in your sock drawer, you have 12 blue socks and 12 yellow socks. It is dark in the morning when you were getting dressed, and you can’t see the color of the socks. How many socks must you pick to absolutely guarantee that you have a pair of blue socks to wear?

A.) 14
B.) 24
C.) 4
D.) 3
E.) 2

Answers

Answer 1

Answer:

A. 14

Step-by-step explanation:

Answer 2

The smallest number of socks to pull out to be assured that we get a blue  pair of socks is 14. (Option A)

What is pigeonhole principle?

If there are n objects to be putted into m containers such that n > m, then at least one container will have two objects.

Suppose the worst is happening when you're pulling the socks out.

The total number of colors is 2.

Now the worst case is when the pair is not completed until we draw all the yellow color.

That will happen at 12 + 1 = 13 draws (pair needs 2 blue, and the worst will happen that in initial trials, the yellow socks are not letting the pair get completed, which means at max 1 blue sock and rest 12 socks are drawn, which will get at max 13 draws).

But now any more sock pulled will have to be falling into the blue color category we already have. (this is exactly the pigeonhole principle's use).

After 13 times, you will start getting blue socks.

Since you need a pair of blue socks, you need to pull out socks 1 more time.

So total 14 pulls were required if the conditions were like resisting us at maximum.

In most of the cases, we might not need those 14 pulls, but 14 pulls is the minimum number that will assure you that the socks pulled have a blue pair of socks.

If the conditions are not worst, we would be lucky and that

Thus, the smallest number of socks to pull out to be assured that we get a blue  pair of socks is 14. (Option A is correct).

Learn more about pigeonhole principle and socks pulling here:

https://brainly.com/question/8505936


Related Questions

how do you solve for 8(s+3)=72

Answers

Answer:

s=6

Step-by-step explanation:

first you distribute the 8

8s+24=72

Then subtract 24 from both sides

8s=48

then divide both sides by 8 to get

s=6

1-)a medida do ângulo raso em minutos é:


obs:pra transformar em graus pra minutos deve-se multiplicar por 60


a) 21 400 b) 15 800 c) 10 400 d) 10 800

Answers

Answer:

d) 10 800

Step-by-step explanation:

Um ângulo é considerado raso quando sua medida é exatamente 180 graus, visto que cada grau equivale a 60 minutos, para obter a medida de um ângulo raso em minutos basta multiplicar 180 por 60:

[tex]180 *60=10800\ minutos[/tex]

A resposta correta é d) 10 800.

In a recent election Corrine Brown received 13 comma 482 more votes than Bill Randall. If the total number of votes was 120 comma 306​, find the number of votes for each candidate.
Corrine Brown received
how many votes?

Answers

Answer:

53,412 and 66,894

Step-by-step explanation:

In this question we have to assume the things

Let us assume

Bill randall be X

So, the Corrine Brown is X + 13,482  as the corrine brown received 13,482 more votes than the Bill Randall

And, the total number of votes is 120,306

Now the equation is

X + X + 13,482 = 120,306

2X + 13,482 = 120,306

2X = 106824

X = 53,412 i.e Bill randall

And, the corrine brown is

= 13,482 + 53,412

= 66,894

A student is saving at least $5,000 for college. She begins with a savings account set up by her parents containing $2,000. Each month she deposits an additional $50 into the account. Fill in the first blank with the correct expressions that make the statement true.

(Attached is the statement and the choices)

This is the first box only!! Pls help!!! Giving 15-20 points!!!

Answers

Answer:

5000 ≥ 2000 + 50a

Step-by-step explanation:

She wants to save at least $5000 for college. The saving account set up by her parents already contains $2000 . This means she has more $3000 to save to meet her minimum target. Each month she saves $50 into the account.

Let

number of month = a

The information can be expressed as follows

5000 ≥ 2000 + 50a

The savings will continue increasing every months because she always deposit $50 every month.

Using the expression

5000 ≥ 2000 + 50a

minus 2000 from both sides

3000 ≥ 50a

divide both sides by 50

3000/50 ≥ a

60 ≥ a

This means she needs at least 60 months to meet her savings/target.

Work out 8 x
(3 + 7)​

Answers

Answer:

Answer is 80

Step-by-step explanation:

PEMDAS (Parentheses - Exponents - Multiplication - Division - Addition - Subtraction)

Do (3+7) first which equals 10.

Your equation is then simply 8 x 10 which is 80.

Answer:72

Step-by-step explanation:

8 × (3+7) can be written as 8 (3+7)

Now,simplify

8 (3+7)

8 (10)

8×10

80 is the answer.

