According to the general equation for conditional probability, if P(AB) =
4/5
and P(B) = 5/6, what is P(AIB)?
A.15/16
B.35/36
C.8/9
D.24/25

Answers

Answer 1

Answer:

[tex]\sf D. \quad P(A|B)=\dfrac{24}{25}[/tex]

Step-by-step explanation:

General equation for conditional probability

[tex]\sf P(A \cap B)=P(A)\:P(B|A)[/tex]

As we need to find P(A|B) we can rewrite the equation:

[tex]\implies \sf P(B \cap A)=P(B)\:P(A|B)[/tex]

Given:

     [tex]\sf P(A \cap B)=\dfrac{4}{5}[/tex]

     [tex]\sf P(B)=\dfrac{5}{6}[/tex]

Remember that [tex]\sf P(A \cap B)=P(B \cap A)[/tex]

Substitute the given values into the formula:

[tex]\implies \sf P(B \cap A)=P(B)\:P(A|B)[/tex]

[tex]\implies \sf \dfrac{4}{5}=\dfrac{5}{6}\:P(A|B)[/tex]

[tex]\implies \sf P(A|B)=\dfrac{4}{5} \div \dfrac{5}{6}[/tex]

[tex]\implies \sf P(A|B)=\dfrac{4}{5} \times \dfrac{6}{5}[/tex]

[tex]\implies \sf P(A|B)=\dfrac{24}{25}[/tex]


Related Questions

The ocean was a magnet pulling me closer to it.
Group of answer choices

1:hyperbole

2:simile

3:metaphor

Answers

Answer:

Metaphor

Step-by-step explanation:

This is a comparison between the ocean and a magnet, but it did not use like or as, so it is a metaphor.

Answer: The correct answer is 3. metaphor.

Step-by-step explanation:

A hyperbole is an exagerration.

A simile is a comparison used with like or as.

A metaphor is a comparison used without like or as.

Therefore, "The ocean was a magnet pulling me closer to it." includes a metaphor.

yx^-4*(x^2y^4)^-2

Simplify,
Please show work
I’ll give Brainliest

Answers

the answer is 1/x^8y^7

the table below shows the results from a spinner experiment find the probability of spinning a number greater than 2

Answers

Answer:

29/48

Step-by-step explanation:

Total number of spins: 8 + 11 + 17 + 12 = 48

Total number of spins greater than 2: 17 + 12 = 29

p(greater than 2) = 29/48

a cone has a base with a diameter of 60 cm. the height of the cone is 24 cm. what is the approximate volume of the cone? use 3.14 or pi.

Answers

Answer:

22619.47

Step-by-step explanation:

V=π[tex]r^{2}[/tex][tex]\frac{h}{3}[/tex]

=π·30^2·24/3

≈22619.46711

Ariel has a salary of $100,000 in the year 2003 and got a raise of 3.32 % every year. How much money in total will Ariel earn up through the year 2007, to the nearest dollar?

Answers

She would make around $403.315 total through the year 2007.

How many times larger than (6 - 4) is (6 - 4) × 5?

Answers

Answer:

5 times bigger

Step-by-step explanation:

(6-4) = 2

(6-4) x 5 = 10

solve the equation
(x+1)(x+8)=0

Answers

Answer:

x²+9x+8

Step-by-step explanation:

(x)(x+8)+(1)(x+8)

x²+8x + ×+8

x²+9x+8

Hey there!

Answer :

x = -1 or x = -8 ✅

Explanation :

To solve this equation, you have to use the zero product property.

Ifa product of factors is zero, then at least one of its factors is zero.

Which means that either x + 1 = 0 or x + 8 = 0

⇒ x + 1 = 0

Subtract 1 from both sides :

⇒ x + 1 - 1 = 0 - 1

x = -1

OR

⇒x + 8 = 0

Subtract 8 from both sides :

⇒x + 8 - 8 = 0 - 8

x = -8

Therefore, x = -1 or x = -8.

