A certain disease has an incidence rate of 0.6%. If the false negative rate is 8% and the false positive rate is 3%, compute the probability that a person who tests positive actually has the disease.

Answers

Answer 1

Answer:

0.1562 = 15.62% probability that a person who tests positive actually has the disease.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Tests positive

Event B: Has the disease.

Probability of a positive test:

100 - 8 = 92% of 0.6%(person has the disease).

3% of 100 - 0.6% = 99.40%(person does not have the disease). So

[tex]P(A) = 0.92*0.006 + 0.03*0.994 = 0.03534[/tex]

Probability of testing positive and having the disease:

92% of 0.6%. So

[tex]P(A \cap B) = 0.92*0.006 = 0.00552[/tex]

Probability that a person who tests positive actually has the disease.

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.00552}{0.03534} = 0.1562[/tex]

0.1562 = 15.62% probability that a person who tests positive actually has the disease.


Related Questions

Find the greatest common factor of 6c^3 and 10c^4

Answers

Answer:

2c^3

Step-by-step explanation:

The greatest common divisor of 6 and 10 are 2

The factors that are common to 6c^3, 10c^4 would be 2ccc

Simplify that and you have 2c^3

Please help! Due today

Answers

Answer:

-4 5/12

Step-by-step explanation:

Given that f(x) = 5x+3 and g(x) = x²-3.
Find
a f(4)
b) f(g(x))
C). g( f (2))​

Answers

Answer:

given;

f(x) = 5x+3

g(x) = x²-3.

Step-by-step explanation:

a f(4)=5×4+3=23

b) f(g(x))=f(x²-3)=5{x²-3)+3=5x²-15+3=5x²-12

C). g( f (2))=g(5×2+3)=13²-3=166

Verify that triangle ABC is equal to DEF . Find the scale factor of triangle ABC to triangle DEF

Answers

Answer:

k =  6 : 5 : 4

Step-by-step explanation:

BC : AB : AC = 18 : 15 : 12 = 6 : 5 : 4

EF : DE : DF = 12 : 10 : 8 = 6 : 5 : 4

Let f(x) = 6x² - 54x+100 and g(x)=-3x² + 19. Identify the solution(s) of f(x) = g(x).

Answers

Answer:

x = 3

Step-by-step explanation:

f(x) = g(x)

[tex]6x^{2} - 54x + 100 = -3x^{2} + 19\\9x^{2} - 54x + 81 = 9(x^{2} - 6x + 9) = 0[/tex]

9(x - 3)(x - 3) = 0

x = 3

Which of the four Venn diagrams represents this?

Answers

Answer:

I would day option B does

Answer:

A is the correct answer

Step-by-step explanation:

Pls help if u cannnnnnnnnn

Answers

Answer:

V≈2144.66m³

Step-by-step explanation:

V=4 /3πr^3

d=2r

Solving for V

V=1/ 6πd^3=1/ 6·π·16^3≈2144.66058m³

Hope this helped!!!

Answer:

2143.57 m³

Step-by-step explanation:

Formula of volume of sphere

[tex] = \frac{4}{3} \times π \times {r}^{3} [/tex]

The volume of the sphere

[tex] = \frac{4}{3} \times 3.14 \times {(16 \div 2)}^{3} [/tex]

[tex] = \frac{4}{3} \times 3.14 \times {8}^{3} [/tex]

[tex] = \frac{6430.72}{3} [/tex]

[tex] = 2143.573333...[/tex]

= 2143.57 m³ (rounded to the nearest hundredth)

In scientific notation

Answers

Answer:

2*10^4

I can't see the question..

[tex]4*10^6[/tex] = 4000000

[tex]2*10^2[/tex] = 200

4000000/200 = 20000

20000 = [tex]2*10^4[/tex]

Step-by-step explanation:

I hope this helps!

Have a nice day!

and can I maybe have brainliest? Thanks!

If the die is rolled 100 times, predict the number times it would land on an
even number. *

Answers

Answer:

50

Step-by-step explanation:

there are 6 numbers on a dice 3 even 3 odd you would have a 50 chance of getting even

An article reported the results of an experiment to determine the effect of load on the drift in signals derived from a piezoelectric force plates. The correlation coefficient y between output and time under a load of 588 N was −0.9515. Measurements were taken 110 times per second for 300 seconds, for a total of 33000 measurements. Find a 95% confidence interval for the population correlation rho. Round the answers to four decimal places.

