According to​ Bayes' Theorem, the probability of event​ A, given that event B has​ occurred, is as follows.
Upper P left parenthesis Upper A vertical line Upper B right parenthesis equals StartFraction Upper P left parenthesis Upper A right parenthesis times Upper P left parenthesis Upper B vertical line Upper A right parenthesis Over Upper P left parenthesis Upper A right parenthesis times Upper P left parenthesis Upper B vertical line Upper A right parenthesis plus Upper P left parenthesis Upper A prime right parenthesis times Upper P left parenthesis Upper B vertical line Upper A prime right parenthesis EndFraction
Use​ Bayes' Theorem to find Upper P left parenthesis Upper A vertical line Upper B right parenthesis using the probabilities shown below.
Upper P left parenthesis Upper A right parenthesis equals one fourth
​, Upper P left parenthesis Upper A prime right parenthesis equals three fourths
​, Upper P left parenthesis Upper B vertical line Upper A right parenthesis equals one tenth
​, and Upper P left parenthesis Upper B vertical line Upper A prime right parenthesis equals one half

Answers

Answer 1

Answer:

0.0625

Step-by-step explanation:

Data

P(A) = 1/4P(A') = 3/4P(B|A)= 1/10P(B|A') = 1/2

The probability of event​ A, given that event B has​ occurred is computed with the following equation:

P(A|B) = [P(A)*P(B|A)]/[P(A)*P(B|A)+P(A')*P(B|A')]

Replacing with data:

P(A|B) = [1/4*1/10]/[1/4*1/10+3/4*1/2] = 0.0625

Answer 2

Answer:5.17%

Step-by-step explanation:


Related Questions

Calcula la hipotenusa de un triángulo rectángulo, cuyos catetos miden 24 dm y 20 dm, respectivamente.

Answers

Answer:

31.2 dm

Step-by-step explanation:

Podemos calcular a hipotenusa do triángulo empregando a regra de Pitágoras:

[tex]h^2 = a^2 + b^2[/tex]

onde h = hipotenusa

a = unha perna do triángulo

b = outra perna do triángulo

Polo tanto:

[tex]h^2 = 20^2 + 24^2\\\\h^2 = 400 + 576\\\\h^2 = 976\\\\h = \sqrt{976}\\ \\h = 31.2 dm[/tex]

A hipotenusa é de 31,2 dm

Do masks increase or decrease the sales of breath mints?

Answers

increase, because people hate mask breath and having mints has helped them not having to smell horrible breath whilest wearing a mask
Increase because many people have bad breaths regardless. However with the masks you’re able to smell it more.

Jerri says that a square is a rhombus because it has 4 equal sides. Brianna says that a square is a parallelogram because it has two pairs of parallel sides. Who is correct? Explain.

Answers

Answer:

Both are correct.

Step-by-step explanation:

A square is a rhombus because it has 4 equal sides but it also has two pairs of parallel side which therefore makes it a parallelogram as well.

Which of the following is equal to the rational expression when x ≠ -6 ?

Answers

Answer:

X-6

Step-by-step explanation:

Just did this one

This scatter plot shows the relationship between students’ scores on the first exam in a class and their corresponding scores on the second exam.

Which of the following is the best estimate of the average change in the score on exam 2 associated with a 1 point increase on the score on exam 1?

A) 1/4 point
B) 1/2 point
C) 1 point
D) 2 points

Please explain your answer

Answers

Answer:

D) 2 points

Step-by-step explanation:

Compare a couple of points in the clumps of points and that is your answer

Find the values of a and b that make the second expression equivalent to the first expression. Assume that x > 0 and y ≥ 0. StartRoot StartFraction 126 x y Superscript 5 Baseline Over 32 x cubed EndFraction EndRoot = StartRoot StartFraction 63 y Superscript 5 Baseline Over a x Superscript b Baseline EndFraction EndRoot a = and b =

Answers

Answer:What was done from the first to the second equation was that the fraction was simplified. 126 and 32 have a common factors of 2. 