Solving similar triangles can someone please answer help

Answers

Answer:

k=3

Step-by-step explanation:

Since we know for a fact, thanks to it being given in your question, that the triangles are similar, that means the lengths are proportionate.

Secondly, you should notice a trend between both shapes. ΔPQRs sides are half of ΔDEFs.

With that in mind, we can conclude that for side K, it's half of 6, so 3! :D

what quadrilateral have all the attributes of rhombus ​

Answers

Answer:

A rhombus and a square since a square is also a rhombus.

2) Choose the letter of the equation that best represents the problem. *

A meteorologist measured the average rainfall received in Cities A and B. Both cities received

11inches of rainfall in total. While City A received x inches of rain, City B experienced three times

the amount of rainfall than City A.

Answers

Answer: x + 3x = 11

Step-by-step explanation:

Two cities A and B

Both cities receive 11 inches of rainfall in total

Amount of Rainfall in inches received by city A = x

Amount of Rainfall in inches received by city B = 3x

Therefore given the details above, total rainfall is best expressed using the equation ;

Rainfall in city A + Rainfall in city B = 11 inches

x + 3x = 11

Which of the following are valid probability distributions for a discrete random variable ?

Answers

It’s D I think. Since A and B are not random, C and E are not discrete

Answer:

A,B,D

Step-by-step explanation:

I just took the quiz

Jalen is in a 24-hour dance-a-thon as part of a fundraiser. He raised $50 in the first hour of the competition, then another $60 in the second hour, then another $72 in the third hour. If this pattern continues, what is the total amount of money he will raise if he stays for the entire competition?

Answers

Answer:

$786

Step-by-step explanation:

50, 60, 72

find the difference between the first and second hour earnings to get 10.

get the difference of the second and third to get 12.

we realize that they are in increasing with even numbers from 10 going further, ie, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28....etc

to get the total earnings for the 24 hrs, you have to keep on adding the next even number till you reach the 24th hour

you will get $786.

what is gct of $5000​

Answers

Step-by-step explanation:

this is the answer bro or sis.


What is the measure of angle WZY in the given figure?

Answers

45 degrees is the aswer
The answer is 45 degrees

Help me with this please

Answers

Answer:

I believe its 990

Step-by-step explanation:

you would multiply 9 times 10 times 11 and it equals 990

Answer:

Step-by-step explanation:

This is a parallelogram

base = 11 in

Height = 9 in

Area of parallelogram = base * height

                                    = 11 * 9

                                    = 99 square inches

Insert commas as needed, and then write the number in words 984200

Answers

Answer:

International - 984,200

Step-by-step explanation:

Nine hundred eighty four thousand and two hundred

Answer:

984,200

nine hundred eighty-four thousand two hundred

Step-by-step explanation:

remember that in numbers, you insert commas every three places(Place values)

PLEASE HELP: I need to know how to do the steps

Answers

Answer: i will help you, but the picture isnt clear for me

Step-by-step explanation:

How many solutions does this equation have? -8x= -8x .

Answers

Answer:

Infinite

Step-by-step explanation:

No matter what number you plug into x, since it is multiplied by the same coefficient on both sides, the two sides will still be equal. Therefore, there are infinite solutions. Hope this helps!

Answer:

This equation has infinite solutions.

Step-by-step explanation:

The equation parts are literally the same.

-8x=-8x

If x=2

-16=-16

If x=1,000

-8,000=-8,000

and so on...

Find the area of this shape. The area of this shape is _______ square centimeters.

Answers

Answer:

Step-by-step explanation:

area =(4+4+4)/2×2+1/2×(4+4)×5.75

=12+23.00

=35 sq.cms.

Step-by-step explanation:

Area of triangle = [tex]\frac{1}{2}[/tex](b*h)

Area of rectangle = b*h

[tex]A(big-triangle) = \frac{1}{2} (5.75*4)[/tex]

[tex]A(big-triangle) = \frac{1}{2}(23)[/tex]

[tex]A(big-triangle) = 11.5[/tex]

Since there are two big triangles, then we can multiply 11.5 by 2.

11.5 * 2 = 23

[tex]A(small-triangle) = \frac{1}{2}(2*2)[/tex]

[tex]A(small-triangle) = \frac{1}{2} (4)[/tex]

[tex]A(small-triangle) = 2[/tex]

Since there are two small triangles, then we can multiply 2 by 2.

2 * 2 = 4

[tex]A(rectangle)= 4 * 2[/tex]

[tex]A(rectangle) = 8[/tex]

Now, we can add up all of the areas so we can find the total area of the entire shape.

23 + 4 + 8 = 35

So, the area of the entire shape is 35 square cm.