Answers

Answer:

95% confidence interval for the population is; -0.9525 < [tex]p[/tex] < -0.9505

Step-by-step explanation:

Given the data in the question;

correlation coefficient y between output and time under a load of 588 N was −0.9515

so first we determine the quantity W.

we know that; W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 + r}{1 - r}[/tex])

we substitute -0.9515 for r

W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 + (-0.9515 )}{1 - (-0.9515 )}[/tex])

W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 - 0.9515 )}{1 + 0.9515 )}[/tex])

W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{ 0.0485}{1.9515 }[/tex])

W = [tex]\frac{1}{2}[/tex]ln( 0.02485 )

W = [tex]\frac{1}{2}[/tex]( -3.6948975 )

W = - 1.8474

So the quantity W is normally distributed with  standard deviation given by;

σ[tex]_w[/tex] = 1 / √(n - 3)

given that n is 33,000, we substitute

σ[tex]_w[/tex] = 1 / √(33,000 - 3)

σ[tex]_w[/tex] = 1 / √32997  

σ[tex]_w[/tex] = 0.0055

Now, at 95% confidence interval, μ[tex]_w[/tex] will be;

⇒ - 1.8474 - 1.96( 0.0055 ) < μ[tex]_w[/tex] < - 1.8474 + 1.96( 0.0055 )

⇒ - 1.8474 - 0.01078 < μ[tex]_w[/tex] < - 1.8474 + 0.01078

⇒ -1.8582 < μ[tex]_w[/tex] < -1.8366

So to obtain 95% confidence interval for p, we use the following equation;

we transform the inequality

p = [( [tex]e^{2u_w} - 1[/tex] ) / ( [tex]e^{2u_w} + 1[/tex] )]

we substitute

[tex]\frac{e^{2(-1.8582 )}-1}{e^{2(-1.8582 )} + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{e^{2(-1.8366)}-1}{e^{2(-1.8366)} + 1}[/tex]

[tex]\frac{e^{-3.7164}-1}{e^{-3.7164} + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{e^{-3.6732}-1}{e^{-3.6732} + 1}[/tex]

[tex]\frac{0.02432-1}{0.02432 + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{0.025395-1}{0.025395 + 1}[/tex]

[tex]\frac{-0.97568}{1.02432}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{-0.974605}{1.025395}[/tex]

-0.9525 < [tex]p[/tex] < -0.9505

Therefore,  95% confidence interval for the population is; -0.9525 < [tex]p[/tex] < -0.9505

She mixes nuts, raisins and oats in the ratio 3:2:5 by weight. Babajan uses 60 grams of nuts. Work out the weight of raisins she uses to make the breakfast cereal

Answers

Answer:

weight of raisins : 40

Step-by-step explanation:

nuts : raisins : oats

3:2:5= 60: ? : ?

60÷3 = 20

raisins : 2×20 = 40

(D) Work out
1/4 of 28

Answers

Answer:

1/4 ×28=7 ::*^ jghjnryh

Answer:

7

Step-by-step explanation:

[tex]\left(\frac{1}{4}\right)\cdot28[/tex]

[tex]\frac{\left(1\right)\cdot\left(28\right)}{\left(4\right)\cdot\left(1\right)}[/tex]

[tex]\frac{\left(28\right)}{\left(4\right)}[/tex]

You should divide both the numerator and the denominator by 4 and get 7 as a result of that.

Need help quick with full work

Answers

Answer:

1st of column 1

and

3rd of column 2

1st of column 1

And


3rd of column 2

3 5/8 - 2 1/8=?
[tex]3 \frac{5}{8} - 2 \frac{1}{8} [/tex]
ASAP!!!!​

Answers

Answer:

answer:

[tex]3 \frac{5}{8} - 2 \frac{1}{8} [/tex]

[tex] \frac{29}{8} - \frac{17}{8} [/tex]

[tex] \frac{29-17}{8} [/tex]

[tex] \frac{12}{8} [/tex]

[tex] \frac{3}{2} [/tex]

[tex] 1\frac{1}{2} [/tex]

is your answer.

