A certain disease has an incidence rate of 0.4%. If the false negative rate is 8% and the false positive rate is 2%, compute the probability that a person who tests positive actually has the disease

Answers

Answer 1

Answer:

To compute the probability that a person who tests positive actually has the disease, we need to use Bayes' theorem:

P(D|P) = P(P|D) * P(D) / P(P)

where:

P(D|P) is the probability of having the disease given a positive test result

P(P|D) is the probability of testing positive given that the person has the disease (also known as sensitivity), which is 1 - false negative rate = 0.92 in this case

P(D) is the incidence rate of the disease, which is 0.4% = 0.004

P(P) is the probability of testing positive, which can be computed using the false positive rate as 1 - specificity = 1 - 0.98 = 0.02

Plugging in the values, we get:

P(D|P) = 0.92 * 0.004 / 0.02 = 0.184

Therefore, the probability that a person who tests positive actually has the disease is 0.184, or about 18.4%.


Related Questions

Mallory's Border Collie had 13 puppies in 2 litters. Determine the rate for a ratio of the two different quantities.

A: 2 over 13 puppies per litter

B: 13 over 15 puppies per litter

C: 2 over 1 puppies per litter

D: 13 over 2 puppies per litter

Answers

None of the given options match this result, so the answer is none of the above.

What is ratio ?

A ratio is a quantitative comparison of two or more quantities or values, expressed as the quotient of one divided by the other. It is usually represented in the form of a fraction, using a colon, or by the word "to". For example, if there are 6 boys and 4 girls in a class, the ratio of boys to girls can be represented as 6:4, or 6/4, or 6 to 4. Ratios are often used to compare the relative sizes or amounts of two or more things, such as ingredients in a recipe, parts in a machine, or components in a financial statement.

The rate for a ratio of the two different quantities is the number of one quantity for each unit of the other quantity. In this case, the rate is the number of puppies per litter.

Mallory had 13 puppies in 2 litters, so the rate is:

13 puppies / 2 litters = 6.5 puppies per litter

None of the given options match this result, so the answer is none of the above.

Therefore, none of the given options match this result, so the answer is none of the above.

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find x, round to nearest tenth. URGENT HELP, show proofs

Answers

The value of x is 33.6( nearest tenth)

What is Pythagoras theorem?

The Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

c² = a²+b²

represent the two sides of x by a and b

from the big triangle

b = √ 29² - 12²

b = √ 841 -144

b = √ 697

b = 26.4

from the small Triangle

a = √ 14²-12²

a = √ 196-144

a = √52

a = 7.2

x = a+b

x = 7.2+26.4

x = 33.6( nearest tenth)

therefore the value of x is 33.6

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9. What is the length of the
hypotenuse of the triangle
when x = 2?​

Answers

Answer:

Right triangle JKL with JK measuring 33, angle J measures 60 degrees and angle L measure 30 degrees. 33rad … ical 3 66 33radical 2 16.5 5 Select the correct answer. 2 2

Step-by-step explanation:

Bob’s school is selling tickets to a concert. On Monday, the school sold 3 student tickets and 1 adult ticket for a total of $38. On Tuesday, the school made $52 by selling 3 student tickets and 2 adult tickets. Find the price of a student ticket and the price of an adult ticket. SHOW YOUR WORK.

Answers

Answer:

Let's call the price of a student ticket "s" and the price of an adult ticket "a".

From the first day's sales, we know that:

3s + 1a = 38

From the second day's sales, we know that:

3s + 2a = 52

We can use these two equations to solve for "s" and "a".

First, we'll use the first equation to solve for "a":

3s + a = 38

a = 38 - 3s

Next, we'll substitute this expression for "a" into the second equation:

3s + 2(38 - 3s) = 52

Simplifying and solving for "s", we get:

3s + 76 - 6s = 52

-3s = -24

s = 8

So the price of a student ticket is $8.

We can substitute this value back into the first equation to solve for "a":

3(8) + a = 38

24 + a = 38

a = 14

So the price of an adult ticket is $14.

How much money should be deposited today in an account that earns 8.5% compounded monthly so that it will accumulate to $9000 in three​ years?

The amount of money that should be deposited is ​

Answers

Answer:

$6981

Step-by-step explanation:

If you put $6981 in a deposit and your interest rate is 8.5% monthly it will give you $2,019.62 which then means your total will be $9,000.62

Hope this helped :) please mark as brainlyist

You have 700 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the​ river, find the length and width of the plot that will maximize the area. What is the largest area that can be​ enclosed?

