La probabilidad de que el estudiante A apruebe un examen de MM-100 es 0.6, la probabilidad de que apruebe un estudiante B es 0.4 y la probabilidad de que ambos estudiantes aprueben es 0.3. ¿Cual es la probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.?

Answers

Answer 1

Answer:

0.5 = 50% probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.

Step-by-step explanation:

La probabilidad condicional :

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

En el cual:

P(B|A) es la probabilidad de que ocurra el evento B, dado que A sucedió.  

[tex]P(A \cap B)[/tex] es la probabilidad de que ocurran tanto A como B.  

P(A) es la probabilidad de que ocurra A.

En esta pregunta :

Evento A: Estudiante A aprueba.

Evento B: Estudiante B aprueba.

La probabilidad de que el estudiante A apruebe un examen de MM-100 es 0.6

Entonces [tex]P(A) = 0.6[/tex]

La probabilidad de que ambos estudiantes aprueben es 0.3

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

¿Cual es la probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3}{0.6} = 0.5[/tex]

0.5 = 50% probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.


Related Questions

PLEASEEE HELPPP I NEEDD HELPP WITH THISSS!

Answers

Answer: The answer is 27.04 square inches.

Explanation: The area of a square can be calculated by multiplying the length of a side by the length of a side.

Answer:

27.04 in^2

Step-by-step explanation:

hope this helps! :)

help me please!!!!!!!

Answers

Answer:

I have no idea.

Step-by-step explanation:

I failed geometry.

Solve the equation
6.4g + 8= 1.4g + 38
Find the Value of G
Explain how you can check that the value you found for g is correct. If your check does not​ work, does that mean that your result is​ incorrect? Explain.

Answers

Answer:

g=6

Step-by-step explanation:

6.4×6-1.4×6=

38.4-8.4=30

its true if it is not the result is incorrect

Plz, help I will give brainiest to the correct answer!

Answers

Answer:

A is correct.

Step-by-step explanation:

help pls will mark brainliest if it is correct, its not 72.

Answers

Answer:

52

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

The top has 6 faces, so 6 x 2 = 12

The bottom has the same, 12

The left side has 3, 3 x 2 = 6

The front and inside has 6, x 2 = 12

The right side has 2 x 2 = 4

The back has 3 x 2 = 6

12 + 12 + 6 + 12 + 4 + 6 = 52

If f(x) = 2x - 1 and g(x) = x^2 - 3x - 2, find (f + g)(x).​

Answers

Answer:

SEE attched pic

Step-by-step explanation:

Download symbolab

Plz answer in (x,y).

Answers

3(3x + y = 1/3) ➡️ 9x + 3y =1

9x + 3y = 1 (3/3) Add together
2x - 3y = 8/3

11x = 11/3 divided by 11

x = 1/3

2x - 3y = 8/3 Find y

2(1/3) - 3y = 8/3 Plug in x

(2/3) - 3y = 8/3 Subtract 2/3
-2/3 -2/3

-3y = 6/3 Divided by -3

y = -2/3

(x , y) ➡️ (1/3 , -2/3)

Consider the following system of equations. Line 1: x + y = -2 Line 2: 3x - y = 2 Part A: The ordered pair (-4, 2) is a solution to O Line 1. O Line 2. o the system of equations.​

Answers

Answer:

  (a)  Line 1

Step-by-step explanation:

The given point is only a solution to the equation for Line 1. This is shown in the attached graph.

__

You can put those values into each equation to see if it is satisfied.

1: -4 +2 = -2 . . . . this equation is satisfied.

2: 3(-4) -(2) = -14 ≠ 2 . . . . this equation is not satisfied

(-4, 2) is a solution to the Line 1 equation only.

3a2 + 2a + 2a2 is equal to​

Answers

Answer:

  5a^2 +2a

Step-by-step explanation:

Like terms are ones with the same exponent of x. They can be combined.

  3a^2 +2a +2a^2

  = (3a^2 +2a^2) +2a

  = (3+2)a^2 +2a

  = 5a^2 +2a

5a² + 2a

Step-by-step explanation:

[tex] ⇒ \: \rm 3 {a}^{2} + 2a + 2 {a}^{2} [/tex]

[tex]⇒ \: \rm(3 + 2) {a}^{2} + 2a[/tex]

[tex] \rm ⇒ \: 5 {a}^{2} + 2a[/tex]

Evaluate the function f(x) = â€""2x2 â€"" 3x 5 for the input value â€""3. â’22 â€""4 2 32.

Answers

The equivalent value of the function f(x) = –2x^2 – 3x + 5 if x = -3 is -4

We are to evaluate the function f(x) = –2x2 – 3x + 5 for the input value –3.

