1. Transplant operations have become routine. One common transplant operation is for kidneys. The most dangerous aspect of the procedure is the possibility that the body may reject the new organ. There are several new drugs available for such circumstances and the earlier the drug is administered, the higher the probability of averting rejection. The New England Journal of Medicine recently reported the development of a new urine test to detect early warning signs that the body is rejecting a transplanted kidney. However, like most other tests, the new test is not perfect. In fact, 20% of patients that experience kidney rejection and 9% of patients that do not experience kidney rejection receive a test result that proves to be incorrect. Physicians know that in about 30% of kidney transplants the body tries to reject the organ. If the new test has a positive result (indicating early warning of rejection), what is the probability that the body is attempting to reject the kidney?

Answers

Answer 1

Using conditional probability, it is found that there is a 0.7921 = 79.21% probability that the body is attempting to reject the kidney.

Conditional Probability

[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 problem:

Event A: Positive test.Event B: Body attempting to reject the kidney.

The percentages associated with a positive test are:

80% of 30%(experience kidney rejection).9% of 70%(do not experience kidney rejection).

Hence:

[tex]P(A) = 0.8(0.3) + 0.09(0.7) = 0.303[/tex]

The probability of both a positive test and the body attempting to reject the kidney is:

[tex]P(A \cap B) = 0.8(0.3) = 0.24[/tex]

Hence, the conditional probability is:

[tex]P(B|A) = \frac{0.24}{0.303} = 0.7921[/tex]

0.7921 = 79.21% probability that the body is attempting to reject the kidney.

A similar problem is given at https://brainly.com/question/25553471


Related Questions

Evaluate the expression 9+9+2​

Answers

Answer:

20

Step-by-step explanation:

9+9+2​=20

Hope this helps :)

Answer: 20

Step-by-step explanation:9x2=18 +2=20 or 9+9=18+2=20

let's substract : (2x + 3y) from (8x + 6y)​

Answers

The answer is 3(2x+y)

[tex]\huge\mathfrak\pink{answer} [/tex]

3. Sandra earns P62,954 per month. Determine the following Percentage Amount of Deduction Whld Tax 24% SSS 1.4% Philhealth 1.1% SSS 1.4% Pag-ibig 0.2% Total Deduction Net Pay​

Answers

Sandra's total deductions are $16,808.71, and her net pay is $46,145.29.

Given that Sandra earns $ 62,954 per month, to determine the percentage of deductions the following calculations must be performed:

Withhold Tax 24% 62,954 x 0.24 = 15,108.96  SSS 1.4% 62,954 x 0.014 = 881.35  Philhealth 1.1% 62.954 x 0.011 = 692.49  Pag-ibig 0.2% 62.954 x 0.002 = 125.90  Total Deduction = 15,108.96 + 881.35 + 692.49 + 125.90 = 16,808.71 Net Pay = 62,954 - 16,808.71 = 46,145.29

Therefore, Sandra's total deductions are $16,808.71, and her net pay is $46,145.29.

Learn more about quantities in https://brainly.com/question/25716934

y= -6x + 1/2


PLEASE I NEED THE ANSWER AND EXPLANATION

Answers

Answer:

m = -6 (slope)

b = (1/2)

The Y posistion is (0, 0.5) and the slope of the graph is -6/1 (down 6, right 1).

Some examples of where the line is could be:

(1, -5.5)

(-1, 6.5)

Q

1). 20² + 20^2

nt : I from is Indonesian ​

Answers

Answer:

[tex]\red{\rule{4pt}{700000pt}}[/tex]

Step-by-step explanation:

hi

Jeanine Baker makes floral arrangements. She has 22 different cut flowers and plans to use 6 of them. How many different selections of the 6 flowers are​ possible?

Since the order of the flowers does not​ matter, this is a combination of 22 things taken 6 at a time.

Answers

Answer:

16

Step-by-step explanation:

is 0.667 elastic or inelastic?​

Answers

Answer:

inelastic is the answer

keep safe

URGENT, WILL GIVE BIG BRAIN OR WHATEVER ITS CALLED LOL
For every 1000 hits a YouTub channel gets it makes £2 from ad revenue. a How many hits are required to make £21?​

Answers

Answer: 10,500 hits

Step-by-step explanation:

I WANT BIG BRAIN! I WANT BIG BRAIN AHAHHHHHHH!!!!!!!

ok there are a number of ways to go about this

it is unclear whether or not the YT content creator will get one pound for 500 hits

i honestly dont know but i am going to assume it will

1000 times 20 (we are plugging in a test variable, 20, here)

so lets say we have 20,000 hits

lets divide that by 1000 and we get 20. 20 times 2 is 40 pounds so obviously thats too much

lets try 1000 times 10

so we have 10 times 2 and thats 20 pounds. we are closer

10,500 hits

(i put in 500 because half of 1000 is 500 and that will give you one pound instead of two)

Use properties to evaluate 1/3 (-5 ÷ 1/2 ) 1/4?

