A jar contains five black balls and seven white balls. two balls are drawn sequentially, but the first ball is replaced before the second drawn. the probability of drawing two white balls, given that at least one of the balls is white, is 7/17.

Answers

Answer 1

The probability both balls are black, given that the first one is black, is gotten as;  ⁵/₁₂

What is the probability of Selection?

By using the probability of an event formula,

There are 5 black balls out of a total of 12 balls, so the probability of obtaining a black on a single draw is ⁵/₁₂, and the probability of obtaining a white is ⁷/₁₂



Since the balls are drawn with replacement, the two draws are independent events.

Use Multiplication and Union Rules to obtain the following probability:

P(F) = P(B, B) + P(B, W)

P(F) = (⁵/₁₂ * ⁵/₁₂) + (⁵/₁₂ * ⁷/₁₂)

P(F) =  ⁵/₁₂

Thus, the probability both balls are black, given that the first one is black, is  ⁵/₁₂

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Related Questions

In the interview, dr. dowell mentions that we live in a "small world." the video explains that disease can spread in a matter of hours when people travel by airplane. how does the video connect to what dr. dowell says? the video discusses disease but avoids how diseases spread. the video gives the same information as the interview about the spread of disease. the video gives less information than the interview about how easily disease can spread. the video gives more specific information about how easily diseases can spread.

Answers

Answer:

D

Explanation:

edge 2022

it's right all you have to do is trust me

Answer: D or The video gives more specific information about how easily diseases can spread.

Explanation: got it on edge 2022

Big ideas math geometry chapter 9 practice test answers

Answers

Can we see the text or concept we’re looking for? Problem? Anything

One economic reason for the general trend of migration from rural to urban areas is that —

Answers

Looking for job opportunities .

An executor should be willing and reliable because brainly

Answers

The reason why the executor should be reliable is because; such a person is dealing with a very delicate thing that loss could be devastating.

What is the role of an executor?

An executor is simply a person named in a will whose job it is to sort out the estate of the person who has died. The estate includes everything owned such as money, property and possessions.

Before appointing someone as an executor, it is very vital to carry out a background checks to ensure that the person has not been found guilty of fraud, theft or unethical practices in the past. This is because the person must have integrity to carry out this role.

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Answer:

need to be trusted to carry out will instruction

Explanation:

What would be the best search terms to use for a research project about the health benefits of exercise?

Answers

Answer: health benefits, exercise

Explanation:

Answer:

health benefits, exercise

Explanation:

Search terms are the words and phrases you enter into a search engine.

I run a book club with $n$ people, not including myself. every day, for $365$ days, i invite three members in the club to review a book. what is the smallest positive integer $n$ so that i can avoid ever having the exact same group of three members over all $365$ days?

Answers

The smallest positive integer n so that you can avoid ever having the exact same group of three members over all 365 days is; 11

How to solve probability combination?

if we have n people and we want to do groups of 5, the total number of different combinations is:

ⁿC₅ = n!/((n - 5)!5!)

By using the Brute force method, we have;

If n = 5,

c = 5,

Thus;

C₅ = 5

If n = 6,

c = 6,

Thus;

C₅ = 6

If n = 7,

c = 7,

Thus

C₅ = 21

If n = 8,

c = 8,

Then;

C₅ = 56

Now, If n = 9,

C = 9!/((9 - 5)!5!)

C = 126

We want to find the smallest n such that c > 365. Thus, C = 126 is too small.

Let's try n = 11;

C = 11!/(6! * 5!) =  462

This is greater than 365 and so we need at least 11 members in the club.

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15.4 segment relationships in circles homework answers

Answers

The length of the segment is an illustration of intersecting chords

The value of x is x = 27/14

How to determine the length of the segment?

From the complete question (see attachment), we have:

AD = 12

AE = 3

BE = 14

EC = x

Start by calculating the length of ED

ED = AD - AE

This gives

ED =12 - 3

ED =9

The value of x is then calculated as:

x * BE = AE * ED

Substitute known values

x * 14 = 3 * 9

Evaluate the product

x * 14 = 27

Divide both sides by 14

x = 27/14

Hence, the value of x is x = 27/14

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At which event must special care be taken when preparing food

Answers

Answer:

occasions

Explanation:

During occasions such as Easter, Christmas etc when preparing a food take risk and measures make it delicious

A large industrial machine is able to monitor brainly

Answers

yes, they just monitor by flagged key words.

Which of these is not a reason for percent yield to be less than theoretical yield?

Answers

Answer:>incomplete reactions, in which some of the reactants do not react to form the product

practical losses during the experiment

->side reactions (unwanted reactions that compete with the desired reaction)

->reversible reactions

->impurities in reactants

explantion

not a reason? if you ask a reason ,i can say An actual yield is the mass of a product actually obtained from the reaction. It is usually less than the theoretical yield. The reasons for this include:

The code for the genetic traits of an organism is directly determined by the

Answers

Traits are determined by genes, and also they are determined by the interaction with the environment with genes. And remember that genes are the messages in our DNA that define individual characteristics. So the trait is the manifestation of the product of a gene that is coded for by the DNA.