Given the function:

f(x) = –2x^2 – 3x + 5

For x = -3, we will have to substitute x = -3 into the expression to have:

f(-3) = –2(-3)^2 – 3(-3) + 5

f(-3) = -2(9) + 9 + 5

f(-3) = -18 + 14

f(-3) = -4

Hence the equivalent value of the function f(x) = –2x^2 – 3x + 5 if x = -3 is -4

Learn more on functions here: https://brainly.com/question/10439235

Help me ;-;

Find (2)(‐3)

Answers

-6
Would be your answer

Hey guys please give me the correct answer.

Answers

Step-by-step explanation:

-5 - 2x < - 4

Bringing like terms on one side

-2x < - 4 + 5

-2x < 1

x < - 1/2

Option none is the correct answer

Janice puts a fence around her rectangular garden. The garden has a length that is 9 feet less than 3 times its width. What is the perimeter of Janice's fence if the area of her garden s 5,670 square feet?

Answers

Answer:

P = 342 ft

General Formulas and Concepts:

Pre-Algebra

Evaluations

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Distributive Property

Algebra I

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Terms/Coefficients

Factoring/Expanding

Quadratics

Solving quadratic equationsStandard Form: ax² + bx + c = 0

Geometry

Area of a Rectangle Formula: A = lw

l is lengthw is width

Perimeter of a Rectangle Formula: P = 2w + 2l

l is lengthw is width

Step-by-step explanation:

Step 1: Define

Identify variables.

A = 5670 ft²

"Length that is 9 feet less than 3 times its width" → l = 3w - 9

Step 2: Find w

Substitute in variables [Area of a Rectangle Formula]:                                w(3w - 9) = 5670[Distributive Property] Expand:                                                                      3w² - 9w = 5670[Subtraction Property of Equality] Rewrite [Standard Form]:                      3w² - 9w - 5670 = 0[Quadratic] Factor:                                                                                          3(w - 45)(w + 42) = 0[Quadratic] Solve [Find roots]:                                                                      w = -42, 45

Since length/width cannot be negative, we know that w = 45 ft.

Step 3: Find l

Substitute in w [Length Formula]:                                                                   l = 3(45) - 9[Order of Operations] Evaluate:                                                                       l = 126 ft

Step 4: Find Perimeter

Substitute in variables [Perimeter of a Rectangle Formula]:                        P = 2(45 ft) + 2(126 ft)[Order of Operations] Evaluate:                                                                      P = 342 ft

∴ The perimeter of Janice's fence is 342 ft.

Let width be x ft

Length be 3x-9ft

Now

Area=Length ×Breadth5670=x(3x-9)5670=3x²-9x3x²-9x-5670=0

On solving we wI'll get x=-42,45

Take it positive

x=45width=45ftLength=3(45)-9=135-9=126ft

Now

Perimeter

2(Length+Width)2(45+126)2(171)342ft

help please!
i can't figure it out.

Answers

Answer:

35

Step-by-step explanation:

8 + 27 would give us 35

We add the negative since it starts from there and works it's way up.

A furniture store donated a percentage of every sale to hospitals. The total sales were ​$7,125 so the store donated ​$570. What percent of 7,125 was donated to hospitals

Answers

Answer:

8%

Step-by-step explanation:

570 / 7125 =  x / 100

Cross multiply

570 * 100 = 7125x

57000 = 7125x

Divide each side by 7125

8 = x

Last season, your
favorite basketball
team won 20 games. This
season, your favorite
basketball team won 31
games. What is the
percent change in the
number of games that
your favorite team won
from last season to this
season?

Answers

Answer:

55%

Step-by-step explanation:

The percent change formula is written like this:

[tex]|\frac{change - original }{original}|[/tex]. In this scenario, the "change" or new value is 31, because it is this season, and the original is last season. Now, 31-20 = 11, and 11/20 = 55%.

A system of two equations is shown below:

Equation C: a = 2b + 7
Equation D: a = 5b − 3

What value of a can be substituted into equation D to solve the system of equations?

2b
5b
5b − 3
2b + 7

Answers

Answer:

25452664637378381234

Answer:

2b+7

Step-by-step explanation:

sorry for the dimwit who typed random numbers

Solve |6x + 3| = 27.
A. x = 4 and x = -5
B. x = -4 and x = -5
C. x = -4 and x = 5
D. x = 4 and x = -4.

Answers

Answer:

it's d

.

hope I helped! I need to write more words so I can send this

Answer:

The answer is A

Step-by-step explanation:

|6x + 3| = 27

Use the definition of absolute value

6x + 3 = 27

6x + 3 = -27

Subtract three from both sides of the equation.

6x = 24

6x = -30

Divide both sides by 6.

x = 4

x = -5

So:

x = 4, -5

HRLP ME PLEASE BRO PLEASE ALL I NEED IS THE ANSWER

Answers

Answer:
It’s the first one

Shanti wrote the predicted values for a data set using the line of best fit y = 2. 55x â€" 3. 15. She computed two of the residual values. A 4-column table with 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled given with entries negative 0. 7, 2. 3, 4. 1, 7. 2. The third column is labeled predicted with entries negative 0. 6, 1. 95, 4. 5, 7. 2. The fourth column is labeled residual with entries negative 1, 0. 35, a, b. What are the values of a and b? a = 0. 4 and b = â€"0. 15 a = â€"0. 4 and b = 0. 15 a = 8. 6 and b = 14. 25 a = â€"8. 6 and b = â€"14. 25.

