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

HELP!! I dont get it please help

Answers

Answer:

Hypotenuse

[tex] {length \: of \: tv}^{ {}^{2} } [/tex]

please help with geometry! i will give brainlist!

Answers

Answer:

        x = 9,  y = 2.5

Step-by-step explanation:

[tex]m\angle T+m\angle P=180^o\\\\(12x-4)^o+(7x+13)^o=180^o\\\\12^o\cdot x-4^o+7^o\cdot x+13^o=180^o\\\\(12^o+7^o)\cdot x=180^o+4^o-13^o\\\\19^o\cdot x=171^o\\\\x=9[/tex]

[tex]MO=\dfrac{TR+AP}2\\\\\\16y+1=\dfrac{12y+1+18y+6}2\\\\(16y+1)\cdot2=30y+7\\\\32y+2-30y=7\\\\2y=7-2\\\\2y-5\\\\y=2.5[/tex]

Rewrite the following expression using the GCF and Distributive Property.
20k + 4m

Answers

tdtdidtiddititidtidutdtudutdrysrys6rdr6druurddut

the answer is 4( 5k +m)

Explain two different ways to find a new value after an original value is increased by 30%.

Answers

Answer:

Frequently, we know the new amount and the percent change and need to know the original amount. We found that a $600 TV on sale for 30% off, cost $420 on sale. We might think, that to find the original cost of the TV that has a sale price of $420 after a sale of 30% off, we could just take 30% of the $420 cost and add it back to the $420 to find the original cost.

30% of $420 is 0.30($420) = $126 and $420 + $126 = $546.

Or, 130% of $420 is 1.3($420) = $546.

Notice that this is not the $600 original list price with which we started.

Step-by-step explanation:

Number 15
Please help I need to turn this in today!

Answers

Answer:

d is equal to or greater than 9

Step-by-step explanation:

Subract thirteen from both sides of the equation.

Work out
a) 4 1/3 × 6
b) 2 3/5 × 3 1/3 ​

Answers

Answer:

1. 26

2. 8 2/3

Step-by-step explanation:

4 1/3 x 6 = 13/3 x 6 = 78/3 = 26

2 3/5 x 3 1/3 = 13/5 x 10/3 = 130/15 = 8 2/3

Answer:

41/3 x 6 =  82

2 3/5 x 3 1/3=86.7

Step-by-step explanation:

Lin runs 5 laps a track in six minutes how many minutes per lap is that

Answers

Answer:

1.2 minutes

Step-by-step explanation:

6 divided by 5 = 1.2

To do this, you take the total number of minutes, which is 6, and divide by the number of laps that Lin ran, which was 5.

Answer:

1.2 minutes

Step-by-step explanation:

5 laps/6 minutes = 1 lap/x minutes

To convert the ratio from 5 laps to one laps, 5 was divided by 5. Therefore, to keep the same ratio, 6 must also be divided by 5, making the answer:

1 lap/1.2 minutes

are 1/2 and 8/16 equivalent rates?

Answers

Yes, they are. 1 x 8 = 8 and 2 x 8 = 16.

Yes.

8/16 is 1/2 of 16/16

please help!

Create an equation for the following situation and find the value of x.

8 more than 2 times a number x, all divided by 5 equals 2.

Answers

Answer:

8+2x/5=2

2x/5=2-8

2x/5=-6

2x=-6x5

2x=-30

x=-30/2

x=-15

Step-by-step explanation:

what's the square root of 25 in **simplest radical form**

Answers

Answer:

5

Step-by-step explanation:

The square Root of 25 in its simplest form means to get the number 25 inside the radical √ as low as possible.

25 is a perfect square, which means that you can simply calculate the square Root of 25 to get the answer. 5 times 5 equals 25. Thus, the square Root of 25 in simplest radical form is:

5

bin at a department store contains blue and red blankets. The ratio of blue blankets to red blankets is 2 to 3. What percent of the blankets in the bin are blue?

Answers

66 percent because when u have an fraction 2/3 is 66 so the answer is 66 percent

Answer:

Step-by-step explanation:Answer

5.0/5

1

minashi

Beginner

7 answers

44 people helped

Step-by-step explanation:

13=blue blankets 7=red blankets

First, we need to know how many blankets there are in total.

13+7=20

Now, we don't need the seven anymore. Our ratio is blue blankets to total blankets.

