Events A and B are such that P(A) = 3 8 , P(B) = 2 7 and P(A ∩ B) = 1 7 Work out P(A|B)

Answers

Answer 1

Answer:

[tex]\frac{17}{27}[/tex]

Step-by-step explanation:

Given: Events A and B are such that [tex]P(A)=38\,,\,P(B)=27[/tex] and P(A∩B) = 17

To find: [tex]P(A|B)[/tex]

Solution:

Probability refers to the chances of occurrence of any event.

An event is described as an outcome of a random experiment.

A random experiment is an experiment for which outcomes cannot be predicted.

[tex]P(A|B)=[/tex] P(A∩B) ÷ P(B) = [tex]\frac{17}{27}[/tex]


Related Questions

Given a set of data with the Regression Line: y = 3.5x + 18.5

What is the residual value for the ordered pair (100, 370)?

Answers

Answer:

1.5

Step-by-step explanation:

[tex]y=3.5*100+18.5=368.5\\rv=370-368.5=1.5[/tex]

how do you simplify 3 1/4 x 3/5 someone please help me

Answers

Answer:

We want to simplify:

(3 + 1/4)*(3/5)

The first step is to write the first term as a single rational number.

We know that:

3*1 = 3

and 4/4 = 1

then:

3*1 = 3*(4/4) = (3*4)/4 = 12/4

We do this because we want to have the same denominator in both numbers, so we can directly add them.

Then we get:

(3 + 1/4)*(3/5) = (12/4 + 1/4)*(3/5) = (13/4)*(3/5)

And remember that in the multiplication of rational numbers the numerator are multiplied together and the same for the denominators, then we get:

(13/4)*(3/5) =  (13*3)/(4*5)

If we solve the multiplications we get:

(13*3)/(4*5) = (39/20)

Now, we can notice that in the numerator we have two prime numbers, 13 and 3.

And in the denominators, we have a 4 (which is equal to 2*2) and a 5.

So the prime numbers in the numerator and the denominator are all different, this means that we can not simplify it furthermore.

Then we have:

(3 + 1/4)*(3/5) = (39/20)

12+2(4+2)*3rd power?

Answers

Answer: 444

Step-by-step explanation:

your welcome have a good day! ^-^

Answer:

444

Step-by-step explanation:

12+2(4+2)^3

12+2(6)^3

12+2(216)

12+432

444

The dimensions of a rectangular field are 16x - 6 and 10x + 12 units. The value of x for which it would be square is______.

Answers

i honestly dont know lol

Solve for x
A
37°
B
74
С
106°
D
53°

Answers

Answer:

A

Step-by-step explanation:

If you look at the circle and the angle that x is at you'll see that x is in the smaller part of the circle

Which equation matches the graph

Answers

Pretty sure it’s c

If I am right pls mark brainliest

Find the slope of the line through the given pair of points.
(-11,-4).(-6,5)

Answers

✍️

The answer is ✊✌️I forgot the answer but hanks for the points

Solve 4t(t - 5) - 2t(3t + 2) + 108 = 3t(2t - 5) -t (8t - 3) .​

Answers

Answer:

the answer is t=9

Step-by-step explanation:

hoped I helped:)

Answer:

t = 9

Step-by-step explanation:

Need the answer please will give brainliest

Answers

Answer:

B.move to the left 4 units then up 7 units.

Brooke and Kaden each sold 15 boxes of cookies for $2.25 per box. How much
money did they collect together? Show your work.

Answers

Answer:

They sold 67.50 in total

Step-by-step explanation:

If each of them sold 15 boxes for 2.25 then both of them got 33.75 each then you add it and that gives you 67.50

if a lemonade recipe calls for juice from 8 lemons for every 4 cups of water which to statements are true

Answers

Can you give more to Thai

HELP ANSWER FAST!!!!!!

Answers

Answer:

D = {-4 ≤ x ≤ 1}

R = {5 ≤ x < 1}

Yes, it is a function

Step-by-step explanation:

What’s the answer !!

Answers

2/6= 1/3
when you reduce 2/6 by 3 you get 1/3.
so your answer is 2/6.

Ms. Rios mowed

2

7

of her lawn. Her son mowed

1

4

of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?
(little sister needs answer)

Answers

Answer: I believe Ms. Rios mowed more, hope this helps!

if a figure is dilated by a factor of 5/6 ,the perimeter of the figure will change by a factor of

Answers

Answer:

1,2,3,6

Step-by-step explanation:

6x1, 2x3, 3x2, 6x1

i study hard and work my hardest

Answer:

5/6

Step-by-step explanation:

The dilation will affect every side by a factor of 5/6

P = 2(w + l)

The perimeter of the image:

P' = 2(5/6w + 5/6l)= 5/6*2(w + l) = 5/6P

The factor will be same: 5/6

can anyone tell me what 3 1/4 looks like as a decimal

Answers

Answer:

3.25

Step-by-step explanation:

Answer: 3.25

Step-by-Step-Explanation: I showed my work below and I hope that helps.

HELP ASAP
Simplified the expression

Answers

Answer:

5/x subscript 2

Step-by-step explanation:

PLS HELP!!! WILL MARK BRAINLIEST!!!!!!!!!

Answers

Answer:

It is  the first square.

Step-by-step explanation:

sorry if  wrong.