Would greatly appreciate the help

Answers

Answer:

B

Step-by-step explanation:

1.454, 1.454444, 1.454454454, 1.4545454, 1.454545 in order but as you can see, the last two are equal

Arsenic concentration in public drinking water supplies is potential health risk. An investigator collected data of arsenic concentration in parts per billion (ppb) from 10 metropolitan phoenix communities and 10 rural Arizona. Under  = 5%, can the investigator conclude that the metropolitan phoenix water is different from the rural Arizona when it comes to the Arsenic concentration

Answers

Answer:

Hello your question has some missing data  below is the missing data

answer : The Investigator can conclude that the metropolitan phoenix water is different from the rural Arizona ( to = -2.77 which is < 0.05 )

Step-by-step explanation:

The hypothesis ;

H0 : μ1 = μ2

Ha : μ1 ≠ μ2

significance level ( ∝ ) = 0.05

calculate for degree of freedom ( df ) = 13.2  ( using excel function )

find the test statistic ( to ) = -2.77

attached below is the remaining part of the solution

A car is driving at 40 kilometers per hour. How far, in meters, does it travel in 2 seconds?

Answers

Answer:

i think its 22.22 thats my guess

Answer:

[tex]\frac{1}{45}[/tex] kilometers

Step-by-step explanation:

60 minutes = 3600 seconds

[tex]\frac{40}{3600} =\frac{y}{2}[/tex]

3600y = 80

3600y ÷ 3600 = 80 ÷ 3600

[tex]y=\frac{1}{45}[/tex]

How old is a tree with circumference of 62.83 cm?

Answers

Step-by-step explanation:

19.9 is the age of the tree.

divide the circumference with 3.142 .

hope this helps you☺️☺️

awnser plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

Answers

Answer:

x = 12, x = -4.

Step-by-step explanation:

x² - 8x - 48 = 0.

This factors to (x - 12)(x + 4) = 0.

Proof:

(x - 12)(x + 4) = 0

first: x * x

outer: 4 * x

inner: -12 * x

last: -48.

first: x²

outer: 4x

inner: -12x

last: -48

x² + 4x - 12x - 48

x² - 8x - 48.

To find the zeros, take the individual pairs and find the values that make the equation 0.

x - 12 = 0

Add 12 to both sides.

x = 12.

x + 4 = 0

Subtract 4 from both sides.

x = -4.

Answer:

x= 4 + 2√5, x = 4 - 2√5

Step-by-step explanation:

So this is quadratics so you can solve it by completing the square and using the quadratic formula. The quadratic formula is x = (-b±√(b²-4ac)) / (2a).

A pool can be filled by one pipe in 8 hours and by a second pipe in 2 hours. How long will it take using both pipes to fill the​ pool?

Answers

let the time taken to be filled by both pipes be y

1/2 +1/8=1/y

(4+1)/8=1/y

5/8=y

cross multiplying

5y=8

y=8/5

=1.6hrs

Nancy’s nut store sells peanuts for $2 per pound and cashews for $10 per pound. The store sells a peanut - cashew mixture for $7 per pound. How many pounds of peanuts and how many pounds of cashews should be used to create 40 pounds of the mixture? I’m

Answers

9514 1404 393

Answer:

25 pounds cashews15 pounds peanuts

Step-by-step explanation:

Let c represent the number of pounds of cashews in the mix. Then 40-c is the number of pounds of peanuts. The total cost of the mix is ...

  10c +2(40 -c) = 7(40)

  8c +80 = 280 . . . . simplify

  c +10 = 35 . . . . . . . divide by 8

  c = 25 . . . . . . . . . . subtract 10

  40-c = 40-25 = 15 . . . . pounds of peanuts

25 pounds of cashews and 15 pounds of peanuts should be used in the mix.

A machine produces metal pieces that are cylindrical in shape. A sample of pieces is taken, and the diameters are found to be 1.01, .97, 1.03, 1.04, .99, .98, .99, 1.01, and 1.03 centimeters. Find a 99% confidence interval for the mean diameter of pieces from this machine, assuming an approximate normal distribution. Interpret the interval carefully in the context of the problem

Answers

The Answer is on the bottom of the photo.

