A litter of puppies consists of black puppies and white puppies. A

puppy is randomly selected and removed from the litter. Then another

random selection is made from the remaining puppies.

Event A: The first

selection is a black

puppy.

Event B: The second

selection is a white

puppy.

Is A dependent on B?

Answers

Answer 1

We want to see if the first selection is dependent on the second selection, we will see that no, the first selection can not depend on a selection that did not happen yet.

So the situation is:

We have a group of puppies, some are black, some are white.

Let's say that there are N puppies in total, n₁ are black, n₂ are white, such that:

n₁ + n₂ = N

Now we have that the first selection, event A, is a black puppy. The probability is just the quotient between the number of black puppies and the total number of puppies:

q = n₁/N

Then now we have:

N - 1 puppies in total.n₁ - 1 black puppiesn₂ white puppies.

Now for the second selection, event B, the probability of selecting a white puppy is:

P = n₂/(N - 1)

Notice that because there are fewer black puppies than before (because we took one) the denominator decreases, thus, the probability of getting a white puppy increases.

So clearly event B depends on event A.

Now the question is:

Is A dependent on B?

No, A can not depend on event B, because event A happens first. The probability of the first event is always q = n₁/N.

If you want to learn more, you can read:

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Related Questions

if marked price = 1,540 during the off season a discount was given and it was sold for 1,463. find the discount and the discount percent

Answers

Answer:

The discount is $77, and the discount percent is 5%

Step-by-step explanation:

Discount: $1,540 - $1,463 = $77

Discount percent: $1,463 / $1,540 = 0.95, 1.00 - 0.95 = 0.05, 0.05 = 5%

Which of the following represent opposites? –1 and 2 10 and 0 –20 and 21 11 and –11

Answers

Answer:

I am also indian i know this solution if you want to know commet here

Petra and Robyn work part-time on weekends. The ratio of Petra's wage to
Robyn’s is 4 : 3. If they earn $210 between them, how much does each of them take
home

Answers

Step-by-step explanation:

   4    +       3 = 7

petra   robyn    total

  210     /   7          =30

wage     total

              ratio

30× 4  = $120

     Petra's part

30× 3  =  $90

      Robyn’s part

Write the unit fraction depicted in the model as a percent.

One-fourth =

Answers

Answer:

Step-by-step explanation:

= 1/4*100

= 1*25

= 25%

• Answer is 25%.

I'm taking the ssat upper level on December 11th and really need help with the math section. Are there any tips or help that can be provided?

Answers

Answer:

1, Stay calm

2, be confident

3, if you know the type of questions they are gonna ask practiece those type of questions

Also good luck

What is determinant ?

Answers

Answer:

In mathematics, the determinant is a scalar value that is a function of the entries of a square matrix. It allows characterizing some properties of the matrix and the linear map represented by the matrix.

Answer:

It's a quantity obtained by the addition of products of the elements of a square matrix which is according to a given rule.


l
The ratio of the sides of two similar hexagons is 3:4. If the area of the smaller hexagon is 36 cm2, what is the area of the larger hexagon? (A
hexagon has 6 sides)

Answers

Answer:

64 cm²

Step-by-step explanation:

Given 2 similar figures with ratio of sides = a : b , then

ratio of areas = a² : b²

Here ratio of sides = 3 : 4

ratio of areas = 3² : 4² = 9 : 16

let x be the area of the larger hexagon then by proportion

[tex]\frac{9}{16}[/tex] = [tex]\frac{36}{x}[/tex] ( cross- multiply )

9x = 16 × 36 = 576 ( divide both sides by 9 )

x = 64

Area of larger hexagon = 64 cm²

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Mary Smith opened her interior design firm, KM Designs. Transactions made by KM Designs for the month of August are shown below.
1.
The owner invested $8,000 cash in the business.
2
The company purchased $3.200 of office equipment on credit
3.
The company received $2,400 cash in exchange for services performed.
4.
The company paid $320 for utilities in August.
5.
The owner withdrew $800 cash for personal use.
Your answer is partially correct.
Prepare a transaction analysis using T-accounts.
Assets

Answers

The first animal of the can of Stewart little was awarded awesome dissatisfaction based upon the cooking rewards the ants liked the food

:) stay safe out there

Answers

Answer:

8

Step-by-step explanation:

What is the simplest form of 4 sqrt 81 x^8y^5.