Answer:

The answer is

[tex]4b = 40[/tex]

A number decreased by fourteen is equal to eighteen

Answers

Answer: 32

Step-by-step explanation:add 14 to 18

Answer:

32

Step-by-step explanation:

32 is the answer because 18 plus 14 equals 32. And so the number 32 decreased by 14 is 18.

Which graph represents the function?

f(x)=1x−1−2

IS MY ANSWER CORRECT????

Answers

Yes your answer is right

You can use the graph given to form the equation and using the fact that as the denominator goes towards zero, the fraction outputs immensely big magnitude numbers(tending to arbitrarily large numbers)

The equation for the given graph can be:

[tex]f(x) = \dfrac{1}{(x-1)} - 2[/tex]

How to find the function which was used to make graph?

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

Using the graph to form the equation

Since the graph goes to negative infinity as it comes from left side of 1 towards 1, and goes to positive infinity as it comes from the right side of 1, thus, there might be x-1 in denominator which takes the magnitude to infinite and sign to + if x > 1 and to - if x < 1

Now since the graph intersects the y axis at y = -3, thus, we need the function to be such that putting x = 0 in the function  outputs -3 as value of the function.

Thus,

[tex]f(0) = -3[/tex]

Since putting 0 in [tex]\dfrac{1}{(x-1)}[/tex] gives -1 as answer, we have to subtract 2 more.

Thus, we have:

[tex]f(x) = \dfrac{1}{x-1} - 2[/tex]

Checking it, as the graph intersects the x axis at 1.5, putting f(x) = 0 should give us x = 1.5,

[tex]f(x) = \dfrac{1}{x-1} - 2\\\\0 = \dfrac{1}{x-1} - 2\\\\2(x-1) = 1\\\\x = 1 + \dfrac{1}{2} = 1.5[/tex]

It is correct.

Thus,

The equation for the given graph can be:

[tex]f(x) = \dfrac{1}{(x-1)} - 2[/tex]

Its graph is attached below.

Learn more about graphing functions here:

https://brainly.com/question/17056821

Tao has 4 dimes and 12 nickels. Gail has 2 dimes and 3 nickels. What would be the ratio of dimes to nickels if they put these coins together?

Answers

Answer:

6:15

Step-by-step explanation:

Answer:6:15

Step-by-step explanation:

if you add together the dimes and add together the nickels, you get 6 dimes and 15 nickels. the colon in between the number is equal to “to” so it means 6 dimes to 15 nickels

-4 = 5 - x. SHOW ALL STEPS!

Answers

Answer:x=9

Step-by-step explanation:

-4=5-x

Add x on both sides

x-4=5

Add 4 on both sides

x=5+4

Solve

x=9

Answer:

x = 9

Step-by-step explanation:

-4 = 5 - x

5 - x = -4

-x = -4 - 5

-x = -9

x = -9/-1

x = 9

Find the missing side. Round to the nearest tenth.

Answers

Answer: 23.7

Step-by-step explanation:

Let's calculate the acute angle at the base of the triangle:

180° - 90° - 40° = 50°

Find side x:

[tex]\dfrac{sin \: 90^{o} }{31} =\dfrac{sin \: 50^{o} }{x}\\\\sin \: 90^{o} \cdot x=sin \: 50^{o} \cdot 31\\\\sin \: 90^{o} =1\\sin \: 50^{o} \approx 0.766\\1 \cdot x =0.766 \cdot 31\\x=23.746\\23.746 \approx 23.7[/tex]

Right answer gets brainlist

Answers

Answer:

132

Step-by-step explanation:

12 times 11= 132 PLEASE MARK BRAINLIEST

WILLL GIVE BRAINIEST!!!!!

Answers

Answer:

I think it's the first one if not put the last

PLS PUT ME BRIANIEST

Step-by-step explanation:

Can someone help please

Answers

Answer:r

enor

Step-bay-step explanation:

Answer:

See the conversion from decimal to fraction:

13.

-0.2 = - 2/10 = -1/5

14.

0.55 = 55/100 = 11/20

15.

5.96 = 5 96/100 = 5 24/25

please help!!!! I'm so confused :\ I'm sorry ik this is annoying ​

Answers

Answer:

I believe it will be C

Step-by-step explanation:

Hope this Helped you

Last year there were 30 students in the Chess Club. If the number of students in the Rubik's Cube Club was 20% greater than the number of students in the Chess Club, how many students were in the Rubik's Cube Club?

A. 30
B. 42
C. 36
D. 58 ​

Answers

C.36
you would multiply 30 times 20, then divide that total by 100 which will give you 6 then add the 6 to the 30 and get 36.

PLEASE HELP!!!! I REALLY NEED HELP ILL GIVE BRAINLIEST

Answers

Part A: -3x^8 + 2x^5 + 4x^3

Part B: degree is 8

Part C: 3 terms

Part D: -3x^8

Part E: -3

Your father, at the age of 40, purchased a Whole Life insurance policy with a face value of $80,210. The permanent insurance amount for a Whole Life insurance policy for a healthy 40-year-old make is $27.17. Your father decided to terminate the policy at the age of 50. Use the following table to determine the cash value of the policy upon cancellation.
Please select the best answer from the choices provided
A. $561.47
B. $1,684.41
C. $3,609.45
D. $5.213.65

Answer:
D). $5,213.65

Answers

D is the answer to this

Answer:

D) 5,213.65

Step-by-step explanation:

The question.

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