PLZ ANSWER I WILL MARK BRAINLIEST

Answers

Step-by-step explanation:

There is a difference between the numbers that is 6

So...

y=6x+5

Answer:

6x+5

Step-by-step explanation:

1 x 6=6+5=11

PLEASE ANSWER ASAP TIMED! A candle shop owner collected data on customers favorite scents as shown in the table. A customer is randomly selected. If the probabilities of a customer choosing floral and coconut as their favorite scents are the same what is the value of the missing probabilities? Inside the chart lavender 0.31 vanilla 0.18 cinnamon 0.23 floral? Coconut? The answer choices are 0.10 0.14 0.20 0.28

Answers

Answer: .14

Step-by-step explanation: 2020 edg

Answer:

.14

Step-by-step explanation:

I just took the test

AB = 5, AP = 4, and DP = 12, then find the length of PC

Answers

Answer:

[tex]PC = 0.333[/tex]

Step-by-step explanation:

Given

[tex]AB = 5[/tex]

[tex]AP = 4[/tex]

[tex]DP =12\\[/tex]

See attachment

Required

Find PC

When two chords intersect, the product of the segments are always equal.

In chord DC, the segments are DP and PC

In chord AB, the segments are AP and PB

So:

[tex]DP * PC = AP * PB[/tex]

This gives:

[tex]12 * PC = 4 * PB[/tex] --- (1)

In chord AB, we have:

[tex]AB = AP + PB[/tex]

Make PB the subject

[tex]PB = AB - AP[/tex]

This becomes

[tex]PB = 5 - 4[/tex]

[tex]PB = 1[/tex]

[tex]12 * PC = 4 * PB[/tex] --- (1) becomes

[tex]12 * PC = 4 * 1[/tex]

[tex]12 * PC = 4[/tex]

Make PC the subject

[tex]PC = \frac{4}{12}[/tex]

[tex]PC = 0.333[/tex]

2.6x + 10.5 = 31.3
I need to find the answer of x whoever gets it correct will get brianliest!

Answers

Answer:

2.6x + 10.5 = 31.3

Step-by-step explanation:

the correct answer is x=8

Find the measure of 46.
46 = [?]
24°
46

Answers

Answer:

Solution given:

<6+24=180[co- interior angle]

<6=180-24=156°

<6=156°

Same side interior angles are supplementary

<6+24=180<6=180-24<6=156°

The City of Minneapolis is deciding whether to install a stoplight or a stop sign at a very dangerous intersection. Every time a car goes through the intersection, it either is safe, gets in a minor accident, or gets in a major accident. The stoplight would prevent crashes more often, but they would be more costly if they did occur.
The City of Minneapolis performs 800800800 simulations of a car going through the intersection with a stoplight and with a stop sign. Once they decide whether to install a stoplight or a stop sign, they expect 400040004000 cars to travel through the intersection in the next year.
What is the expected damage at this intersection in the next year if the City of Minneapolis installs a stoplight? \$$dollar sign
What is the expected damage at this intersection in the next year if the City of Minneapolis installs a stop sign? \$$dollar sign
To minimize the expected damage, The City of Minneapolis should install a

.
(If necessary, round your answers to the nearest dollar.)
The following table shows damage from each type of accident depending on whether the City of Minneapolis installs a stoplight or a stop sign.
Stoplight Stop sign
Major accident \$900$900dollar sign, 900 \$700$700dollar sign, 700
Minor accident \$600$600dollar sign, 600 \$200$200dollar sign, 200
The following table shows the results from the traffic simulation.
Car result Stoplight Stop sign
Major accident 151515 191919
Minor accident 242424 313131
No accident 761761761 750750750
Total 800800800 800800800

Answers

Answer:

Stoplight (75*$900) + (120*$600) + (3805 * $0) = $139500

Stopsign (95*$700) + (155*$200) + (3750* $0) = $97500

Step-by-step explanation:

To minimize damage, a stop sign should be installed.

Part C
How many cubic blocks are needed to fill the fish tank?

