%             74.1%            

             Individual

The third column is filled with the totals of each row:

              Infected       Not infected Totals

ELISA

Positive    25.82%          5.48%            31.3%

Negative    0.08             68.62%          68.7%

Totals       25.9%             74.1%            100%

The probability A of tested positive is 31.3% and the probability B for tested positive and having the virus is 25.82%, this last has to be divided by the possibility of positive.

P(B/A)=0.2582/0.313=0.8249 or 82.49%

The probability C of tested negative is 68.7% and the probability D for tested negative and not having the virus is 68.62%, this last has to be divided by the possibility of negative.

P(D/C)=0.6862/0.687=0.9988 or 99.88%

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Step-by-step explanation:

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Step-by-step explanation:

Answers above! Hoped this helped :)

5 0
3 years ago
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