A. - 5/2
B. 5/8
C. - 5/8
D. 5/2

Answers

I believe the correct answer is C

Last year 85 students in 7th grade This school year only 68 What is the percent decrease?

Answers

Answer: 11.11%

17:153*100 =

(17*100):153 =

1700:153 = 11.11

Executives for a company that prints logos on products are expanding the company's services to include souvenirs such as hats, shirts, and foam fingers for sports teams. The data they collected from a sample of 300 adults about their favorite sport to watch and their favorite souvenir to buy are shown in the table.​

Answers

Answer:

0.01

Step-by-step explanation:

the number of participants that prefer a t-shirt and prefer soccer is 3, since this is out of 300 we have 3/300 or 0.01

Question 9 of 10 What is the approximate value of x in the diagram below? (Hint: You will need to use one of the trigonometric ratios given in the table.) 54 sin 36 A 0.588 oos 36 x 0.809 ta 369 0.727 23 36° he A. 18.61 B. 13.52 C. 16.72 D. 28.43 E. 31.64 O F. 39.12​

Answers

9514 1404 393

Answer:

  E.  31.64

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation between the legs of a right triangle:

  Tan = Opposite/Adjacent

You are given trig values for 36°. That means ...

  tan(36°) = 23/x

  x = 23/0.727 ≈ 31.64

Find the product using formula ...

formula = ( a + b ) ( a - b )

a) 1.2 × 2.8​​

Answers

Step-by-step explanation:

1.2 × 2.8

(2 - 0.8 )(2 + 0.8)

2² - (0.8)²

4 - 0.64

3.36

Solution:

[tex]\begin{gathered}1.2 \times 2.8 \\ = (2 - 0.8)(2 + 0.8) \\ = {(2)}^{2} - {(0.8)}^{2} \\ = 4 - 0.64 \\ = 3.36\end{gathered}

[/tex]

Answer:

3.36

Hope it helps.

Do comment if you have any query.

A sunflower is 13 inches tall and grows 41 inches each month. The
sunflower's height is a linear function of time. Which statement best
describes the rate of change and initial value of this function?
A. The rate of change is the number of inches grown per month, and
the initial value is the first month.
B. The rate of change is the number of inches grown per month, and
the initial value is the starting height.
C. The rate of change is the starting height, and the initial value is the
number of inches grown per month.
D. The rate of change is the number of months per inch grown, and
the initial value is the first month.

Answers

Answer:The rate of change is the number of inches grown per month, and

the initial value is the starting height.

Step-by-step explanation:

The rate of change is the starting height, and the initial value is the

number of inches grown per month.

What is slope intercept form of line?

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept

Given,

A sunflower is 13 inches tall and grows 41 inches each month.

The sunflower's height is a linear function of time.

A linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.

y=13+41x.

Here x represents the number of months

13 is the initial height of the sunflower.

In the given options, The rate of change is the starting height, and the initial value is the number of inches grown per month is the statement best describes  the rate of change and initial value of this function

Hence, The rate of change is the starting height, and the initial value is the number of inches grown per month

To learn more on slope intercept form click:

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PLEASE HELP WITH THIS ONE QUESTION

Answers

Answer:

Step-by-step explanation:

(2ab^2 + 3c^2) (2ab^2 + 3c^2) = 4a^2b^4 + 6ab^2c^2 + 6ab^2c^2 + 9c^4

= 4a^2b^4 + 12ab^2c^2 + 9c^4

Simplify: 5 + p > 3
p < 8
p < -2
p > 8
p > -2

Answers

Answer:

[tex]p>-2[/tex]

Step-by-step explanation:

[tex]5+p>3\\\\5+p-5>3-5\\\\p>-2[/tex]

Answer:p < -2

Step-by-step explanation:

hello I need help please help me​

Answers

Answer:

1) equation

2) equation

3) expression

4) expression

Step-by-step explanation:

An equation has a result, or something that equals to .

Numbers 1 and 2 have the word "is" which means equaled to, so they are equations. 3 and 4 don't, so they are only expressions.

Hope that helped :)

Step-by-step explanation:

Examples:

[tex]a+4;\ 3b;\ \dfrac{x}{4}-\text{these are the expressions}\\\\x=5;\ c+5=3c;\ p=q-\text{these are the equations}[/tex]

[tex]1.\ n+4=12-\bold{the\ equation}\\\\2.\ 5\cdot n=50-\bold{the\ equation}\\\\3.\ C\cdot 7-\bold{the\ expression}\\\\4.\ 6\cdot(12+t)-\bold{the\ expression}[/tex]

Simplifie -4.9(2+6.2v)

Answers

Answer:

it's 23over 78 and it can reduce

Use the information to complete the Venn diagram. 80 people surveyed on pets they own. 64 people indicated they owned a dog. 34 people indicated they owned a cat and a dog.

