There are 20 black, 15 white, 12 green, 12 red, 9 blue and 2 yellow candies in a box. How many candies should you take (without looking at them) to be sure that you have at least 3 candies the same color?

Answers

Answer 1
Answer:  13

=============================================================

Explanation:

The best case scenario is that you get 3 of the same color in a row on the first three attempts. The lower bound is 3.

However, we have to consider the worst case scenario when we want to guarantee something like this, without looking at the candies we selected.

Consider the case of something like this sequence:

blackwhite greenredblueyellowblackwhitegreenredblueyellowblack

As you can see above, I've listed the colors in the order presented by your teacher. I pick one candy at a time. Once I reach yellow, I restart the cycle. In slots 1, 7 and 13, we have a black candy selected. This example shows that we must make 13 selections to guarantee that we get at least 3 candies of the same color (that color being black). The order of the candies selected doesn't matter. We could easily use any other color except yellow to do this example. The black candy just happened to be the first listed, so I went with that.

Note how we have 6 unique colors in the set {black, white, green, red, blue, yellow}. If we pick 2 candies of each color, then we've selected 6*2 = 12 candies so far. That 13th candy (some color other than yellow) is guaranteed to be a color we already selected; therefore, we'll be guaranteed to have 3 of the same color. We won't know what color it is but we will know we have a match like this.

For more information, check out the Pigeonhole Principle.


Related Questions

answer po plss plss plsss

Answers

Answer:

 16. 1.56

17. 0.8625

18.0.04

Step-by-step explanation:

Can some please write my knowns and unknowns for this question

Answers

Answer:

Knowns:

initial velocity (v₀) = 0

final velocity (v₁) = 100 km/h

acceleration (a) = 9.00 m/s²

Unknowns: how long the acceleration took (Δt) = ?

Step-by-step explanation:

Use one of the kinematics equations to find what you're looking for.

This equation with a little algebra should help

v₁ = v₀ + aΔt

What were two impacts of the first great depression?

help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1: unemployment (more homeless people)

2: House prices rose down drastically by 70%.

(My sources: TheBalance.com)

Find the value of the power. (2/3)3  ​

Answers

Answer:

8/27

Step-by-step explanation:

[tex](\frac{2}{3})^3 = \frac{2}{3} * \frac{2}{3} * \frac{2}{3} = \frac{8}{27}[/tex]

3. Consider the equation 3x + 4 = 8x - 16. Solve for x using the given starting point."
Group 1
Group 2
Group 3
Group 4
Add 16 to both sides
Subtract 3x from both
sides
Subtract 4 from both
sides
Subtract 8x from both
sides

Answers

Answer:

X=-2.4

Step-by-step explanation:

3x+4=8x+16

-5x+4=16

-5x=12

x=-2.4

X=6
3x+4=8x-16
+16 +16
3x+20=8x
-3x -3x
30=5x
/5 /5
6=x

Can someone pls help me

Answers

Since it is a right triangle, you can use the Pythagorean Theorem to find the length of the missing side.
a^2 + b^2 = c^2
(a and b are the legs, c is the hypotenuse)
In this triangle, a=21 and c=25. Find b.
21^2 + b^2 = 25^2
441 + b^2 = 625
b^2 = 184
b = 13.6

Additive inverse of -2/5​

Answers

Hello! The additive inverse of -2/5 is 2/5.

if you add -2/5+2/5, you will get 0, so these two numbers are opposites and additive inverses.

Hope this helps you!

~Just a joyful teen

[tex]SilentNature\\(GraceRosalia)[/tex]

write the equation for the slope intercept form

Answers

Answer:

y=2/3x-1

Step-by-step explanation:

Find the distance between points B and N.

Answers

Answer:

5

Step-by-step explanation:

b is at 15

n is at 10

hence -15 - -10=5

positive 5 btw

Quis
bentuk pangkat dari
2² + 3² - 2²=
note:. user Indonesia​

Answers

Answer:

9 Should be your answer

Step-by-step explanation:

[tex]2^{2}[/tex] = 4

[tex]3^{2}[/tex] = 9

These will help us as we solve this problem.

