The test to detect the presence of the hepatitis B virus is 97% accurate for a person who has the disease and 99% accurate for a person who does not have the disease. In a given population, 0.55% of the people are infected. The probability that a randomly chosen person gets an incorrect result is

Answers

Answer 1
Answer: 0.0055*0.03+0.9945*0.01

because 0.55% people are infected and inaccuracy of the test is 3% 
and rest 99.45% people are not infected and the inaccuracy of the test is 1%

0.03 and 0.01 are the probability of an error being made in infected and uninfected respectively.


0.01011 is the probability that a randomly chosen person gets an incorrect result.
Answer 2
Answer:

Answer:

The required probability is 0.01011

Step-by-step explanation:

The test to detect the presence of hepatitis B is 97% accurate

Probability of presence and true = 0.97 

Probability of presence and false = 0.03

The test to detect the absence of hepatitis B is 99% accurate

Probability of absence and true = 0.99

Probability of absence and false = 0.01

Probability of infected = 0.55% = 0.0055

Probability of not infected = 1 - 0.0055 = 0.9945

Probability to have an incorrect result : P(infected) and P(presence and false) + P(not infected) and P(absence and false)

= 0.0055 × 0.03 + 0.9945 × 0.01

= 0.01011

Hence, The required probability is 0.01011


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In the equation 3^x=20, to the nearest tenth, what does x equal?

Answers

3^x=20\n x=\log_320\approx2.7
3^x=20 \n \n x= _(log3) 20 
≈ 2.7

Evaluate x0 + y0 for x = 3 and y = 2.

Answers

Answer:

The value of given expression is 2

Step-by-step explanation:

Given: Expression is x^0+y^0

To find : Value of expression when x = 3 and y = 2

Consider,

x^0+y^0

To find value we put value of x = 3 and y = 2

\implies 3^0+2^0

Now we know that value of expression whose power 0 is 1 irrespective of value of base .i.e, a^0=1 ∀ a ∈ any no.

3^0=1\:and\:2^0=1

\implies 3^0+2^0 = 1 + 1

⇒ 2

Therefore, The value of given expression is 2

Good evening


x^0+y^0 for x=3 and y=2

First thing we need to do is to replace their value

3^0+2^0

Remember: Any number that raised to the zero power equal 1

so now we have

3^0=1 and y^2=1

1+1

= 2


I hope that's help :0


Any Questions /

 

(xa-b)/x=y
Make x the subject of the formula.

Answers

(xa-b)/x=y

xy=xa-b

xa-xy=b

x(a-y)=b

x=b/(a-y)
\frac{xa-b}x=y\nxa-b=xy\nxa-xy=b\nx(a-y)=b\nx=(b)/(a-y)

Given that / and /, which postulate or theorem can be used to show that all 3 center triangles in the Antigua and Barbuda flag are similar?

Answers

Given that we assume that all the bases of the triangles are parallel.

We can use AAA or Angle-Angle-Angle to prove that these triangles are similar.

Each parallel line creates the same angle when intersecting with the same side.
For example:
The bases of each triangle cross the left side of all the triangle.
Each angle made by the intersecting of the the parallel base and the side are the same.
Thus, each corresponding angle of all the triangles are congruent.
If these angles are congruent, then we have similar triangles.

Actually, the answer is ASA postulate!!!! I just took the county geometry quiz and got it correct

tonya works part time in a store at the mall. She is paid about$200 per week before takes and social security. Tonya pays about $40 out of each weekly checks for taxes and social security total. What percent of the $200 weekly pay is Tonya paying for taxes and social security

Answers

Hey there,

200-40=160 
so 200-20%=160 

so the answer is he takes out 20% per week!

Hope this helped

James bought 5 boxes of cookies and 2 cakes at the store for his party. The cakes cost $4 each and his total bill was $28.50, how much was each box of cookies?

Answers

Number of cookie boxes bought by James = 5
Number of cakes bought by James = 2
Cost of each cakes = $4
Total bill paid by James = $28.50
Let us assume the cost of the each boxes of cookies = x
Then
5x + (2 * 4) = 28.50
5x + 8 = 28.50
5x = 28.50 - 8
5x = 20.50
x = 20.50/5
   = 4.10
So we can see from the above deduction that the cost of each boxes of cookies bought by James is $4.10