Answers

Answer:

34 will go in the middle of the two, 80 is everybody who voted, end 64 is the people that own the dog. No people on the cat

Step-by-step explanation:

there

3. The graph of F(x), shown below,
resembles the graph of G(X)=x2, but
it has been changed somewhat.
Which of the following could be the
equation of F(x)?
1
16
FOX0 = ?
G00= x
5
Answer Choices:
F(X)=-X²+2
F(x)= 3x2 +2
F(x)=2x2 - 2
F(x) = (2x + 2)2

Answers

The number three is correct

The equation of f(x) from the graph if, G(x) = x², is F(x) = 2x² + 3, so option A is correct.

What is a graph?

A graph is a structure made up of a collection of things, where some object pairs are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

here, we have,

Given:

G(x) = x²,

As you can see from the graph, the vertex of the parabola is (0, 3),

Write the equation of a parabola as shown below,

y = a(x - 0)² + 3

y = ax² + 3

Here a is the slope of the parabola,

slope = 4 / 2  (from the graph),

slope = 2

Thus, the equation will be,

y = 2x² + 3 or  F(x) = 2x² + 3

To know more about Graph:

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#SPJ7

what’s the correct answer??? i will give brainlist

Answers

Answer:

yamete kudesai

Step-by-step explanation:

Answer:

I believe it's 2/4.

Step-by-step explanation:

Let me know if it's incorrect.

A carton contains 1.92 liters of milk. There are 8 servings in the carton. How many liters of milk are in each serving?

Answers

Answer:

0.24 liters per serving (240 ml)

Step-by-step explanation:

[tex]1.92/8=0.24[/tex]

equivalent to 240 mililiters

Hope this helps

if c is a positive number, how many solutions does vx=c have?​

Answers

All cases where v and x are both negative or both  positive numbers.

Answers:
A.113 cm^3
B.141 cm^3
C.565 cm^3
D.126 cm^3

Answers

Answer:

  D.  126 cm³

Step-by-step explanation:

The formula for the volume of a cylinder in terms of its diameter can be written as ...

 V = (π/4)d²h

The difference between the volume of the overall cylinder and the volume of the hole is ...

  V = V2 -V1 = (π/4)(d2²)h -(π/4)d1²)h = (π/4)(d2² -d1²)h

  V = (π/4)((6 cm)² -(2 cm)²)(5 cm) = (π/4)(36 -4)(5) cm³ = 40π cm³ ≈ 126 cm³

The volume of the solid cylinder with a hole in it is about 126 cm³.

Dеtеrmіnе tһе domain օf tһе fսnсtіօn f(х) = 2х + 1 ԝһеn tһе range іѕ {-3, 9, 15}.

Answers

☆Answer : f(x) = 2x + 1 Range = (-3, 9, 15)

x = -3 ==> 2(-3) + 1 = (-6) + 1 = -5

x = 9 ==> 2(9) + 1 = 18 + 1 = 19

x = 15 ==> 2(15) + 1 = 30 + 1 = 31

Domain = (-5, 19, 31)

Elijan un lugar de su escuela o de su localidad y elaboren un croquis a escala.
Muestren su trabajo a la clase e indiquen qué escala utilizaron.

Answers

Answer:

Falta informacion para poderlo realizar (   :

Step-by-step explanation:

ZA and B are vertical angles. If mZA = (6x – 11)° and m B = (5x + 4)º,
then find the measure of ZB.

Answers

9514 1404 393

Answer:

  ∠B = 79°

Step-by-step explanation:

Vertical angles are congruent, so you have ...

  6x -11 = 5x +4

  x = 15 . . . . . . . . . . . add 11 -5x to both sides

  5x +4 = 5·15 +4 = 79

The angles measure 79°.

_____

Checkk

  ∠A = 6x -11 = 6·15 -11 = 90 -11 = 79

Kevin buys a bag of cookies that contains 8 chocolate chip cookies, 9 peanut butter cookies, 5 sugar cookies and 4 oatmeal cookies. What is the probability that Kevin randomly selects a chocolate chip cookie from the bag, eats it, then randomly selects an oatmeal cookie

Answers

Answer:

4/13 or 30.769%

Step-by-step explanation:

PLZ HElp 24nanjoshua PLZZZZ

Answers

Answer: 11/14

Step-by-step explanation:

1/7 = 2/14 (when you time 2 at the top and at the bottom)

2/14 + 9/14 = 11/14

Answer - 11/14
Just do 2/14+9/14=11/14

Miss Jurkovac went to Costa Rica for 6 days and saw 42 monkeys. If she saw 84 monkeys, how many days was she there?__________ days

Answers

Answer:

Step-by-step explanation:

6 times 2 is 12

42 multiplied by 2 is 84

therefore the answer is 12 days.

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