Answers

The residual of a regression is the difference between the actual value and the predicted value

The values of (a) and (b) are -0.4 and 0, respectively.

The entries are given as:

x  Given  Predicted    Residual

1    -0.7         -0.6             -1

2   2.3         1.95            0.35

3   4.1           4.5              a

4   7.2          7.2              b

The residual of a line of best fit is calculated using:

[tex]Residual = Actual - Predicted[/tex]

Using the entry headings, the formula would be:

[tex]Residual = Given - Predicted[/tex]

To calculate the value of (a), we make use of entry (3).

So, we have:

[tex]a = 4.1- 4.5[/tex]

[tex]a = -0.4[/tex]

To calculate the value of (b), we make use of entry (4).

So, we have:

[tex]b = 7.2- 7.2[/tex]

[tex]b = 0[/tex]

Hence, the values of (a) and (b) are -0.4 and 0, respectively.

Read more about residuals at:

https://brainly.com/question/4333650

Find the center and radius of the circle x^2+y^2-10x-12y+45=0.

Answers

Answer:

The center is (5, -6) with a radius of r

Step-by-step explanation:

First put the equation in Standard Form for a circle:

(x + a)² + (y + b)² = r²

Now, Group the term

x² + y² - 10x - 12y + 45 = 0

x² - 10x + y² - 12y = - 45

Then, The x and y terms must be perfect squares

x² - 10x + 25 + y² - 12y + 36 = - 45 + 25 + 36

add constant both sides we get,

x² - 10x + 25 + y² - 12y + 36 = 16

Now, Simplify

(x - 5)² + (y + 6)² = 16

√(x - 5)² + (y + 6)² = √16

x - 5 + y + 6 = 4

Here, (a,b) = (5, -6) and = 16, with r = 4

Thus, The center is (5, -6) with a radius of r

-TheUnknownScientist 72

what is the y intercept of the graph with an equation: 2x-6y=18

Answers

Answer:

2X(34.-98) DE LA YOE

Step-by-step explanation:


Using the scale 1/2 inch = 100 miles, figure out the number
of actual miles represented by 1/4 inches.

Answers

Answer:

  50 miles

Step-by-step explanation:

Multiply the given scale numbers by 1/2 to find your answer:

  1/2 in = 100 mi

  (1/2)(1/2 in) = (1/2)(100 mi) . . . . multiply the ratio values by 1/2

  1/4 in = 50 mi

In ADEF, m must be true?
Plssss need helpppp

Answers

Answer:

E. FD<DE<EF

Step-by-step explanation:

First I needed to find the other angle which I found by adding the two angles that were given.

103 +14 =117

180 - 117= 63

then to find which sides were the longest I looked and the angles and found their corresponding sides.

<D went with side FE

<F went with side DE

<E went with side FD

The smallest angle was <E therefore the smallest side was FD

The middle angle was <F therefore the medium side was DE

The largest angle was <D therefore the smallest side was FE

I hope this helps!!

Please tell me if I have made a mistake enjoy learning from them!!

If I am correct could you please mark me brainliset? I am trying to level up!!

Thank you for your time:)

Hi. I'm kind of confused on this question. Pls help

Answers

Answer:

B is the awnser.

Step-by-step explanation:

cuz it is incorrect.

frrrrrrrrreee points​

Answers

Thanks! :)

Hope you’re having a wonderful day!!
Thank youuuuuuuuuuuuuuu

HELP PLEASE!!
(It’s slope)

Answers

Answer:

Rate of change is correct; it's -3. And when the x-value is 8, the y-value is just a value, not a coordinate point. It's one number. -3 would not be the answer, and i dont know what the answer would be, but it's between greater than -14 and less than -23. Hope this helps!!

Step-by-step explanation:

Im not good at explaining things without it sounding very confusing... sorry.

3 MS Wingate's coffee table is 7 feet wide the length of the coffe table is 8 times the width what is the perimeter of the coffe table?

Answers

It should be 126 because it’s a rectangle and you have to add all the side since it’s perimeter meaning 7x8=56 56x2=112 7x2=14 112+14=126

can someone please help?!

Answers

Answer:

Plot the points (0,0) and (1,3) to make the line.

Step-by-step explanation:

We know that a linear equation is y=mx+b, m is the slope and b is the y-intercept. We can see that the slope is m=3, and there is no b meaning b=0. Since the y-intercept is 0 we can start from the origin (0,0). The slope is 3/1 or known as rise/run. You go up 3 and go right 1, making the second point (1,3). This should work.

Plot /\ABC: B(-1,-1), and C(4,-1)
——JUST LOOK AT PHOTO AND PLEASE HELP

Answers

Answer:

i dont know sry

Step-by-step explanation:

:)

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