13/20

Now, we need to know how many blue blankets there are in percentage.

13/20 = x/100

Next step: 13 times 100 is divided by 20

x= 13(100)÷20

x=1300÷20

x= 65

Plz help !!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

x^2 + 7x + 5x + 35

7x : II

5x: III

35: IV

Find the perimeter of the following triangle. Round your answer to the nearest hundredth.

Answers

Step-by-step explanation:

step 1. The perimeter (P) is the length around the triangle.

step 2. P = 6 + 5 + L (the length of the hypotenuse)

step 3. L = sqrt(6^2 + 5^2) = sqrt(61) where sqrt is the square root

step 4. P = 11 + sqrt(61) = 18.81.

Which expression represents the sentence "five times a number, n"?

Answers

Answer:

5n

Step-by-step explanation:

:)

Answer:5n

Step-by-step explanation:

Find all the zeroes of g(x)=4x^4+4x^3-11x^2-12x-3

Answers

Answer:

The zeroes of [tex]g(x)=4x^4+4x^3-11x^2-12x-3[/tex] are [tex]-\sqrt{3}, -\frac{1}{2}, \sqrt{3}[/tex], or approximately [tex]-1.732, -0.500, 1.732[/tex].

Step-by-step explanation:

Graphical calculator way (probably intended)

By inputting the function in a graphical calculator we can see that the roots of the graph of [tex]g[/tex] are about [tex]x=-1.732, x = 0.500, x = 1.732[/tex] (make sure you click on the points of interests).

Algebraic way (probably not intended because of obscure factoring)

Notice that [tex]g(x) = 4x^4+4x^3-11x^2-12x-3 = (2x-1)^2(x^2-3).[/tex] So the roots can be calculated with [tex](2x-1)^2 = 0 \vee x^2 - 3 = 0[/tex], yielding [tex]x = -\frac{1}{2} \vee x = \pm\sqrt{3}[/tex].

plssss help giving brainly

Answers

Answer:

-2 and 4

Step-by-step explanation:

not 100% sure but i think so

Answer: 4 + -6 = -2

Explanation: it’s technically 4-6 which also equals -2

if loss is loss percent and cost price in CP what will be SP?​

Answers

Answer:

SP = selling price

SP = [(100 + Gain%) / 100] * CP.

SP = [(100 – Loss %) / 100]*CP.

Answer:

Sp is selling price

Cp is cost price then Wil be profit or loss

Slope = 1.75; (10, 16.5)

Answers

Do you want the equation of the line given the slope and a point it goes through?

y - y1 = m (x - x1)
y - 16.5 = 1.75 (x - 10)
y - 16.5 = 1.75x -17.5
y = 1.75x - 1

can someone help me out it would be great if u can explain it.​

Answers

Answer:

113.1

Step-by-step explanation:

formula for circle is pie X radius^2

Alfred has a lawn service. He earns $40 for every 3 lawns he mows. Which of the following
represents the rate of change his income with respect to the number of lawns he mows?
$50
4 lawns
$53.33
4 laws
4 laws
$50
4 laws
$53.33

Answers

Answer: I don’t think I’m right but 53.33

Step-by-step explanation:

- Colin invests £1100 into his bank account.
He receives 5% per year simple interest.
How much will Colin have after 3 years?
Give your answer to the nearest penny where appropriate.

Answers

Simple interest = principal x time x rate
= 1100 x 3 x 5 /100
=165.00
=£165.00

Answer:

it is 1265 ?!?!?!!?!?!!?

Step-by-step explanation:

work out

Which pair of points have a slope of -3/5?

A (4, 0), (-2, 10)

B (10, -2), (0, 4)

C (4, 2), (10, 4)

D (-4, -10), (0, -2)

Answers

Answer:

No of these answers has a slope of  [tex]\frac{-3}{5}[/tex] . My guess is B becasue its close to [tex]\frac{-3}{5}[/tex] unless the 5 is supposed to be negative

Step-by-step explanation:

You have to use the slope formula [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

([tex]x_{1}[/tex],[tex]y_{1}[/tex]), ([tex]x_{2}[/tex],[tex]y_{2}[/tex])

(4, 0), (-2, 10)   [tex]\frac{10 - 0 }{-2 - 4 }= \frac{10}{6}[/tex] you have to simplfy, the answer will be [tex]\frac{5}{3}[/tex]

