A test for syphilis gives a positive result with probability 0.98 when tested on a person whohas the disease. The test gives a negative result with probability 0.9 when tested on a personwho does not have the disease. Assume that 3% of a society has the disease, and compute thefollowing probabilities in the order they are asked. Note that for each individual there are twodisease status(disease, no disease) and two types of test results(positive, negative).
a) Compute the probability that an individual has the disease and has a positive test result. Explain.
b) Compute the probability that an individual does not have the disease and has a positive test result.
c) What does the sum of two probabilities given above correspond to? Explan.
d) If possible, using the three probabilities computed above compute the probability that an individual with a positive test result has the disease. Give reasons to your computation.

On solving the provided question, we can say that -  f(x) = 3x2 - 6x + 2, and the value of the equation f(x) = +2

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

f(x) = 3x2 - 6x + 2

x = 1

f(x) = +2

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Answer:

Instantaneous velocity can be equal to average velocity when the acceleration is zero or velocity is constant because in this condition all the instantaneous velocities will be equal to each other and also equal to the average velocity.

Answer:

60 cm cubed I think

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

use the Area formula

L*W*H

3*5*4=60

Answer:

B

Step-by-step explanation:

Cuz I graphed it, and it looked the same

Answer:

-3,950

Step-by-step explanation:

First -5,000(1-0.21)

Then multiply -5,000 x 0.79 = -3,950

Answer:

O V=3(10XB)(12)

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

The shape is a rhombus when plotted on a quardanent plane. The shape is similar to a diamond.

Answer:

top one is dependent

bottom is independent

Step-by-step explanation:

the amount of money you pay is based off of the amount of time on your subscription

Answer:

there would be 8 sides if there are 20 diagonals

Answer:

6√2

Step-by-step explanation:

-√2×2×2 -√2×3×3×3 + 2√3×3

-2√2 - 3✓6 + 2×3

-2√2 - 3√2×2 +2 + 6

6√2

Answer:

x=-1 and y=4

Step-by-step explanation:

When you draw a graph you will see point of intersection which is solution

Answer:

[tex]y=x^2+2x-2[/tex]

Step-by-step explanation:

Vertex form is expressed as: [tex]y=a(x-h)^2+k[/tex], and is super useful when analyzing the vertex, which is given to be (h, k).

Standard form is expressed as: [tex]y=ax^2+bx+c[/tex], and is also useful in certain cases.

When converting standard to vertex we have to complete the square to rewrite the equation using a perfect square binomial, which is what really distinguishes the two. Now when we want to convert back into standard form, we simply need to get rid of this perfect square binomial, which we can do by expanding out the perfect square binomial into a trinomial.

So in other words, we want to multiply out the following: [tex](x+1)(x+1)[/tex], which becomes: [tex]x^2+2x+1[/tex] which you can solve by using polynomial multiplication, which is essentially just extending the logic of the distributive property. In general when given two polynomials to multiply, you look at one polynomial, and then multiply it by each term in the other polynomial, now repeat this for each term in the polynomial you were initially looking at. I'll provide a picture to better illustrate this. You can use FOIL if it helps you with multiplying binomials, but remembering how to generally use it, will help you when multiplying polynomials in general.

Now that we've multiplied out the expression, we can substitute it into the equation: [tex]y=x^2+2x+1-3[/tex], now just combine the constants: [tex]y=x^2+2x-2[/tex], and now you've converted it into standard form!

Answer:

  cos(x -π/3) = (1/2)cos(x) +(√3/2)sin(x)

Step-by-step explanation:

You want cos(x -π/3) written in terms of sine and cosine.

The formula for the cosine of the difference between two angles is ...

  cos(a -b) = cos(a)cos(b) +sin(a)sin(b)

We have a=x, b=π/3, so the desired function is ...

  cos(x -π/3) = cos(x)cos(π/3) +sin(x)sin(π/3)

We know that ...

so the rewrite is ...

  cos(x -π/3) = (1/2)cos(x) +(√3/2)sin(x)

Answer:

24

Step-by-step explanation:

i did 4x6

4x6=24

the reason i did this is because that is how i do this the rest of the class has their fancy diagrams and are being hyponthageese and not listening to me to find that it is the easiest way to find the answer

After simplification we got the above expression in the form 3f + 16m -56

The word "simplify" implies to turn something in a simpler form.