Answers

See image for answer.Hope it helps.

Sophie liked 35 of the 50 different flavors of Jelly Beans. Enter the percent of the Jelly Bean flavors she did not like.

Answers

70% would be the answer

A Function is defined as K(x)= 2x^2 -5x +3.The value of K(-3) is

Answers

Given that [tex]K(x)= 2x^2 -5x +3[/tex] as a function, the value of K(-3) can be found by substituting x for -3 into the function which will give us: [tex]\mathbf{K(-3) = 36}[/tex]

Given the function, [tex]K(x)= 2x^2 -5x +3[/tex], to find the value of K(-3), substitute -3 for x into  [tex]K(x)= 2x^2 -5x +3[/tex].

Thus, substitute:

[tex]K(-3)= 2(-3)^2 -5(-3) +3\\\\K(-3) = 18 + 15 + 3\\\\\mathbf{K(-3) = 36}[/tex]

Therefore, given that [tex]K(x)= 2x^2 -5x +3[/tex] as a function, the value of K(-3) can be found by substituting x for -3 into the function which will give us: [tex]\mathbf{K(-3) = 36}[/tex]

Learn more here:

https://brainly.com/question/19027807

Last weekend, 15% of the tickets sold at Seaworld were discount tickets. If Seaworld sold 40 tickets in all, how many discount tickets did it sell? Use the percent proportion.

Answers

Answer:

6 tickets

Step-by-step explanation:

100 POINTS IF U GET THIS RIGHT!

Answers

The slope is 9/8! Because in the slope intercept form which is y=mx+b, the “m” value is the slope.

Answer:

9/8

Step-by-step explanation:

Slope- intercept form:

y = mx + b, where m is the slope

The line given:

y = 9/8x + 1/8

This includes the slope, which is:

m = 9/8

the choices for the first one is either x values or y-values ​

Answers

Answer:

x values

division

Step-by-step explanation:

Vertical lines are all "rise" and no "run"

therefor the difference in x values is always 0

division by 0 is undefined

Answer: y- values

Step-by-step explanation:

types of vertical mirrors​

Answers

Answer:

Rectangle.

Round.

Arched.

Novelty.

Square.

Oval.

Octagon.

Sunburst.

Hope this is what you're looking for :)

Brainliest please

Simplify the following expression 5(3x + 7)

Answers

Answer:

15x + 35

Step-by-step explanation:

Simplify the following expression 5(3x + 7)

5(3x + 7)=

15x + 35

Answer:

15x + 35

Step-by-step explanation:

5×3x+7×5

=15x+35

A mass oscillating up and down on the bottom of a spring (assuming perfect elasticity and no friction or air resistance) can be modeled as harmonic motion. If the weight is displaced a maximum of 6 cm, find the modeling equation if it takes 4 seconds to complete one cycle. Be to show, illustrate and explain your work.

Answers

The motion of the mass as it moves on the bottom of the spring is a

repetitive motion.

[tex]\mathrm{The \ motion \ of \ the \ mass \ attached \ to \ the \ spring \ is \ }\displaystyle d = 6 \cdot sin\left(\frac{\pi}{2} \cdot t \right)[/tex]

Reasons:

The general form of the equation of the simple harmonic motion of the

mass is d = a·sin(ω·t)

Where;

d = The distance of the mass from the rest position

a = The maximum displacement of the mass from the equilibrium position = 6 cm

ω = The frequency of rotation

t = The time of motion

ω = The frequency of rotation

[tex]\displaystyle \omega = \mathbf{\frac{2 \cdot \pi}{T}}[/tex]

Where;

T = The time to complete one cycle (the period of oscillation) = 4 seconds

[tex]\displaystyle \omega = \frac{2 \cdot \pi}{4} = \frac{\pi}{2}[/tex]

Combining the above values gives the modelling equation as follows;

[tex]\displaystyle d = 6 \cdot sin\left(\frac{\pi}{2} \cdot t \right)[/tex]

Learn more here:

https://brainly.com/question/12904891

can someone please help me solve this! ​

Answers

Answer:

B

Step-by-step explanation:

[tex]4x^{2}-11x-3=0\\4x^{2}-12x+x-3=0\\4x(x-3) + (x-3) = 0\\(4x+1)(x-3)=0[/tex]

B is factorable through this method

An item is originally priced at $68.89. It is on sale for 42 percent of the original price. Which is an estimate of the sale price?