In "a worn path," phoenix jackson ultimately shows herself to be someone whose actions are all done out of __________. question 1 options: selfishness and bitterness dedication and love confusion and anger confidence and faith

Answers

Answer:

dedication and love

Explanation:

In "a worn path," phoenix jackson ultimately shows herself to be someone whose actions are all done out of Dedication and Love.

What is Phoenix jackson?

Phoenix Jackson is a courageous, crafty, and lovable elderly woman. The 1940s are the setting for "A Worn Way," and Phoenix makes several references to her age. She was raised under slavery and experienced both Reconstruction and the Civil War.

The story takes place when she is an elderly woman residing in the Deep South during the Jim Crow era, a set of laws designed to keep Black people segregated and powerless following slavery.

Phoenix has through and witnessed during her life, her arduous quest to obtain medication for her grandson is a reflection of the numerous challenges she has encountered and overcame.

Therefore, In "a worn path," phoenix jackson ultimately shows herself to be someone whose actions are all done out of Dedication and Love.

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Course 1 chapter 10 volume and surface area answer key

Answers

An example of Course 1 chapter 10 volume and surface area question is find the volume of the figure (image attached.) The volume is option C.

What is the surface area?

Surface area is a term that connote the total area which the surface of the object is said to occupy. It is often divided into a sum of base area(s) and also lateral surface area.

To solve for the volume,

v = ewh

v 7.2 (3.2) (5.2)

Therefore, v = 125.528m³

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A board that is 12 feet long must be cut into two pieces

Answers

Answer:

6 feet

Explanation:

If you're asking how long each piece is it will be 6 feet.

12 divided by 2 is 6.

12.3 geometric series evaluate homework and practice

Answers

The geometric series would have a uniform common ratio

The recursive definition of the geometric sequence is [tex]a_n = 4a_{n-1}[/tex] where a1 = 128

How to determine the geometric series?

Assume the geometric sequence is given as:

128,32,8,2

And the question requires the recursive definition of the geometric series

Start by calculating the common ratio (r)

[tex]r = \frac{a_{n}}{a_{n-1}}[/tex]

Substitute 2 for n

[tex]r = \frac{a_2}{a_1}[/tex]

Substitute known values

[tex]r = \frac{128}{32}[/tex]

Evaluate the quotient

[tex]r = 4[/tex]

Substitute 4 for r in [tex]r = \frac{a_{n}}{a_{n-1}}[/tex]

[tex]4 = \frac{a_{n}}{a_{n-1}}[/tex]

Cross multiply

[tex]a_n = 4a_{n-1}[/tex]

Hence, the recursive definition of the geometric series is [tex]a_n = 4a_{n-1}[/tex] where a1 = 128

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Read the excerpt from "a worn path." 'phoenix spoke unasked now. "no, missy, he not dead, he just the same. every little while his throat begin to close up again, and he not able to swallow. he not get his breath. he not able to help himself. so the time come around, and i go on another trip for the soothing-medicine." "all right. the doctor said as long as you came to get it, you could have it," said the nurse. "but it's an obstinate case."' what is the most likely the meaning of obstinate?

Answers

The most likely meaning of the word Phoenix from the given excerpt titled "a worn path" is; Stubborn

What does the phoenix symbolize?

The phoenix bird is one that symbolizes immortality, resurrection, and life after death. In the ancient Greek and Egyptian mythology, it was usually associated with the sun god.

Obstinate, dogged, stubborn, and mulish all mean that someone is unwilling to change course or give up a belief or plan.

Obstinate means an unreasonable persistence which is a negative word.

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A woman sells her home for $450 000. she had purchased it for $300 000

Answers

Answer:

$750

Explanation:

450+300=$750 u add 4+3=7 add 5+0=5 add a zero at the end equals 750

Her profit is $450,000-$300,000=$150,000

Since 2000 aaron donald is the only dt to win defensive rookie of the year

Answers

Answer:

yes because he is really good

Explanation:

yes

Since Tim Duncan in 1998, a rookie hasn't been selected to one of the NBA's All-Defensive teams. According to Basketball Reference, the former star player for the San Antonio Spurs is one of five first-year players who made the squad.

What  Aaron Donald, dt to win defensive rookie of the year?

Most-graded rookie defender: Jack Jones of the New England Patriots has earned an exceptional 87.1 overall rating, which is also the highest rating among all NFL cornerbacks.

Five of the other 10 players who had a 20/20 season in their first year went on to win the Rookie of the Year title for their respective leagues. And the other five received significant consideration for the prize, except Ellis Burks, who received zero votes.

People often cite the Baltimore Ravens from 2000 as an example of how defense can win championships. The Ravens defeated their opponents by a score of 4-0 that season.

