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:

https://brainly.com/question/12138717


Related Questions

The second term of an arithmetic sequence is –5, and the third term is –20. What is the first term?

Answers

Answer:

a₁ = 10

Step-by-step explanation:

The common difference d is calculated as

d = a₃ - a₂ = - 20 - (- 5) = - 20 + 5 = - 15

Then

a₂ - a₁ = d , that is

- 5 - a₁ = - 15 ( add 5 to both sides )

- a₁ = - 10 ( multiply both sides by - 1 )

a₁ = 10

2x^(3)-3x^(2)+5-3x^(2)+2x^(2)-4x-9

Answers

Answer:

2x^(3) - 4x^(2) - 4x - 4.

Step-by-step explanation:

2x^(3)-3x^(2)-3x^(2)+2x^(2)-4x-9

Bring like terms together:

= 2x^(3) - 3x^(2) - 3x^(2) + 2x^(2) - 4x + 5 - 9

Now simplify:

= 2x^(3) - 4x^(2) - 4x - 4.

Answer:

[tex]2x^3-4x^2-4x-4[/tex]

Step-by-step explanation:

Subtract the numbers

[tex]2x^3-3x^2+5-3x^2+2x^2-4x-9[/tex]

[tex]2^3-3^2-4-3^2+2^2-4[/tex]

Combine like terms

[tex]2x^3-3x^2-4-3x^2+2x^2-4x[/tex]

[tex]2^3-4^2-4-4[/tex]

Rearrange terms

[tex]2x^3-4x^2-4-4x[/tex]

[tex]2^3-4^2-4-4[/tex]

Solution:

[tex]2x^3-4x^2-4x-4[/tex]

parallel perpendicular or neither

Answers

It should be perpendicular

If the Diameter is ten then what is the area of it

Answers

Answer:

78.54

Step-by-step explanation:

Hope this helps!

help asap pleaseeeee

Answers

Answer:

Its the last one!

Step-by-step explanation:

Remember

closed circle is less than or equal to and greater than or equal to

open circles are the less than and greater than!

and because it is the

less than or equal to because its going up.(left)

Is (3, 8) a solution to the equation y = 2x - 1? Explain your answer.

Answers

Answer:

No, because 2x3 - 1 =5, which proves it is incorrect

Step-by-step explanation:

You have 5 shirts, 6 pairs of pants, and 8 hats. How many outfits can you make consisting of one shirt, one pair of pants, and one hat

Answers

Answer:

240

Step-by-step explanation:

You would do 5x6x8 to get all the combinations, and that would equal 240

You answer 21 out of 25 questions correctly on a test. Did you reach your goal of getting 80% or better?

Answers

Answer:

Yes

Step-by-step explanation:

20 needed to get 80 %. You got one more than that so you got slightly more. So yes you did. You can also make 25 to 100 and 21 x4 so  that gives you 84 % . So you scored %84.

Good job

A GIRL WANTS TO BUY A DRESS THAT COST 125$ ANDSHE HAS A DISCOUNT OF 15% OFF OF A 5% COUPAWN HOW MUCH DID SHE PAY

Answers

100$ because 125/6 is 20 so then 20 x 5 is 100

Hurry question is on picture

Answers

Answer:

The last one

Step-by-step explanation:

The rule y times x will give the amount of money earned. After washing x cars. You'll end up with equivalent coordinates

Answer:

y=8x

Step-by-step explanation:

y=8(1)=8     (1,8)

y=8(2)=16   (2,16)

y=8(3)=24   (3,24)

y=8(4)=32   (4,32)

y=8(5)=40   (5,40)

y=8(6)=48   (6,48)

y=8(7)=56    (7,56)

Natalie walked 35 mile in 12 hour. How fast did she walk, in miles per hour?

a. 3/10 mile per hour

b. 5/6 mile per hour

c. 1 1/5 miles per hour

d. 2 miles per hour

Answers

Answer:

almost 3 mph so I'm guessing (d) is the answer

Step-by-step explanation:

35  ÷ 12 = 2.9 miles per hour

Help? Find the exact value.

Answers

That’s the answer for the question

In the diagram, m and Q is the center of the circle. Name two triangles that are congruent.

Answers

Answer:

Central Angle - an angle formed in the center of a circle by the meeting of two radii. Chord - a straight line connecting two points on an arc or circle.

8 pages

Step-by-step explanation:

In the diagram, m∠RQY = m∠WQT = 50° and Q is the center of the circle. Name two triangles that are congruent. answer choices. ∆RQY ≅ ∆YQW.

In the diagram, AB passes through the center C of the circle and DC⊥AB. Name two ... If two triangles are congruent, then their perimeters are the same.

There are 1580 adults and children on a ship. 60% of them are adults. When the ship arrives are harbour, some of the students alight and the percentage of adults remaining on the ship decreases by 20%. What is the ratio of the children to adults remaining on the ship?

Answers

Answer:

379 : 62

Step-by-step explanation:

Let’s gather the info from the problem.

1580 adults and children on a ship.

60% of them are adults.

percentage of adults and students remaining on the ship decreases by 20%

60% of 1580 is 948 so there are 948 adults onboard

leaving the remaining children which is 632

948 Adults

632 Children

Adults decreases by 20% so 758 adults

Children decreases by 20% so 124 children

the ratio is 758:124 simplified would be 379 : 62

Find the gradient of the line segment between the points (6,-4) and (10,-10). Give your answer in its simplest form.

Answers

Answer:

To calculate the gradient of a straight line we choose two points on the line itself. The difference in height (y co-ordinates) ÷ The difference in width (x co-ordinates).

so it is 0.2

help asap for brainlist
Given g(x)=−6x+3, find g(−4). To earn full credit, show your work using a method explained in the Orientation.