126/32=(63*2)/(16*2)

The 2s in the top and bottom can cancel out, leaving the fraction 63/16. 

In addition, since there are x terms on the top and bottom, they cancelled out as well. 

x/x^3=1/x^2

This leaves an x^2 term on the bottom. 

Thus, if a is 16, and b is 2, you will have an equivalent form of the fraction.

Step-by-step explanation:

Answer:

A=16 & B=2

Second part is B

Step-by-step explanation:

;)

please help me ! :)

Answers

Answer:

B. (6, 5)

Step-by-step explanation:

On the 4th row of the table, we see 6 in the x column and 5 in the y column. This makes the point (6, 5).

No other answer choices match up to the points in the table.

I hope this helps :))

the answer is B (6,5)

plz do both ill mark u brainliest

Answers

Answer:

1. C

2. A

Step-by-step explanation:

Hope these are right!

Answer:

Question 16's answer is choice B. divide both sides by 6

Step-by-step explanation:

6a=27

You need to get the variable by it's self so you need to divide both sides by 6 because the 'a' is being multiplied by 6 on the left side.

Answer:

Question 25's answer choice is B. 5

Step-by-step explanation:

1 3/4 + 5/6 =

7/4 + 5/6 =

21/12 + 10/12 = 31/12 = 2 7/12 = round to nearest whole number 3 so about three pizzas were eaten! so subtract 3 from 8 to get 5 pizzas left! :)

Good luck! Have a great day! Hope this helps!

(SHORT ANSWER IS BOTH QUESTIONS ARE B) LOL! ;)

Does anyone understand this

Answers

The answer is no because their different sizes

The table represents a linear equation.
Which equation correctly uses point (-2, -6) to write the
equation of this line in point-slope form?
х
-4
-2
6
10
y
-11
-6
14
24
O y-6 = {(x - 2)
Oy- 6 = {(x - 2)
O y +6 = }(x + 2)
Oy+6 = (x + 2)

Answers

Answer:

y + 6 = 5/2(x + 2)

Step-by-step explanation:

The equation of the line passing through given points in point-slope form is y + 6 = (5/2)(x + 2). The correct answer is an option (C).

What is the slope of the line?

The slope of a line is defined as the gradient of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

Using the given points (-2, -6) and (6, 14), we can calculate the slope as:

slope = (14 - (-6)) / (6 - (-2))

= 20 / 8

= 5/2

Now, we can use the point-slope form of a line:

y - y₁= m(x - x₁)

where m is the slope and (x₁, y₁) is the point on the line. We can choose either of the given points to be the point on the line. Let's choose (-2, -6).

So, the equation of the line in point-slope form is:

y - (-6) = (5/2)(x - (-2))

Simplifying this equation gives us:

y + 6 = (5/2)(x + 2)

Therefore, the equation of the line passing through given points in point-slope form is:

y + 6 = (5/2)(x + 2)

Learn more about the Slope of the Line here:

brainly.com/question/14511992

#SPJ7

What is the standard form of y – 8 = 2(x + 3)?

Question 14 options:

a)

y = 2x + 14


b)

2x + y = 14


c)

y – 2x = 11


d)

2x – y = –14

Answers

Answer:

A

Step-by-step explanation:

So first you would distribute the 2

y - 8 = 2x + 6

Then you add 8 to both sides

y = 2x + 14

So your answer is A

Share £639 in the ratio 5:4

Answers

Answer:

The ratios are £355 and £284

Answer:

335: 284

Step-by-step explanation:

£639 in ratio 5:4

5+4 =9

639 / 9 = 71

71 × 5 = 355

71 ×285 =284

355:284

Can someone please help!!

Answers

Answer:

let’s find the area of the circle first.

The formula to find the area of the circle is 3.14 x r^2

3.14 x 0.5^2 = 0.785 cm^2

Lets find the area of the triangle.

the formula to find the area of the triangle is 1/2 x base x height

The height is found if you subtract the square of 5 from the square of 4.

5^2 - 4^2 = 9

the square root of 9 is 3.