▪️Learn more about the zero product property:

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student can work no more than 23 hours
per week.
2. The tutoring center requires that each
tutor spend at least two hours per week
tutoring.
3. The tutoring center requires that each
tutor spend no more than seven hours pers
week tutoring.

Answers

Answer:

See below ~

Step-by-step explanation:

We need to represent the situations as inequalities.

===============================================================

Students can work no more than 23 hours per week

⇒ Let the hours per week be x

⇒ 'no more than' refers to less than or equal to (≤)

x ≤ 23

=============================================================

Tutors are required to spend at least 2 hours per week

⇒ At least refers to greater than or equal to (≥)

x ≥ 2

============================================================

Tutors should spend no more than 7 hours per week

⇒ As mentioned before, no more than refers to less than or equal to (≤)

x ≤ 7

ae need inequalities

#1

No more than means maximum

h≤23

#2

At least means minimum

h≥2

#3

No more than is maximum

h≤7

Find the value of h(-7) for the function below.

h(x) = 5.7 −19x

A.
0.67
B.
-138.7
C.
-127.3
D.
138.7

Answers

The input value of the function h(-7) for h(x) = 5.7 - 19x is -26.6.

How to find the input value of a Function?

We are given the function;

h(x) = 5.7 - 19x

Thus;

h(-7) = 5.7 - 19(1.7)

h(-7) = 5.7 - 32.3

h(-7) = -26.6

Thus, we conclude that the input value of the function h(-7) is -26.6.

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In an oblique drawing, which surface is shown in its true size and shape and is parallel to the horizon?

top
side
bottom
front

Answers

In an oblique drawing, the surface that is shown in its true size and shape and is parallel to the horizon is the front.

What is the drawing about?

The Position of an object in a drawing is known to be parallel to the plane of projection and the circular shape is true in front plane of the oblique view.

The measurements on the front and oblique faces are known to have all its lengths to be true.

Note also that A pictorial drawing that has the front view of an object parallel to the projection plane and shown its true size and shape is known to be Oblique Drawing.

Therefore, In an oblique drawing, the surface that is shown in its true size and shape and is parallel to the horizon is the front and as such, option d is correct.

Learn more about oblique drawing from

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Find the perimeter of the parallelogram with these vertices. (-5,1) (-5,-4) (5,-2) (5,-7)

Answers

Answer:

10 + 2√109 ≈ 30.88

Step-by-step explanation:

Question 4 of 25
Which of these could be the graph of F(x) = In x + 1?
51
51
5.
H
5
-5
-5-
B
A
5
-5
D
5

Answers

Answer:

fx 8

Step-by-step explanation:

ao the answer ia fx 8 do times

whitch of the following is closest to 8 62 61 65 66

Answers

Answer:

If the question is which is closest to 8, the answer is 61

Step-by-step explanation:

[tex]2h - (6h - 5)= -1[/tex]

Answers

Answer:

[tex]h=\frac{6}{4}[/tex]

Step-by-step explanation:

[tex]2h-(6h-5)=-1\\2h-6h+5=-1\\-4h+5=-1\\-4h=-6\\\boxed{h=\frac{6}{4}}[/tex]

distribute the negative sign to the parenthesiscombine like termssubtract [tex]5[/tex] from both sidesdivide both sides by [tex]-4[/tex]

What is the velocity (speed) of a car (in kilometres per hour) if it goes 40 kilometres in 35 minutes?

A: 70.27 km/hr
B: 67.52 km/hr
C: 68.57 km/hour
D: 69.88 km/hr

Answers

speed = distance / time


35 minutes / 60 minutes = 0.583 hours


speed = 49 km / 0.583 hours

Speed = 68.57 km/hr


answer: C. 68.57 km/hour

What is the slope of the line that contains the points (-2, 2) and (3, 4)?
A -2/5
B 2/5
C 5/2
D -5/2

Answers

Answer:

[tex]B) ~\dfrac 25[/tex]

Step-by-step explanation:

[tex]\text{Given that,} ~ (x_1,y_1) = (-2,2)~ \text{and}~ (x_2 ,y_2) = (3,4)\\\\\text{Slope},~ m = \dfrac{y_2 - y_1}{x_2 -x_1}\\\\\\~~~~~~~~~~~~~=\dfrac{4-2}{3+2}\\\\\\~~~~~~~~~~~~~=\dfrac 25[/tex]

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the slope of the line that contains the points (-2, 2) and (3, 4).