Answers

Answer:

g(-4) = 24 + 3 = 27

Step-by-step explanation:

We find the value of g(-4) by substituting -4 for x in g(x)= −6x + 3:

g(-4) = -6(-4) + 3, or

g(-4) = 24 + 3 = 27

Answer:

27

Step-by-step explanation:

substitute -4 for x

-6(-4) + 3

24 + 3

27

hope it helps :)

mark brainliest!!

Find the area of the figure below.

Please help me with this I don’t understand it!

Answers

Answer:

ans :240 cm²

Step-by-step explanation:

see the pic

....ik its messy but hope u understand

and I hope the ans is correct

This is what I need the answer for please help much appreciated if done so

Answers

Answer:

12a^9b^7

Step-by-step explanation:

Answer

12a^9b^7

Step-by-step explanation:

4x3=12

add the indices

3+6=9

2+5=7

12a^9b^7

NEED ASAP!!!

Evaluate the expression for the given value of the variable. 28+ 7 9r r= -1/2

Answers

Evaluate just means plug in the value that they give you, so instead of r you plug in -1/2
So. 28+79(-1/2)
=28+(-39.5)
= 28-39.5
=-11.5 or -11 1/2

Answer:

-11.5

Step-by-step explanation:

28+ 79r  r= -1/2

28+ 79(-1/2) =

28 + -39.5 -11.5

What is the value of b?

Answers

Answer:

C. 42

Step-by-step explanation:

What is the least common denominator for 5 and 16

Answers

The least common denominator for 5 and 16 is 80

Answer: 80

Step-by-step explanation:

16, 32, 48, 64, 80

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 75, 80

I need help with this question! Whoever is correct, I will give brainliest!

Answers

The system of equations that can be used to model the situation is:

B. [tex]x + y = 27[/tex][tex]y = 3 + \frac{1}{2}x[/tex]

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Variable x: number of boxes Juan packed.Variable y: number of boxes David packed.

Together they packed 27 boxes, hence:

[tex]x + y = 27[/tex]

David packed 3 more than half the number Juan packed, hence:

[tex]y = 3 + \frac{1}{2}x[/tex]

Hence, the system of equations that models the situation is:

B. [tex]x + y = 27[/tex][tex]y = 3 + \frac{1}{2}x[/tex]

You can learn more about system of equations at https://brainly.com/question/25960609

How to do the 9 multiplication trick.

Answers

Answer:

0123456789

9876543210

Step-by-step explanation:

09

18

27

36

45

54

63

72

81

90

Answer:

Step-by-step explanation:

for each 9 you add, take away 1 from the first number and add 10, like

81

72

63

52

41

32

23

18

9

What is the value of
this expression? [2x(3x5)+6]x4

Answers

Answer:

144

Step-by-step explanation:

(2*(3*5)+6)*4:

First, we simplify the 3*5.

(2*(15)+6)*4

Next, we multiply by 2.

(30+6)*4

We add the six now.

36*4

Finally, we multiply.

144

Find the measures of angles x and y in the figure.

Answers

Answer:

x = y = 60°

Step-by-step explanation:

The angle adjacent to 120° inside the triangle is

180° - 120° = 60°

The triangle is isosceles ( 2 congruent legs ) with the 2 base angles being congruent , then

y = 60°

The vertex of the triangle = 180° - (60 + 60)° = 180° - 120° = 60°

x is vertically opposite the vertex and is congruent , so

x = 60°

7075806785463087580370x98437532794395798243757934

Answers

Answer:

6.9652496e+47

Step-by-step explanation:

Answer:

use calculator to solve this equation

PLEASE HELP EXPLANATION 100 POIUNTS

Answers

Answer:

y=55

z=38

x=84

Step-by-step explanation:

Important thing to understand is that the angles in a triangle all add up to 180

A straight line also has an angle measure of 180

In the triangle on the left hand side. You can find y pretty easily

35+90 ( the angle is marked as a right angle) = 125

180-125 = 55

so y = 55

z can be found the same way

52+90 ( again marked) = 142

180-142 = 38

so z = 38

Since a straight line has a angle measure of 180 we can find x

z+y+x = 180

38+55+x=180

96+x=180

x=84

z:-

180-52-90180-14238°

x

x+z=35+90x+38=125x=87°

y:-

180-90-35180-12555°

The second rate superhero and is Arch Enemy Melvin the minor menace started 700 miles apart and fleet street toward each other in their jet propulsion packs it took 5 hours for the two to meet if the superheroes speed was 10 mph slower than a minute what was the menaces speed

Answers

Answer:75 mph

Step-by-step explanation:

You have been saving your money to buy a new pair of shoes. Three different stores are having a sale on them. Which store has the best deal?

Store A
Original Price: $70
Take 10% off.
Then, take 10 percent off that price.

Store B
Original Price: $80 Take $15 off.
Then, take 10 percent off that price.

Store C
Original Price: $90
Take 10% off.
Then, take $20 off that price.
A) Store A
B) Store B
C) Store C

Answers

Answer:

Store A would be the least expensive.

Step-by-step explanation:

Store A

70*0.10=7

70-7=63

63*0.10=6.30

63-6.30=57.70

$57.70

Store B

80-15=65

65*0.10=6.50

65-6.50=58.50

$58.50

Store C

90*0.10=9

90-9=81

81-20=61

$61

Write an expression to represent:
Eight minus the quotient of two and a number xx

Answers

Answer:

8-(2/x)

Step-by-step explanation:

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