Therefore, They hold the record for fewest rushing yards against and fewest points surrendered in a season of 16 games, respectively.

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which of the following explains a limitation of the three-tiered structure of wallerstein’s world systems theory?

Answers

The statement that explains the limitation of the world systems theory is that the model locks most countries into three-tiered structure with little opportunity for peripheral economies to advance into the wealthy core.

What is the Wallerstein’s world systems theory?

This theory is an approach towards the world history and social change that suggests there is a world economic system in which some countries benefit while others are exploited.

This theory was developed by a sociologist named Immanuel Wallerstein. It is structured into three tier namely:

core,

core, periphery, and

semi-periphery.

The limitations of the Wallerstein’s world systems theory:

It fails to fully account for the rise in globalization as a new phenomenon.

It fails to give enough credence to forces like social class.

It puts too much emphasis on economics rather than culture because it locks most countries into the development model of core, semiperiphery, and periphery.

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9-5 skills practice solving quadratic equations by completing the square

Answers

An example of 9-5 practice question on quadratic equations by completing the square is   5x2–2x−9=0.

What are  quadratic equation?

This is known to be a type of  algebraic expression that is based on the second degree in x. The quadratic equation often exist in a standard form such as  ax2 + bx + c = 0.

To solve for   5x2–2x−9=0

Then you have to rearrange the equation into:

x2−(2/5)x−9/5=0

= x2−(2/5)x=9/5

= (x−(2/10))2−(2/5)2=9/5(here b = 2/5)

= (x−(2/10))2=46/25

Then you take the square root on both sides

= (x−(2/10))=±1.356

Therefore  x=1.556  or say −1.156.

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How many different nth roots does a nonzero complex number have?

Answers

The Complex nth Roots Theorem with any nonzero complex number has exactly n ∈ N distinct nth roots.  

What is a non-zero complex number?

This is the quantity which does not equal zero is said to be nonzero. A real nonzero number must be either positive or negative, and a complex nonzero number can have either real or imaginary part nonzero.

The roots lie on a circle of radius centered at the origin and spaced out evenly by angles of 2π/n.

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Should the west asian include art in their religion

Answers

Yes, they should. The art will be good

Linear constant and squaring functions are examples of

Answers

Answer:

Polynomial functions

Explanation:

I hope this helps.

Linear constant and squaring functions are examples of polynomial functions.

What do you mean by Polynomial functions?

Polynomial functions may be characterized as a type of function that significantly involves the utilization of only non-negative integer powers or only positive integer exponents of a variable in equations like the quadratic equation, cubic equation, etc.

These functions are understood by mathematical concepts through which an expression consists of variables and coefficients involving only mathematical operations like addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Examples of polynomial functions may include linear constants, cubic functions, quadratic and quartic equations, etc.

Therefore, linear constant and squaring functions are examples of polynomial functions.

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Your question seems incomplete. The most probable complete question is as follows:

Linear constant and squaring functions are examples of:

Quadratic functions.Parabola functions.Polynomial functions.

Mark wants to determine the height x of a nearby tree

Answers

The height of the tree that can be determined by Mark will be 27.6 feet.

How to calculate height?

From the complete question, Mark wants to determine the height x of a nearby tree as he stands 47 feet from the base of the tree and the measure of the angle of elevation is 36°.

The height of the tree will be:

= 47 × sin 36°

= 47 × 0.5878

= 27.6

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Alice says she can find the area of the room by dividing

Answers

I found the complete problem.

If Alice divides it into two trapezoids, the area formula would be: A = [(a+b) / 2] * h

Trapezoid 1

A = [(7.5 + 15)/2 * 5

A = (22.5/2) * 5

A = 11.25 * 5

A = 56.25 sq. ft

Trapezoid 2

A = [(5 + 10)/2 * 7.5

A = (15/2) * 7.5

A = 7.5 * 7.5

A = 56.25 sq. ft

Total area = 56.25 + 56.25 = 112.50 sq. ft.

Ecoskate makes skateboards from recycled plastic. for a recent job lot of 100 skateboards, the company incurred direct materials costs of $600 and direct labor costs of $200. factory overhead applied to this job is $900. required: 1. what is the total manufacturing cost of this job lot? 2. what is the cost per skateboard?

Answers

Answer:

32$ per skateboard for this question

A $900 sound system decreases in value by 9 each year

Answers

Uh, Ok? That system can’t be going up higher than these gas prices istg.

In florida, the class e driver license is for drivers of _____.

Answers

Answer:

personal vehicles

Explanation:

like an automobile

If two organisms have similar traits of dna they are probably

Answers

Answer:

they probably share a common ancestor

What does it mean for a membrane to be selectively permeable brainly

Answers

Answer:

Selective permeability of the cell membrane refers to its ability to differentiate between different types of molecules, only allowing some molecules through while blocking others.

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