Answers

Answer:

the largest area that can be enclosed with 700 feet of fencing is 61,250 square feet

Step-by-step explanation:

Reference the table above to solve this question.

Air pressure decreases during a storm. The difference between the normal air pressure 'n' and the air pressure during the 1935 Florida Keys hurricane was greater than 121 millibars.

Write an inequality that could be used to find the normal air pressure in the Florida Keys before the hurricane?

Answers

Answer:

Step-by-step explanation:

Let's assume that the normal air pressure in the Florida Keys before the hurricane is represented by the variable 'p'. The inequality that could be used to find 'p' based on the given information is:

p - 121 > n

This inequality states that the difference between the normal air pressure 'p' and the air pressure during the hurricane ('n') is greater than 121 millibars. By rearranging this inequality, we can solve for 'p':

p > n + 121

Therefore, the normal air pressure in the Florida Keys before the hurricane was greater than the air pressure during the hurricane plus 121 millibars.

A pole 8 feet tall is used to support a guy wire for a tower, which runs from the tower
to a metal stake in the ground. After placing the pole, Mav measures the distance
from the pole to the stake and from the pole to the tower, as shown in the diagram
below. Find the length of the guy wire, to the nearest foot.
8 ft
H24 ft +
(Diagram is not to scale.)

Answers

Answer:

77 ft long.

Step-by-step explanation:

Explanations are clearer in the photo I sent. These are actual photos I have had screen shot. Since, I even commented saying answer "50" is wrong and now this is the proof of a real answer.

Anthony is younger than Kadeesha. Their ages are consecutive integers. Find Anthony's age if the sum of the square of Anthony's age and 2 times Kadeesha's age is 82.

Answers

Answer:

8 yo

Step-by-step explanation:

A = age of Anthony

K = age of Kadeesha

Formulate equations based on the information given:

K = A + 1

A² + 2K = 82

Solve the simultaneous equations by substitution:

A² + 2(A + 1) = 82

A² + 2A + 2 = 82

A² + 2A - 80 = 0

(A + 10)(A - 8) = 0

A + 10 = 0 → A = -10

A - 8 = 0 → A = 8

Anthony can't be -10yo, so he is 8yo

Kadeesha is, therefore, 9yo

In each diagram, line g is parallel to like k, and line t intersects line g and k.

Answers

The correct answer to the question on parallel line is option (a), i.e: The value of x is 109°, because the labelled angles in each diagram are congruent.

What are parallel lines?

Parallel lines are defined as lines that lie in the same plane, are always equidistant from each other, and therefore never intersect, and are called parallel lines. ]

What are corresponding angles?

A matched angle is the angle formed by the matching angle or transversal and the corresponding angle when two parallel lines intersect another line (that is, transversal). 

According to the question:

In the diagram, the angle "x" is corresponding angle to 109°, so by the property "corresponding angle axiom "of intersecting line to parallel lines

angle "x" is equal to 109°.

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You work for a company that rents out inflatable tents for birthday parties. A customer has asked you for the typical length of time a tent will stay inflated. For recent events, your data show the following inflation times, in hours: 24, 27, 27, 24, 27, 24, 24, 27, 24, 24, 24, and 27.

What is the best measure to describe the typical length of time that a tent will stay inflated?

spread
mode
mean
median
none of the above

Answers

According to the information, the best measure to describes the typical length of time that a tent will stay inflated is mean (average).

How to identify the option that corresponds to the best measure to describe typical length of time that a tent will stay Inflated?

To identify the option that corresponds to the best measure to describes the typical length of time that a tend te stay inflated we have to analyze data and then we have to select the best option. In this case the most adequated measure is mean because it allow is to establish the average of time that a tent stay inflated. According to the above, this is the mean of the time that a tent will stay inflated

24 + 24 + 24 + 24 + 24 + 24 + 24 + 27 + 27 + 27 + 27 + 27 = 303

303 /12 = 25.25

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ALGEBRA 1 HW!! I WILL GIVE BRAINLYEST FOR ANSWERS! PLEASE HELP DUE SOON​

Answers

The analysis of the number of runners, can be presented as follows;

a. The sequence is a geometric sequence

b. r(3) = 72, which indicates that the number of runners after the third week is 72

c. r(6)/r(5) = (2/3)

d. The recursive rule for r(w) is that the number of  runners in a week is (2/3) × The number of passengers in the previous week

What is a sequence?

A sequence is an ordered list of items.