(10, -2), (0, 4)  [tex]\frac{4 - -2 }{0- 10 }= \frac{6}{-10}[/tex] you have to simplfy, the answer will be [tex]\frac{3}{-5}[/tex]

 (4, 2), (10, 4)  [tex]\frac{4 - 2 }{10 - 4 }= \frac{2}{6}[/tex] you have to simplfy, the answer will be [tex]\frac{1}{3}[/tex]

 (-4, -10),(0, -2) [tex]\frac{{-2- -10} }{0 - -4 }= \frac{8}{4}[/tex] you have to simplfy, the answer will be [tex]\frac{2}{1} =2[/tex]

a salesperson earns a commission of 312$ for selling 2600 in merchandise

Answers

What is your question?

Solve the system of equations - 8x - 5y = -13 and - 4x – 5y = 11 by
combining the equations.

Answers

Answer:

(6,-7)

Step-by-step explanation:

subtract them:

-8x - 5y = -13

-4x - 5y = 11

you get

-4x = -24

so x = 6

plug x into the second equation:

-24 - 5y = 11

-5y = 35

y = -7

so your solution is (6,-7).

Answer:

Your solution is (6, -7).

Step-by-step explanation:

Combining the equations is also known as substitution. This is done when you substitute one variable into another equation.

-8x - 5y = -13

-4x - 5y = 11

Let's change the second equation into one with one variable on each side.

-5y = 4x + 11

y = -4/5x - 11/5

Now, plug this into your first equation.

-8x - 5(-4/5x - 11/5) = -13

Distribute the -5 sign.

-8x + 4x + 11 = -13

Combine the like terms.

-4x + 11 = -13

-4x = -24

Isolate x by dividing both sides by -4.

x = -24/-4

x = 6

Now plug this back into either equation.

y = -4/5(6) - 11/5

Multiply.

y = -24/5 - 11/5

Subtract.

y = -35/5

Simplify.

y = -7

Your solution is (6, -7).

Check this by plugging in these values into the equation you have not checked yet.

-8(6) - 5(-7) = -13

-48 + 35 = -13

-13 = -13

Your solution is correct.

Hope this helps!

PLEASE HELP ITS DUE SOON

Answers

1) S
2) T
3) U
4) V
5) TU
6) MJ
7) 5

which value from the set ( 2,3,6,7) makes 3x + 5 = 11 true?

Answers

Answer:

x = 2

Step-by-step explanation:

3 x 2 is 6. 6 + 5 is 11. This is the only correct one.

Hope it helps!

Plzzzzzzzzzzzzzzzz Helo
Answer correct please but It can tell if the answer is wrong ​

Answers

Answer:

im pretty sure 20 seconds

Step-by-step explanation:

Answer:

11.494 seconds

Step-by-step explanation:

I don't think you need to show work

Measure
Angle
48°
А
B
(6. - 28)
(2x)
С
Find the value of x. Then find the measures of angles B and C
Enter your answers in the boxes.
mZB=
O
mZC =
o

Answers

Answer:Measure

Angle

48°

А

B

(6. - 28)

(2x)

С

Find the value of x. Then find the measures of angles B and C

Enter your answers in the boxes.

mZB=

O

mZC =

o

Step-by-step explanation:

Choose the best graph that represents the linear equation: -5x - y = 0 Graph A On a coordinate plane, a line goes through (0, 0) and (1, 5). Graph B On a coordinate plane, a line goes through (0, 0) and (5, 1). Graph C On a coordinate plane, a line goes through (0, 0) and (negative 1, 5). Graph D On a coordinate plane, a line goes through (0, 0) and (1, negative 5). a. Graph A c. Graph C b. Graph B d. Graph D

Answers

Answer:

2,4 is indeed correct on edg.

Graphs that show a linear function is second option

The linear equation graphs are the equation of straight line graph with slope.

for example y = mx  where (x,y) be the point on the line and m be the slope.

here the only second graph shows a straight line graph. y values changes by when x value changes. there is a slope.

when we a x value we can compute the corresponding y value.

Step-by-step explanation:

Gabriel is going to invest in an account paying an interest rate of 2.8% compounded
continuously. How much would Gabriel need to invest, to the nearest cent, for the
value of the account to reach $85,000 in 13 years?

Answers

Answer:

59065.75

Step-by-step explanation:

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