Given that events A and B are independent with P(A)=0.31P(A)=0.31 and P(B)=0.7P(B)=0.7, determine the value of P(B|A)P(B∣A), rounding to the nearest thousandth, if necessary.

I need help please.

Answers

Answer 1

Answer:

.7

Step-by-step explanation:

I'm going to assume you meant to write all that stuff once

The conditional probability formula is as follows : (B|A)=(A∩B)/A

We're told that the two probabliites are independent of each other which means that A∩B= A*B

Which means we have

(.31*.7)/(.31)

This should simplify to .7

*note* a shortcut you can use when finding the conditional probability of two independent probabilities you can just take the first probability (or in this case B) and that'll be your final answer  


Related Questions

50 points HELP PLEASEEE



We all know how toilet paper has been horded during the pandemic. Your
teacher has cleared out a closet to hoard TP. Using the Fermi process, you need to
estimate the number of rolls of TP she can fit into a rectangular prism section of a
closet with dimensions of 36 in. by 108 in. by 36 in. Measure a roll of TP at your
home, remember it is a cylinder you need its radius and height to calculate its size.
Radius: _________ Height: ____________
About how many rolls of TP can fit into the closet section?

Answers

Answer:

radius: 78 height: 92

im so sorry if im wrong! i did math and everything!

Assume the radius is 5 and the height is 4.

We first need to find the volume of both the TP roll and the volume of the closet.

In order to find the volume of the TP roll, we need to use the formula [tex]V[/tex] = [tex]\pi[/tex][tex]r^{2}[/tex][tex]h[/tex] (r meaning radius and h meaning height), so that means we have to do 3.14 × 5 × 5 × 4.

After solving, we get 314 as our answer.

Next we need to find the Volume of the closet by using the formula L × W × H (L meaning Length, W meaning Width, and H meaning height), so that means we have to do 36 × 108 × 36.

We then get 139,968 as our answer.

The last thing we need to do is 139,968 ÷ 314.

The answer we get is 445.

So the answer to this question is: About 445 rolls of TP can fit into the closet.

|x+7|>3

help me pleaseeee

Answers

Answer:

x>-4

Step-by-step explanation:

|x+7| is just x+7

x+7>3

-7 on both sides

x>-4

Which equivalent expression can be used to solve the quotient 2/3 divided by 4/5

Answers

Answer:

5/6

Step-by-step explanation:

Divide it

The equivalent expression can be used to solve the quotient 2/3 divided by 4/5 is 5/6.

What is division?

Division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic, which gives a fair result of sharing.

The equivalent expression that can be used to solve the quotient 2/3 divided by 4/5 is;

[tex]= \dfrac{\dfrac{2}{3}}{\dfrac{4}{5}}\\\\=\dfrac{2}{3} \times \dfrac{5}{4}\\\\=\dfrac{1}{3} \times \dfrac{5}{2}\\\\=\dfrac{5}{6}[/tex]

Hence, the equivalent expression can be used to solve the quotient 2/3 divided by 4/5 is 5/6.

Learn more about division here;

https://brainly.com/question/22850643

#SPJ2

(8*10^(3))(4*10^(8))

Answers

Answer:

3.2 * 10^12

Step-by-step explanation:

Answer:

3.2 * 10^12

Expanded form

32000000000000

Step-by-step explanation:

HERE I NEED HELP!!!!!

Answers

Answer:

Area of ¼th part of circle =¼πr²=¼×3.14×12²

=113.04in²

Area of rectangle ABCD=l×b=8×17=136in²

Area of rectangle DEFG=l×b=5×3=15in²

Total area : 113.04+136+15=264.04 =264 square inches.

Answer:

area = 263.04 in²

Step-by-step explanation:

area = (8 x 17) + (5 x 3) = (0.25 x 3.14 x 12²) = 135 + 15 + 113.04 =263.04 in²

If the degree of a polynomial is "6" then it must have "6" zeros/solutions

true or false

Answers

Purple fox can you help me with my work as well

Answer:

False. The degree of a polynomial is the highest exponent any term is raised to

Step-by-step explanation:

HELP!!! this is graded and no links plss!!!