1/2 x 8 x 3 = 12 cm^2

lets find the area of the rectangle

length x width

8 x 4.5 = 36 cm^2

then subtract the area of the circle from the area of the rectangle and then add the area of the triangle

36 - 0.785 + 12 = 47.215 (round it off to 47)

Which missing piece of information would allow the triangles in the figure to be proven congruent by AAS? answer: A) ∠C ≅ ∠L B) ∠B ≅ ∠K C) cb ≅ lk D) ab≅ jk

Answers

Answer:

B) ∠B ≅ ∠K

Step-by-step explanation:

The Angle-Angle-Side Postulate (AAS) states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

Given that ∠A ≅ ∠J and AC ≅ JL, then we need that ∠B ≅ ∠K to satisfy postulate AAS (the two angles are ∠A and ∠B in one triangle and ∠K and ∠J in the other one, and the non-included side is AC in one triangle and JL in the other one).

Answer:

A) ∠C ≅ ∠L

Step-by-step explanation: I took the test

Write y + 1 = –2x – 3 in standard form.

Question 15 options:

a)

x + 12y = −2

b)

-2x-y = 4


c)

2x + y = -4


d)

y = -2x-4

Answers

Answer:

d

Step-by-step explanation:

isolate y and evaluate

Answer:

B

Step-by-step explanation:

move the y to the other side and the three to its opposite side

pls help on this question
*image

Answers

Answer:

216 2/3

Step-by-step explanation:

yoys : frents

6   :   13

We have 100 yoys

100/6 =50/3

Multiply by 50/3

yoys      : frents

6 *50/3  :   13*50/3

100         : 650/3

As a mixed number

650/3 frents

216 2/3

What is the graph of g(x)=[x+3]?

Answers

Answer:

last one

Step-by-step explanation:

Answer: The first graph

Step-by-step explanation:

Which of these numbers has the greatest absolute value-3 1 -9 5

Answers

I believe it is the 9, with absolute values the number will always be positive so the absolute value of -9 is 9, which is the greatest out of all the options

i need 29 part b and c please help!

Answers

Answer:

$1.50

Step-by-step explanation:

29 part c

3÷2= 1.50

3 is the cost

and 2 is the cups

for 3 drinks it would cost $1.50

I need help with this question get brailiest

Answers

Answer:

Mini golf: $10.00, batting cage: $2.50

Step-by-step explanation:

We have that 5 mini golf + 4 batting = 60, and 3 mini golf + 6 batting = 45.

Let m=mini golf price, and b=batting cage price.

Then 5m+4b=60 and 3m+6b=45.

We can multiply the first equation by 3 and second by 5 to get

15m+12b=180

15m+30b=225

Subtract the two to get -18b=-45, so b=45/18=$2.50

Then m=$10 if you substitute b back in the first equation.

Hope that helped,

-sirswagger21

Answer:

mini golf10:00 batting cage 2:50

Step-by-step explanation:

Which of the following is equivalent to 0.0009?
A 0.0009%
B 0.009%
C 0.09%
D 0.9%

Answers

Answer:

C

Step-by-step explanation:

If you multiply by 100 u get C

Answer:

C

Step-by-step explanation:

To turn a number into a percentage, you must multiple it by 100.

4a. Classify the triangle below: 1st
name - a. Scalene b. Isosceles c.
Equilateral. 2nd name - a. Acute b.
Obtuse c. Right
4.8
4.8
45°
45°
6.8

Answers

Answer:

Right isosceles

Step-by-step explanation:

We have a right angle so the triangle is a right triangle

We have two sides that are equal so it is an isosceles triangle

Describe the solutions of 6+y<10 in words.
The value of y is a number less than 4.
The value of y is a number equal to 3.
The value of y is a number less than or equal to 3.
The value of y is a number greater than 4.​

Answers

The value of y is a number equal to 3

The diagram shows two sets of vectors that result in a single vector. What are the first two steps for finding the magnitude of the resultant vector?
A. Find the square of the first horizontal vector and the square root of the first vertical vector
B. Find the square root of the first horizontal vector and the square root of the second horizontal vector
C. Find the sum of the two horizontal vectors in the summer for two vertical vectors
D. Find the difference between the two horizontal vectors and the difference between the two vertical vectors

Answers

C. Find the sum of the two horizontal in the summer for two vertical vectors.

Answer:

Can confirm C is right i got 100 on the unit test

Step-by-step explanation:

PLS HELP ITS OK IF U DONT KNOW ONE OF THEM AND IF U HAVE THE WORK PLS PUT IT THANK U!!!