Answers

Answer:

The answer is $28.93.

Step-by-step explanation:

Using the butterfly method I got $28.93 as my answer.

$68.89 x 42%= $2,893.38

$2,893.38÷100%= $28.9338

$28.9338 rounded to the nearest hundredth is $28.93. I hope this helps.

Answer:

answer is D.

68.89 x .42=  $28

Step-by-step explanation:

to get your answer you multiply the numbers.

$68.89 x .42 = $28

your answer is $28.

hope this helps!

please make me brainliest !

Solve for x 2(x - 2)² = (2x - 1)(x - 3)
answer please ​

Answers

Answer:

X = 5

Step-by-step explanation:

Answer: x = 5

Step-by-step explanation:

Solve for x given the equation 2(x - 2)² = (2x - 1)(x - 3).

Simplify the equation.

2(x - 2)(x - 2) = (2x - 1)(x - 3)

2(x² - 4x + 4) = (2x² - 7x + 3)

2x² - 8x + 8 = 2x² - 7x + 3

Solve for x.

2x² - 8x + 8 = 2x² - 7x + 3

              -8                  - 8

2x² - 8x = 2x² - 7x - 5

       +8x         + 8x

2x² = 2x² + x - 5

 -x              - x

2x² - x = 2x² - 5

-2x²      - 2x²

- x = - 5

- 5 ÷ - 1 = 5

x is equal to 5.

Confused help please

Answers

Answer:

130

Step-by-step explanation:

1 and 2 form a straight line, so they are supplementary. That means they add up to 180. So,

a1+a2=180

50+a2=180

a2=130

Answer:

it would be B.130

Step-by-step explanation:

considering an angle can only go to 180* subtract 50 from 180 and you get 130

A woman got on the elevator on the fourth floor. The elevator went down 2 11 floors. Then, the woman got off the elevator. On which floor did the woman exit the elevator​

Answers

Answer:

A woman got on the elevator on the fourth floor. The elevator went down 2 11 floors. Then, the woman got off the elevator. On which floor did the woman exit the elevator

The side of the Australia flag are in a ratio of 1.2.if the flag is 5 feet long what is its height?

Answers

2.5 maybe sorry if i wrong

Question 1 Two autobody shops charge different rates for repairs. Bobby's Garage charges at a rate described by the equation 'R=250+22t". Sherie's Garage rate is described by the equation 'R=170+30t". In both cases, t' is the number of hours worked and R is the rate charged in dollars. How many hours must pass for the two shops to charge the same amount?​

Answers

Answer:

t=12.5 hours Image transcriptions Bobby's Garage R = 200 + 18t Sherie's Gar

Step-by-step explanation:

I'm not sure what the rest is but I hope that can give you some sort of clue as to what it is :)

" t=12.5 hours Image transcriptions Bobby's Garage R = 200 + 18t Sherie's Gar"

the four regions on the coordinate plane are called

Answers

Answer:

They are called quadrants

Hope it helps:)

The mean, median, and mode of a distribution are __________. A. Measures of central tendency B. Measures of variability C. Types of transformed scores D. Types of deviations Please select the best answer from the choices provided A B C D.

Answers

The mean, median, and mode of a distribution are measures of central tendency.

A measure of central tendency of a data set determines its central value. Measures of central tendency are mean median and mode.

Mean is the average of a set of numbers.

Mode refers to a value that appears most frequently in a data set.

Median is the number in the centre of a data set.

To learn more about mode, please check: https://brainly.com/question/300591

Answer:

A

Step-by-step explanation:

1.Mr. Redding sells vehicles to 40% of the people that come to the sales lot. If 165 people came to the lot last month, how many vehicles did he sell?

Answers

He would have sold 66 vehicles

a wind up robot can travel 20m on a single wind. how many times will it need to wind to cover a distance of half a mile?

Answers

40 winds. To be exact 40.2336 winds. But that’s not really possible so I would say 41 winds.

Please help with this problem!
(WILL MAKE BRAINLIEST)

Answers

Answer:

the third, and fourth options

Step-by-step explanation:

hope it helps

Answer:

3rd n 4th

hope this helps you!!!

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