Answers

Answer:

396 mm squared

Step-by-step explanation:

(8 x 12) ÷ 2 = 48

48 x 2 = 96

10 x 10 = 100

100 x 3 = 300

300 + 96 = 396

Answer:

396 mm squared is what I see

Can anyone answer questions 1-9?! I would be so happy!!! I need this before tomorrow at 2:00 (I live in FL)!!! ANYONE?! PLEASE HELP (you can message me too!)

Answers

Answer:

Not sure if your teacher would accept the answer for #3 and #6 because of how I rounded up the answer to the semicircles.

Please help with last 2 domain and range

Answers

Answer:

See below for answers and explanations

Step-by-step explanation:

Top left: Since y can't be greater than 0 but is equal to 0, then the range is (-∞,0] and the domain is (-∞,∞) since there are no domain restrictions

Top right: Since both x and y have no restrictions, then the domain is (-∞,∞) and the range is (-∞,∞)

Bottom left: Since y cannot be less than 2 but equal to it, and x holds no domain restrictions, then the domain is (-∞,∞) and the range is [2,∞)

Bottom right: Since both x and y have no restrictions, then the domain is (-∞,∞) and the range is (-∞,∞)

Identify the graphed linear question.
A. y=5x+2
B. y=5x-2
C. y= -5x+2
D. y= -5x-2

Answers

Answer:

The answer is: y= -5x-2

Step-by-step explanation:

I hope it help.

What is the volume of this triangular prism

Answers

Answer:

hey you are in 9th Or 10th class

D. 504cm^3 is the answer

Determine the area of the shaded region.
15 m
24 m
10 m
10 m
5 m
5 m

Answers

Answer:

230

Step-by-step explanation:

a point plotted at 30.05 on a number line which of these describes the location of the point

Answers

Answer:

Between 30 and 31

Step-by-step explanation:

Which situation can be represented by the equation y = 25x + 50?
A. A repairman charges $25 to come to the house and $50 for each hour he works.
B. Tom pays $25 a month for a health club membership. He also had to pay a $50 registration fee.
C. Sally has $25 in her savings account. She plans on depositing $50 from each of her paychecks into her account.
D. A school store started the year with 25 pencils. Each month they added 50 more to their inventory.

Answers

It’s B because 25x the x represents what 25 is multiplied by and b is the only one that makes since mark me brainliest please

The power generated by an electrical circuit (in watts) as a function of its current ccc (in amperes) is modeled by: P(c)=-20(c-3)^2+180P(c)=−20(c−3) 2 +180

Answers

Answer:

The current that produces maximum power is 3A

Step-by-step explanation:

Given

[tex]P(c) = 20(c - 3)^2[/tex]

Required [Missing from the question]

The current that produces maximum power

First, we represent the function in standard form

[tex]P(c) = 20(c - 3)^2[/tex]

[tex]P(c) = 20(c - 3)(c - 3)[/tex]

Open bracket

[tex]P(c) = 20(c^2 -6c+ 9)[/tex]

[tex]P(c) = 20c^2 -120c+ 180[/tex]

The maximum value of c is:

[tex]Max(c) = \frac{-b}{2a}[/tex]

Where:

[tex]f(x) = ax^2 + b^2 + c[/tex]

By comparison: [tex]P(c) = 20c^2 -120c+ 180[/tex]

[tex]a = 20[/tex]

[tex]b = -120[/tex]

[tex]c = 180[/tex]

So, we have:

[tex]Max(c) = \frac{-b}{2a}[/tex]

[tex]Max(c) = \frac{-(-120)}{2 * 20}[/tex]

[tex]Max(c) = \frac{120}{40}[/tex]

[tex]Max(c) = 3[/tex]

Find the Circumference of a circle with a Diameter of 9 inches Group of answer choices 9 pi inches 9 pi inches^2 9 pi inches^3 108 pi inches

Answers

Answer: [tex]9\pi\ in.[/tex]

Step-by-step explanation:

Given

The diameter of a circle is [tex]d=9\ in.[/tex]

So, the radius is [tex]r=\frac{d}{2}=4.5\ in.[/tex]

The circumference is given by [tex]2\pi r[/tex]

Insert the values

[tex]\Rightarrow 2\pi \cdot 4.5\\\Rightarrow 9\pi \ in.[/tex]

Thus, the circumference of the circle is [tex]9\pi\ in.[/tex]  

solve for x.
help asap plssss

Answers

Answer:

60

Step-by-step explanation:

The outside of the circle will measure 360 all of our known values are added up to equal 240 so subtract it from 360 to get 120

Now divide 120 by half to get 60 since the outside is double the size of the inside

Hope this helps

Answer:

60

Step-by-step explanation:

Angle R is an inscribed angle so it is 1/2 of TS. Since a circle is 360 degrees, we find TS by subtracting (90 + 150) from 360 which gives us TS = 120.

x = 1/2(120) = 60 degrees

Simplify: x2/6 ⋅ x2/4

Answers

Answer:

x ^2/ 6

--------------------------------------------------------------------------

Help ASAP Please Thank You!​

Answers

Answer:

Step-by-step explanation:

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\\\\frac{x^{12}}{x^{10}}=x^{12-10}=x^{2}[/tex]

Determine whether the polygons are similar. If so, write a similarity
statement and give the scale factor. If not, explain.

Answers

Answer:

yes, because of the Angle-Angle-Angle theorem

scale factor = 2

Step-by-step explanation:

Corresponding ______ are matching sides that are in the same position in two or more polygons.

Answers

Answer:

Corresponding sides are matching sides that are in the same position in two or more polygons .

Karen is adding a border to a rectangular poster. The border will have a uniform width of X inches and run along all four sides, so Karen uses the functions land wto model the length and width, in inches, of her poster after she adds the border. l(x) = 2x+ 18 W(x) = 2x+ 24 Which function correctly represents the total area, in square inches, of Karen's poster, when a border x inches wide is included in the area?

A. A(X) = 4x + 432

B. A(X) = 4x2 + +42x + 432

C. A(x) = 4x2 + +84x + 432

D. A(x) = 4x + 432​

Answers

Answer:

B. A(x) = 4x² + 42x + 432

Step-by-step explanation:

The area is the product of the width and the length:

A(x) = (2x + 18)(2x + 24) = 4x² + 42x + 432

Correct choice is B

In 20P9, how many choices are
there for the second batter if the
total number on the team is 20?
(Only 9 players will be in the lineup.)

Answers

Answer:

The answer is 19.

Step-by-step explanation:

Theres already a first batter which means that there are only 19 people that can be second batter

Use the long division method to find the result when 6x3 + 10x² + 7x + 2 is
divided by 3x + 2.

Answers

Answer:

6x3+10x2+7x+2/3x+2

Step-by-step explanation:

which function rule represents the data in the table?​

Answers

Answer:

A

Step-by-step explanation:

STAT, EDIT

Events A and B are independent. Find the missing probability.
A.9/20

B.3/4

C.1/2

D.3/40

Answers

Answer:

B

Step-by-step explanation:

It’s B double check tho!

YALLLL PLZ HELP ASAP TY
Solve the inequality and graph the solution on the line provided.
-5 - 7x < -40

Answers

Answer:

x > 5

solid dot on the number 5 and shading to the right

Step-by-step explanation:

-5 - 7x < -40

-7x < -35

x > 5

solid dot on the number 5 and shading to the right

Please help with this math question

Answers

Area of the rectangle minus area of 2 circles

Area of rectangle is 8x16
Area of circle is pi•r^2 = 3.14 x 4^2= 3.14•16

Answer is:
128 - 2(3.14•16) square inches

help me and ill give u points (math)

Answers

Answer:

64+27=97+X

x =91-97

x=-6

What is the median of this data set?

40, 12, 13, 33, 25, 17, 31

Answers

It will be 33, because it’s at the middle

Answer:

You separate all this number then you put them in ascending order then you start to draw a line to get your median so our median is 25

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