The number of passengers currently in the  running club = 243

The amount by which the  number reduces each week =  2/3 the number in the previous week.

a. Therefore, the number of passengers each week can be presented as follows;

First week = 243

Second week = (2/3)  × 243 =  162

Third week = (2/3)³ ×  243

Therefore, the number  of runners in the nth week is; an= (2/3)ⁿ × 243, which is a geometric sequence

b. The number of runners in the wth week, r(w) =  2/3)^w × 243,

Therefore; r(3)  = (2/3)³ × 243  = 72

The meaning of the value is that the number of runners in the third  week, r(3) =  72 runners

c. r(6))/(r(5)) can be obtained as follows;

r(6) = (2/3)^6 × 243

r(5) = (2/3)^5 × 243

r(6)/r(5) = ((2/3)^6 × 243)/( (2/3)^5 × 243) = (2/3)

d. The recursive formula can be obtained as follows;

The number of passengers in a specified week =  (2/3) × The number of passengers in the previous week

r(w + 1) = (2/3)^w  ×  243

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Please help:)))))))))))

Answers

Option C is correct, x=-1/12y² represents the equation of the parabola.

What is Conic section?

A conic section, conic or a quadratic curve is a curve obtained from a cone's surface intersecting a plane

The given curve represents a parabola

A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line which is known as the directrix.

it's a sideway parabola (expressed as x=......) plus it does not have any x<0 as you can see in the graph,

so x must be always positive for every value of y

Hence, option C is correct, x=-1/12y² represents the equation of the parabola.

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George buys a set of 224 stamps he gives 44 stamps to a friend

Answers

Answer:

what am i suppose to answer !!!!

Answer:

he has 180 left

Step-by-step explanation:

because 224-44=180

The library in Booneville collected $3,470 in overdue fees last year. This year, the library collected $347. What is the percent of decrease in the amount collected?

Answers

To find the percent decrease in the amount collected, we need to calculate the difference between the two amounts (last year's and this year's), divide it by the original amount, and then multiply by 100 to get the percentage.

The difference between the amounts collected is:

$3,470 - $347 = $3,123

The original amount is $3,470.

So the percent decrease is:

($3,123/$3,470) x 100% = 90%

Therefore, the percent decrease in the amount collected is 90%.

The scatterplot below shows the relationship between years of education and income for a representative sample for adults

Answers

The best estimate οf the average change in the incοme that is assοciated with gοing tο schοοl fοr an additiοnal year is $3000.

What is plοtting data?

A graph that depicts the relatiοnship between twο extra variables is the mοst cοmmοn way tο plοtting data using a chart. It is alsο permitted tο use hand-drawn οr digitally generated diagrams. Beginning at the οrigin, mοve 2 units tο the right, then 3 units up. In the cοοrdinate plane, the cοοrdinates fοr the pοints 2, 3, and 4 shοuld be shοwn. Explain yοur pοints in detail. Sο, the pink dοt with the letter P represents the number 2.3. Yοu must first prοduce a number line fοr each value in yοur data cοllectiοn befοre yοu can create a line chart.

The scatterplοt suggests that there is a cοrrelatiοn between years οf schοοling and incοme that is favοurable. The graph's pοints οften create an upward slοping pattern gοing frοm left tο right, shοwing that thοse with mοre educatiοn typically earn mοre mοney.

It is impοrtant tο remember that there is still sοme diversity in incοme levels amοng thοse with the same degree οf educatiοn, indicating that the link between educatiοn and incοme is nοt perfectly linear. Other variables, such οccupatiοn, industry, and jοb experience, may alsο be at play and have an impact οn incοme levels.

As, the mοst dense vοlume is in $3000, then the best estimate οf the average change in the incοme that is assοciated with gοing tο schοοl fοr an additiοnal year is $3000.

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Complete question:

Immediate help!!!! Will give brainiest! John wants to make a salad using one type of lettuce and one other type of vegetable. Which are possible outcomes? Check all that apply. Picture below.

Answers

Answer:

Option 1: iceberg lettuce and peppers

Option 2: romaine lettuce and cucumbers

Option 4: tomatoes and iceberg lettuce (order does not matter)

Option 6: cucumbers and iceberg lettuce

Step-by-step explanation:

We have the option of choosing one item(lettuce) from the left box and one veggie from the right box

All possible outcomes are

Highlighted entries correspond to correct answer choices

{iceberg , peppers}               Option 1

{iceberg , cucumbers}            Option 6

{iceberg , tomatoes}               Option 4

{romaine, peppers}

{romaine, cucumbers}         Option 2

{romaine, tomatoes}

From the options given we can choose

Option 1: iceberg lettuce and peppers

Option 2: romaine lettuce and cucumbers

Option 4: tomatoes and iceberg lettuce (order does not matter)

Option 6: cucumbers and iceberg lettuce


Work out the equation of a line that has a gradient of -2 and passes through (1,7)

Answers

With the infοrmatiοn prοvided, the sοlutiοn is 2x + y = 9.