Answers

Answer:

[tex]2\frac{2}{3}[/tex] cubic blocks

Step-by-step explanation:

The given parameters are:

[tex]Length = \frac{1}{2}yd[/tex]

[tex]Width = 16yd[/tex]

[tex]Height =\frac{1}{3}yd[/tex]

Required

Number of cubic blocks to fill the tank

To do this, we simply calculate the volume of the tank by:

[tex]Volume = Length * Width * Height[/tex]

This gives:

[tex]Volume = \frac{1}{2} * 16 * \frac{1}{3}[/tex]

[tex]Volume = \frac{16}{6}[/tex]

Simplify

[tex]Volume = \frac{8}{3}[/tex]

Express as mixed numbers

[tex]Volume = 2\frac{2}{3}yd^3[/tex]

What is the magnitude of -10 + 24i?

this is for a unit over complex numbers on a p e x​

Answers

Answer:

The magnitude of the number is of 26.

Step-by-step explanation:

Magnitude of a complex number:

A complex number has the following format: a + bi

In which a is the real coefficient and b is the imaginary coefficient.

The magnitude of the number is:

[tex]\sqrt{a^2+b^2}[/tex]

What is the magnitude of -10 + 24i?

For this number, a = -10, b = 24. So

[tex]\sqrt{a^2+b^2} = \sqrt{(-10)^2+24^2} = \sqrt{676} = 26[/tex]

The magnitude of the number is of 26.

Other Questions
culture of honey bees is called .a)pisciculture b)apiculture c)sericulture d)none HELPPPPP PLZ ITS 6TH GRADE MATH20b2b+3b+x Pls help me by telling me whether this sentence is in pass compos and whether it makes proper grammatical sense Cheryls fish tank is 2 yards long by 24 inches wide by 3 feet high. What is the volume of Cheryls tank in cubic inches? The distance around one block in Ava's neighborhood is 3/4 mile. If Ava rides her bike around the block 5 times, how many miles does she ride Which of the following scenarios is an example of a concern related to ergonomics? A. Tanesha disposes of a used needle in a regular trash can. B. Dan doesn't check a new patient's identification before taking him to the exam room. C. Claudia's back hurts after she helped lift a patient from his bed. D. Darius forgets to wash his hands before applying his surgical gloves. A number is added to of itself.If the same number is doubled,write down the final expression. Type the correct answer to the question,(1 point per question)1. To express that something is pleasing to someone we use the verb2. I like lobster. -gusta la langosta3. You (singular, familiar) like salmon,-gusta ol salmn4. I like ribs. - Molas costillas,5. I like fruit. - Mela fruta6. Mo gustool(bacon) Which fractions are equivalent to the fraction below? Check all that apply.9/21A.3/22B.18/42C.3/7D.3/28 Find the missing angle in a triangle with the given sides. What is Inter-Agency Cooperation? make questions for these tenses1) Past continuous2) Simple Future3) Future continuous4) Future perfect(make only a sentence for each)Please do not answer from linksPlease answer correctly.will give the brainliest! "Both of us got to be just like Joe Louis toward the end" is an example of... *metaphorpersonificationalliterationallusion Read the sentences. Oranges are orange and sweet. __________, lemons are yellow and sour. Which transition phrase best fits in the blank space? What is0.4 expressed as a fraction in simplest form? Why did the U.S. fail to win the Vietnam War? What are the characteristics of vitamins and minerals? (Select all that apply.)They help your immune system fight disease.They are produced inside the body.They are gained by the body by eating.They help the body get energy. Which of the following are shown in karyotypes? asex chromosomes bhomologous chromosomes cautosomes dall of the above Cost of Normal Spoilage Frieling Company installs granite countertops in customers' homes. First, the customer chooses the particular granite slab, and then Frieling measures the countertop area at the customer's home, cuts the granite to that shape, and installs it. The Tramel job calls for direct materials of $1,900 and direct labor of $500. Overhead is applied at the rate of 140 percent of direct labor cost. Unfortunately, one small countertop breaks during installation and Frieling must cut another piece and install it to properly complete the job. The additional rework required direct materials costing $400 and direct labor costing $100. Assume that the spoilage was due to carelessness by a Frieling worker and it is considered to be normal spoilage.Required:1. Calculate the cost of the Tramel job.2. Make any needed journal entry to the overhead control account.3. What if the additional rework required $200 of direct labor? What would be the effect on the cost of the Tramel job? 3. Using the equation: A= 10 log B, if A = 180, solve for B.PLEASE HELP GIVING BRAINLIEST