Answers

Answer: I hope it helps

FDHI

Step-by-step explanation:

[tex]y \alpha x\\y= kx (1)\\Make=k-subject-of-the-formula\\\frac{y}{x} =\frac{kx}{x} \\\\\\[/tex]

[tex]k = \frac{y}{x}. \\when-y =3, x= 7 \\k = \frac{3}{7} \\Put - k- = 3/7 -in eq - 1\\y = 3/7x = F \\[/tex]

[tex](4n+3n^2+2)-(n-6n^2+1)\\4n +3n^2+2-n+6n^2-1\\\\3n^2+6n^2+4n-n+2-1\\9n^2+3n+1[/tex]

y = 2x-4

when x= 0

y = 2(0)-4

y =-4

y = 2x - 4

when x = 1

y = 2(1) -4

y = 2-4

y = 2

and so on....

A - Negative - the more slices eaten , the fewer there are

[tex]f(x)= 2x^2 +x-12\\f(3) = 2(3)^2+3-12\\f(3) = 2*9+3-12\\f(3) = 18+3-12\\f (3) = 9[/tex]

Can someone help me with this please!!!

Answers

Answer:

first itself we should do the answer                         and only we can answer it

Step-by-step explanation:

Which of the following is a polynomial?
O A. (° - 4)
(x + 1)
O B. x-2-1
O c. 1+2
O D. x-2

Answers

Here A is the answer because it has more terms i guess

I got a photo of the problem dude I need help I'm in an exam and I am cluelessssss

Answers

Answer:

0.84

Step-by-step explanation:

1 - 0.4(0.4) = 1 - 0.16 = 0.84

Simply take the probability of the the outcome that is not " at least 1 win", which is the probability of 2 losses;

To find the probability multiply the probabilities along the branches.

Answer:

The answer might be 0.84. I hope this helps please tell me if its right or wrong.

Step-by-step explanation:

If r = 6 units and h = 13 units , what is the volume of the cylinder shown above? Use 3.14 for pi

Answers

Answer:

V= 468 * 3.14 = 1.469.52

Step-by-step explanation:

Volume of a cylinder = π r^2 h

  V= 3.14  *6^2 * 13

   V= 1469.52 cubic unit                      

hich number line correctly shows –3 – 1.5? A number line going from negative 4.5 to positive 4.5. An arrow goes from 0 to negative 3 and from negative 3 to negative 4.5. A number line going from negative 4.5 to positive 4.5. An arrow goes from 0 to 3 and from 3 to 4.5. A number line going from negative 4.5 to positive 4.5. An arrow goes from negative 3 to negative 1.5 and from 0 to negative 3. A number line going from negative 4.5 to positive 4.5. An arrow goes from negative 1.5 to 1.5 and from 0 to negative 1.5.

Answers

Answer:

#1

Step-by-step explanation:

#1)-3-1.5

you go 3 units left from zero to get to -3

then, you go 1.5 units to the left of -3,

thus getting to -4.5,

#2) in #2 you went to the right to 3 and 4.5, but dude, it is subtraction, so, it should go the opposite way...wrong

#3) you can't change to order of the things in subtraction like in addition, so #3 is wrong answer of 3

#4) like in # 3, you have to go from 0 to (-3)   3 units to the left first, also you go from -3 to -4.5 1.5 units to the left, not -3 to -1.4 -4.5, which makes no sense, steps shown incorrectly to get any single answer at all

#5) you go from -1.5 to 1.5 , then from 0 to -1.5, same as in 4, 3, and 2 you will never get to -4.5, but same as 4 not get any single answer at all

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