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

Use the slope formula, which is given below:

[tex]\star~\mathrm{\cfrac{y2-y1}{x2-x1}}[/tex]

Where

y2 and y1 are y-coordinates

x2 and x1 are x-coordinates

Substitute the values:

[tex]\star~\mathrm{\cfrac{4-2}{3-(-2)}}[/tex]

Simplify!

[tex]\star~\mathrm{\cfrac{2}{5}}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

help marking brainliest

Answers

Answer:

9-pack

Step-by-step explanation:

Price per roll for 4-pack = Pack price / Number of rolls in pack

= 2.25 / 4

= £0.56 (rounded off to nearest cent)

Price per roll for 9-pack = Pack price / Number of rolls in pack

= 4.50 / 9

= £0.50

From here, we can see the 9-pack is of better value.

12345678910111213141516

Answers

Step-by-step explanation:

oh, come on. you can just use common sense.

a local minimum is a point where the curve goes down to, and then turns around and starts to go up again. that point in the middle, where it turns around and does not go down any further, is the minimum.

for the maximum the same thing applies, just in the other direction (the curve goes up and turns around to go back down again).

a)

the local minimum values (y) are

-2, -1

b)

the values of x where it had these minimum values are

-1, +3

Jessica has a penny and a nickel. She flipped both coins. What are the chances that both coins land on tails?

Answers

Answer:

Step-by-step explanation:

Here is a list of possible outcomes.

Penny      nickel

Heads      heads

Heads       tails

tails            Heads

tails            tails

Since there are four ways the two coins can land, the chances of getting tails - tails is 1 chance in 4.

Answer: The answer is C 1/4

the sum of interior angle of a regular Pentagon in 540 degree find the interior angle

Answers

Answer:

108°

Step-by-step explanation:

A regular pentagon has five interior angles of the same measure.

Then

An interior angle has a  measure of :

540/5 = 108°

Hello, the answer should be [tex]108^o[/tex].

The interior angle of any shape formula, if the geometric shape is regular and the sum of interior angle is known, can be written as;

[tex]Interior=\frac{Sum(angles)}{Side}[/tex]

Regular pentagon has 5 sides.

The sum of interior angles of regular pentagon is [tex]540^o[/tex].

[tex]Result=\frac{540^o}{5}=108^o[/tex]

Good luck! If you have any question(s), then feel free to ask in comments.

I am thinking of a secret number. 12 is a factor of my number. Suggest three other factors of my number.​

Answers

Answer:

Let us assume your secret number is 12, and we can simply write down ALL the factors of 12:

1, 12

2, 6

3, 4

16-
15-
14-
13-
12-
11-
65
Distance (meters)
1698
master bedroom
living room
2nd bedroom.
X
0 1 2 3 4
5
6
7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 2
Distance (meters)
What is the area of the kitchen floor in this floor plan?
6 5
y
4
3
2-
0
kitchen
entry-
bath

Answers

Answer:

[tex]\huge\bold\color{pink}{- Magdonal -}[/tex]

Gamitin mo utak mo bleh

[tex]\red{\rule{10pt}{999999pt}}\orange{\rule{10pt}{999999pt}}\green{\rule{10pt}{999999pt}}\blue{\rule{10pt}{999999pt}}\purple{\rule{10pt}{999999pt}}[/tex]

If anyone know how to solve this please help!!
this my last slide to finish
solve this please!!