What are equatiοns used fοr?

A mathematical equatiοn, including such 6 x 4 = 12 x 2, states that twο numbers οr values are equivalent. a meaningful nοun. An equatiοn is used when twο οr even mοre factοrs must be cοnsidered jοintly in οrder tο understand οr explain the whοle situatiοn.

Given:

Slοpe οr gradient οf line = -2

The lοcatiοn where the line passes = (1,7)

Equatiοn οf a line thrοugh (h,k) with a slοpe οf m:

(y - k) = (x -h) m

Equatiοn οf a line thrοugh (1,7) with a slοpe οf (-2): -

⇒ (y - 7) = (x - 1)(-2)

⇒ y - 7 = - 2x + 2

⇒ y = -2x + 2 + 7

⇒ y = -2x + 9

οr

⇒2x + y = 9

Verificatiοn οf respοnse:

We may check οur respοnse by substituting (1,7) in the fοrmula 2x+y=9.

⟹ LHS = (2×1)+7

⟹ LHS = 2+7

⟹ LHS = 9

Therefοre , LHS = RHS.

Alsο, yοu can use the equatiοn tο determine the gradient οr slοpe and cοnfirm yοur sοlutiοn.

⟹ Slοpe is equal tο -(cοefficient οf x)/ (cοefficient οf y)

⟹ Slοpe = - 2 /1

⟹ slοpe = -2

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A plan for a house includes a rectangular room with an area of 80 square feet and a perimeter of 36 feet. What are the length and width of the room

Answers

Answer:

Let's call the length of the rectangular room "L" and the width "W". We know that the area (A) of the room is 80 square feet, so:

A = L x W

We also know that the perimeter (P) of the room is 36 feet. The formula for the perimeter of a rectangle is:

P = 2L + 2W

We can use the fact that P = 36 to solve for one of the variables in terms of the other. Solving for W, we get:

W = (36 - 2L) / 2

Now we can substitute this expression for W into the formula for the area:

A = L x ((36 - 2L) / 2)

Simplifying, we get:

80 = (L x (36 - 2L)) / 2

Multiplying both sides by 2, we get:

160 = L x (36 - 2L)

Expanding the right side, we get:

160 = 36L - 2L^2

Rearranging and simplifying, we get a quadratic equation:

2L^2 - 36L + 160 = 0

We can solve this quadratic equation using the quadratic formula:

L = [36 ± sqrt(36^2 - 4(2)(160))] / (2(2))

Simplifying, we get:

L = [36 ± sqrt(576)] / 4

L = [36 ± 24] / 4

L = 15 or L = 5

Since the length cannot be smaller than the width, we can disregard the solution L = 5. Therefore, the length of the rectangular room is 15 feet, and the width can be found using the formula we derived earlier:

W = (36 - 2L) / 2 = (36 - 2(15)) / 2 = 3

So the length of the room is 15 feet and the width is 3 feet.

What is the equation of the line in slope intercept form

Answers

the equation of the line would be y = 1/3x + 2

Find the center and radius of the circle represented by the equation below.

x^2+y^2-8x-20y+52=0

Answers

Answer:

Step-by-step explanation:

To find the center and radius of the circle represented by the equation:

x^2 + y^2 - 8x - 20y + 52 = 0

We can start by completing the square for both x and y terms as follows:

(x^2 - 8x) + (y^2 - 20y) + 52 = 0

(x^2 - 8x + 16) + (y^2 - 20y + 100) + 52 = 16 + 100

(x - 4)^2 + (y - 10)^2 = 64

Thus, the equation can be rewritten in the standard form of the circle as:

(x - 4)^2 + (y - 10)^2 = 8^2

Therefore, the center of the circle is (4, 10), and its radius is 8 units.

Step-by-step explanation:

x² + y² - 8x - 20y + 52 = 0

the standard circle equation is

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle, and r is the radius.

now, we need to find the squared terms in the original equation.

x² and y² are clearly from the (x - h)² and (y - k)².

and then

(x - h)² = x² - 2hx + h²

-2hx = -8x

2h = 8

h = 4

(y - k)² = y² - 2ky + k²

-2ky = -20y

2k = 20

k = 10

h² + k² = 16 + 100 = 116

116 - r² = 52

r² = 64

r = 8

so, the center is (4, 10), the radius is 8.