In mathematics, simplify an expression means write an expression in such a way that is comparatively less complicated than before. The main purpose of simplify an expression is to make it easy to solve as well as calculation.

3f + 8(2m-7)

we rearrange the expression by removing the parenthesis.

we remove the parenthesis by multiplying the factors.

3f + 8 × 2m - 8 × 7

3f + 16m -56

the above expression has no like terms to add or subtract so it is kept in this form.

Hence, 3f + 16m -56 is the simpler form.

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Answer:

2 hrs and 20 minutes

Step-by-step explanation:

45 + 35 = 80

Answer:

A= BH

A=8cm ×2.2 cm

A= 17.6cm²

Answer: x is -2 and y is 4 if needed (-2,4) is the origin form

Step-by-step explanation: first we take side walk one we subtract -3x on both sides then you get 3y=-3x+6 divide both by 3 you get y=-x+2 finally we can substitute. substitute y for x+6 you get x+6 = -x+2 do the inverse of -x on both sides you get 2x+6=2 do the inverse of 6 on both sides you get 2x=-4 divide 2 on both sides you get x=-2. substitute x of  y=-x+2 to y=-(-2)+2 mult  -1 x -2 is 2, 2+2 is four so y= 4 put that together x is -2 and y is 4

Step-by-step explanation:

D

11h+33

30p+15j

4p+8

i feel like im about to die, ur a lil scary

The price of a seven minute call direct to New York, in the evening, is given as follows:

$5.82.

The cost of the call is obtained considering the information given in the table, for which the proportions are applied.

We have a direct call, meaning that it is a person-to-person call, thus the flat rate is of $3.00 per minute.

Then the minute proportions, considering that the call happens in the evening, are given as follows:

A seven minute call is composed by six additional minutes after the first, hence the total cost is obtained as follows:

0.38 x 3 + 6 x 0.26 x 3 = $5.82.

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Answer:

Step-by-step explanation:

(2x – 3)(5x + 6)

10x2 + 12x - 15x - 18

10x2 - 3x - 18

The product of the given polynomials is 10x² - 3x - 18

A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

The given polynomials are:

(2x – 3)(5x + 6)

By multiplying the two polynomials, we get

10x² + 12x - 15x - 18

10x²- 3x - 18

Hence, 10x²- 3x - 18 is the product of the given polynomials.

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Answer:

center (2, -3)

radius r = 3

Graph c

Step-by-step explanation:

Answer:

Graph A on edge

Step-by-step explanation:

Answer:

The answer is -1

Step-by-step explanation:

Answer:

The 90% confidence interval for (u1 - u2) is the range from; ( 0.50 - 2.06 )

Step-by-step explanation:

Given the data in the question;  

Adult with No children under 18                    Adult with children under 18

x"₁ = 5.65                                                             x"₂ = 4.37

s₁ = 2.43                                                               s₂ = 1.73

n₁ = 40                                                                  n₂ = 40

with 90% confidence

significance level ∝ = 1 - 90% = 1 - 0.9 = 0.1    

Degree of freedom df = 39

Now, since variance are not equal and are also unknown, we will use 2 sample t-distribution method;

Standard Error: σx"₁ - x"₂ = [tex]\sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} }[/tex]

Critical value = [tex]t_{\alpha /2, df[/tex] = [tex]t_{0.05, df=39[/tex] = 1.645   { from standard normal table }

Now,

Margin of Error = E = [tex]t_{\alpha /2, df[/tex] × [tex]\sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} }[/tex]

we substitute

E = 1.645 × [tex]\sqrt{\frac{2.43^2}{40} + \frac{1.73^2}{40} }[/tex]      

E = 1.645  × √( 0.1476225 + 0.0748225 )

E = 0.7758478

Now, our point difference will be; x"₁ - x"₂ = 5.65 - 4.37 = 1.28

So Limit at 90% confidence interval will be;

x"₁ - x"₂ ±  E

Lower Limit = x"₁ - x"₂ - E = 1.28 - 0.7758478 = 0.50415 ≈ 0.50

Upper Limit = x"₁ - x"₂ + E = 1.28 + 0.7758478 = 2.05584 ≈ 2.06

Therefore, The 90% confidence interval for (u1 - u2) is the range from; ( 0.50 - 2.06 )

Answer:

C. iv

Step-by-step explanation:

I calculated it logically

Answer:

8

Step-by-step explanation:

2/ 1/4 = 8

Answer: 8

Step-by-step explanation: 2 / 1/4 = 8