Answers

Answer:

Area=18ft^3 Surface Area=44ft^2

Step-by-step explanation:

The formula for area of a rectangular prism is A=lwh. So you just plus that in

Answer:

Volume = 18 cubic feet
Surface Area = 44 square feet
Double width = Double the space

Step-by-step explanation:

Please see attached explanations.

Surface area is the area (one side multiplied by another) of every side of the storage box, added together.
I have labeled each unique pair of sides as a, b, and c. That is top and bottom, left and right side, and front and back side.

Volume is the length multiplied by the width multiplied by the height.

By doubling the width, you are doubling the size of the box in that given direction. You can prove this mathematically by making the width twice of what it was and finding volume again.

What is the measure of angle ACB
What is the measure of the arc from A to B not passing through C?

Answers

Answer:

Angle ACB: 28
Arc AB: 56

Explanation:
- To find AB, the angle of BOA is a central angle. And its according arc is AB. The angle is always the same as the arc as long if its a central angle.

- Angle ACB is an inscribed angle. Its according arc is AB. Whenever its an inscribed angle, its half of its arc.
56 / 2 = 28

Pls helpDetermine the area, in square units, of rectangle ABCD.

Enter the area of rectangle ABCD.

Answers

The area of the rectangle, as shown in the image given is calculated as: 48 square units.

What is the Area of a Rectangle?

The area of a rectangle = length × width.

Find the length and width of the rectangle:

Length (BC) = 8 unitsWidth (AB) = 6 units

Area of rectangle ABCD = 8 × 6 = 48 square units.

Learn more about area of a rectangle on:

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if a is factor of x what is the other factor​

Answers

Answer:

x because say you have a prime number, 7, a will equal 1 and the other factor is 7 so it must be x

Answer:

[tex]\dfrac xa[/tex]

Step-by-step explanation:

[tex]\text{Let the other factor be k,}\\\\~~~~~~~a \times k =x\\\\\implies k = \dfrac x a\\\\\text{Hence, the other factor is}~ \dfrac xa[/tex]

what is the coordinate of the vertex for the following prabola: (x-10)^2 = 12(y+2)

Answers

Answer:

Hi,

Step-by-step explanation:

[tex](x-10)^2=12(y+2)\\y=\dfrac{(x-10)^2}{12}-2\\y'=0 == > 2(x-10)/12=0 == > x=10 == > y=-2\\\\Vertex\ is\ (10,-2)\\[/tex]

Find the median of the following data : 9, 15, 17, 18,6, 20, 8, 5, 18, 18, 10, 5, 14, 12, 10, 7

A. 15
B. 18
C. 12
D. 11

Answers

Answer:

The median is 11.

Explanation:

Add the middle values to calculate the mean, then divide this by 2. That gives you 11.

Median is 11.

The median is what is in the middle of a data set.

Once you put the numbers in the data set in order you with see that there are 2 numbers in the middle.

When this happens all you have to do is find out what’s in the middle of those two numbers.

The number in between 10 and 12 is 11.

Therefore the answer is D.

How many different selections of 4 books can be made from a bookcase displaying 12 books?

Answers

Answer:

495

Step-by-step explanation:

12C4 = 12*11*10*9/(4*3*2*1) = 495

Answer:

495

Step-by-step explanation:

12C4 = 12*11*10*9/(4*3*2*1) = 495

The graph of y=x is shifted up 2 units and 3 units to the left. Which is the equation of the translated function?

Answers

Check the picture below.

[tex]y = x\implies y = \stackrel{A}{1}(\stackrel{B}{1}x+\stackrel{C}{0})+\stackrel{D}{0} \\\\\\ \begin{cases} \stackrel{\textit{2 units up}}{D=+2}\\\\ \stackrel{\textit{3 units left}}{C=+3}\\ B=1 \end{cases}\qquad \implies y = \stackrel{A}{1}(\stackrel{B}{1}x\stackrel{C}{+3})\stackrel{D}{+2}\qquad \implies y=(x+3)+2[/tex]

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