Najmo made $126 dollars 49 hours of work at the same rate how many hours would She have to work to make $168.

Answers

Answer:

126-49

168-

it will take more time so less under

so 168×126=21168

so 21168÷49=432

so 432 hours

The lines below are perpendicular. If the slope of the green line is 3/2
what is
the slope of the red line? will give brainliest for correct answer ​

Answers

The slope of the red line is the "negative reciprocal" of the slope of the green line. So, it is -2/3

Tell me what the slope and y intercept means to you

Answers

In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept (that is, the point where the line crosses the vertical y-axis)

Can you please help me with this question please is so hard and i will give you a Brainiest

Answers

Answer:

I don't know about you, but I would say the dog because it is the only relative object about the size and volume of the dog.

You can really do these yourself; there's no math here, just common sense.   A bicycle weights a lot more than a tomato, a pineapple or a pencil, so we go with the dog and answer

Answer: about 10 kilograms

Can you please help me with this question and i will give you a Brainiest

Answers

Answer:

infinite soulutions

Step-by-step explanation:

m+7=3+m+4

m+7=m+3+4 (Combine Like Terms)

m+7=m+7

Step 2: Subtract m from both sides

m+7−m=m+7−m

7=7

Answer: 0 (thus, infinite solutions is the correct option)

Step-by-step explanation:

m+7= m+3+4

m-m= 3+4-7 (transposing m and 7)

0=0

Please rate 5 stars and vote as brainliest:)

(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)

find the mean and median and made of the following data 30,31,35,29,32,30,31,35,36,35​

Answers

Answer:

Mean: 35

Median: 31

Mode: 36.9 (If you round up), 36.8 (If you don't round up)

Step-by-step explanation:

Order the Data: 29, 30, 30, 31, 31, 35, 35, 35, 36

Mean: Average , sum all of your data and divided by how many scores are in your data. (From Math Notes I have)

332/9 = 36.9 (If you round up)

Median: Middle Score (From Math Notes I have)

In this case the Median is 31.

Mode: The score that up most (From Math Notes I have)

In this case the Mode is 35.

y + 3 = –y + 9
y=1
y=3
y=6
y=9

Answers

Answer:

y = 3

Step-by-step explanation:

3+3 = -3+9

6=6

Answer:

y+y = 9-3

2y= 6

y=6/2 =3

y=3

Step-by-step explanation:

1 1/4 +1 1/2 pls answer

Answers

Answer:

the answer is 33/4

Step-by-step explanation:

11/2->22/4

11/4+22/4=33/4

Look at the attached picture

Hope it will help you

what’s the area of the trapezoid

Answers

Answer:

1/2(15)(50 + 30)

1/2(15)(80)

1/2(1200)

600m²

Step-by-step explanation:

A locker combination consists of two non-zero digits. The digits in a combination are not repeated and range from 2 through 9.
Event A = the first digit is an odd number
Event B = the second digit is an odd number
If a combination is picked at random with each possible locker combination being equally likely, what is P(B|A) expressed in simplest form?

A. 3/8
B. 3/7
C. 1/2
D. 4/7

Answers

Answer:

3/7 (b)

Step-by-step explanation:

If a combination is picked at random with each possible locker combination  being equally likely, the conditional probability P(B|A) is 3/7.

What is conditional probability?

Conditional probability is defined as the likelihood of an event or outcome occurring, based on the occurrence of a previous event or outcome.

Probability of event A = P(the first digit is an odd number) = 4/8

Given that event A has already occurred, we need to calculate the probability of the occurrence of probability B.

The total possible outcomes are 7 (out of 8 one is used up in event A).

Favorable outcomes are 3 (out of 4 one is used up in event A).

P(B|A) = 3/7

 

Learn more about probability here

https://brainly.com/question/11899923

#SPJ2

Find the value of p if (3, 2) is a solution of px – 5y + p2 = 0.

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

Substitute the x and y values in:

p^2 + 3p - 5(2) = 0

p^2 + 3p - 10 = 0

Factorise this:

(p - 2)(p + 5)

p = 2

p = -5

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

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find the volume of the cylinder

Answers

Answer:

10 ft

Step-by-step explanation:

1x10= 10

volume is found by multiplying length width and height together.

Brainliest is greatly appreciated

Answered by: Skylar

5/21/2020

1:44 PM (Eastern Time)

Answer:

Volume of a cylinder=πr²h

=3.14×(10)²×1

=3.14×100×1

=314×1

=314ft³

What is the equation for the line of reflection? X=6 y=6 y=x y=2

Answers

Answer:

x=6y

Step-by-step explanation:

I think this is right, sorry if it is not

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