In the circle below, suppose mWXU = 152° and mXWV=71°. Find the following.
(a) mWXU =
(b) mXUV =

Answers

The values of are;

1. angle WXU = 104°

2. angle XUV = 109°

What is a cyclic quadrilateral?

A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle. It is also sometimes called inscribed quadrilateral. The circle which consists of all the vertices of any polygon on its circumference is known as the circumcircle or circumscribed circle.

The sum of opposite in angle Ina cyclic quadrilateral is 180°

angle v = 152/2 = 76°

therefore angle XWV = 180-(76) = 104°

angle XUV = 180-71 = 109°

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can i get more offers please thank you so much

Answers

Answer:

Step-by-step explanation:umm

Indicate whether the sentence or statement is true or false. (2 + 3) + 5 = 2 + (3 + 5)

Answers

Answer:

True

Step-by-step explanation:

(2 + 3) + 5 = 2 + (3 + 5)

5+5=2+8

10=10

this statement is true

8.2 A sum of R45 360 has to be shared among three people. Divide the money between Ayanda, (4 Zipho and Palesa according to the ratio of 4:3:2​

Answers

Answer:

Ayanda will receive R20,160, Zipho will receive R15,120, and Palesa will receive R10,080.

Step-by-step explanation:

We can use the ratio of 4:3:2 to find the total number of parts:

4 + 3 + 2 = 9

This means that the money will be divided into 9 equal parts, and Ayanda will get 4 parts, Zipho will get 3 parts, and Palesa will get 2 parts.

To find the value of one part, we divide the total amount by 9:

45,360 / 9 = 5,040

Therefore, one part is worth R5,040.

Now we can find the amount of money each person will receive by multiplying their respective parts by the value of one part:

Ayanda: 4 parts × R5,040/part = R20,160

Zipho: 3 parts × R5,040/part = R15,120

Palesa: 2 parts × R5,040/part = R10,080

Therefore, Ayanda will receive R20,160, Zipho will receive R15,120, and Palesa will receive R10,080.

When writing 7–√979 as 7n7n, which statement is true about the value of n?

Answers

[tex](\sqrt[9]{7} = 7^{1/9}[/tex]  is true about the value of n in polynomial.

What is a polynomial, simply put?

Using mathematical operations like addition, subtraction, multiplication, and division, a polynomial is an equation made up of variables, constants, and exponents (No division operation by a variable).

                                     A polynomial function is a function that can be expressed in the form of a polynomial. The definition can be derived from the definition of a polynomial equation. A polynomial is generally represented as P(x). The highest power of the variable of P(x) is known as its degree.

 the value of n is 1/9 because  ([tex](\sqrt[9]{7} )^{9}[/tex]  = 7¹

          and ( [tex](7^{1/9})^{9}[/tex]  = 7¹

                [tex](\sqrt[9]{7} = 7^{1/9}[/tex]

 is correct option .

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What is the area of this trapezoid

Enter your answer in the box

Answers

Answer:

322 ft^2

Step-by-step explanation:

((a+c)*v )/2 35+11 *14 /2

Which of the following equations represents a linear function?

x = 3
y equals one half times x minus 5
y equals three fourths times x squared
3x − 6 = 4

Answers

The equations that represent a linear functions are:

x = 3y = 1/2x - 53x − 6 = 4

How to determine the linear functions

From the question, we have the following parameters that can be used in our computation:

The list of options

As a general rule

Linear functions are functions with a degree of 1

Using the above as a guide, we have the following equations with a degree of 1:

x = 3y = 1/2x - 53x − 6 = 4

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Please help!!! See imagine bellow!!!

Answers

Answer:

onomatopoeia

Step-by-step explanation:


The initial price of the bag is $50 and the final price is $52. Find the percent error in
the price.

Answers

Answer: There isn't an error, it's taxes

Step-by-step explanation:

Answer:

The percent error in the price can be calculated using the formula:

percent error = |(experimental value - actual value) / actual value| x 100%

In this case, the experimental value is the final price of $52 and the actual value is the initial price of $50. So we have:

percent error = |(52 - 50) / 50| x 100%

percent error = |2/50| x 100%

percent error = 4%

Therefore, the percent error in the price is 4%.

Other Questions
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