Then: 2² + 3² - 2²

= 4 + 9 - 4

= 9

Kind requests:

Please give brainliest :D

Due tomorrow i need help please

Answers

Answer:

(-6,9)

Step-by-step explanation:

You first need to simplify the polynomial, which would equal to (x-9)(x+6). Then afterwords you would have to get the zeros of x by doing inverse operation, which would equal to (-6,9). Since these greater and lesser than the number within the graph they are parentheses instead of brackets.

Can someone please help-

Answers

Answer:

5[tex]\frac{17}{18} }[/tex]

Step-by-step explanation:

The ratio of men to women working for a company is 6 to 5 . If there are 65 women working for the company, what is the total number of employees?

Answers

Step-by-step explanation:

[tex]\frac{men}{women} =\frac{6}{5}[/tex]

If there are 5 women = 6 men

If there are 5(13) women = 6(13) men

If there are 65 women = 78 men

So there are 65 + 78 = 143 employees.

please give me a brainliest answer

how to order you decimals from least to greatest

Answers

The least is the lower number
The greatest is the higher number

Simplify the following by subtracting the exponents. I will give brainlist

Answers

Answer:

1. r^5

2. st^2

3. qr (the two "s" cancel each other out)

4. z (the x^2's and y^2's cancel each other out)

5. m (the n^2's and o's cancel each other out)

6. x

7. z^-1

8. a (the b^2's cancel each other out)

9. d^4 f^2

Step-by-step explanation:

When exponential variables are divided, the base variable stays the same, and the exponents are subtracted. For example, for #6, x^2/x^1 (x doesn't need an exponent but for the sake of explanation is ^1). We subtract the exponents and since anything "to the power of 1" will just be the base number, for example 6^1 will still be 6.

The simplified expressions are given below.

What are Exponents?

Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.

1) We have the division rule of exponents that,

xᵃ /  xᵇ = xᵃ⁻ᵇ

Using this,

r⁶ / r = r⁶⁻¹ = r⁵

2) s³t⁴ / s²t² = s³⁻² t⁴⁻² = st²

3) q³r²s / q²rs = q³⁻²r²⁻¹s¹⁻¹ = qr

s⁰ =  1, since any number raised to zero is always one.

4) x²y²z / x²y²z

Both numerator and denominator are same.

So the quotient is 1.

5) m³n²o / m²n²o

n²o gets cancelled both in the numerator and denominator.

m³n²o / m²n²o = m³⁻² = m

6) x² / x = x²⁻¹ = x

7) z⁴ / z⁵ = z⁴⁻⁵ = z⁻¹

8) a²b² / ab²

b² gets cancelled since they are same in both numerator and denominator.

a²b² / ab² = a²⁻¹ = a

9) d⁵f³ / df = d⁵⁻¹f³⁻¹ = d⁴f²

Hence the simplified form of each of the expressions is given.

Learn more about Exponents here :

https://brainly.com/question/27850853

#SPJ3

Melinda put 64 pieces of cake on a table. She placed them in 8 rows with the same number in each row. Each row had an equal number of two flavors of cake. How many pieces of each flavor were in one row?

( ugh math)

Answers

Answer:

There were 4 pieces

Step-by-step explanation:

What is the reciprocal of -3 2/7 in fraction form?

Answers

Answer:

7/23

Step-by-step explanation:

3 2/7 - so 7 times 3 is 21, plus the extra 2 is 23, so it then becomes the improper fraction 23/7, which switched becomes 7/23

Answer: is in picture below

3x3x-5y-7=0
X=2k-1.
Y=k

Answers

Answer:

Step-by-step explanation:

We know that the system of equations

a

1

x+b

1

y=c

1

a

2

x+b

2

y=c

2

has infinitely many solutions, if

a

2

a

1

=

b

2

b

1

=

c

2

c

1

Here, a

1

=2,b

1

=3,c

1

=4,a

2

=k+2,b

2

=6,c

2

=3k+2.

Therefore, the given system of equations will have infinitely many solutions, if

k+2

2

=

6

3

=

3k+2

4

k+2

2

=

6

3

 and  

6

3

=

3k+2

4

k+2

2

=

2

1

 and  

2

1

=

3k+2

4

⇒k+2=4 and 3k+2=8

⇒k=2 and k=2

⇒k=2

Hence, the given system of equations will have infinitely many solutions, if k=2.

.what is the answer please ​

Answers

its  C the only one that makes a angle

PLEASE HELP ME AND FAST! ANSWER WITH EXPLANATION PLS, ANSWER RIGHT PLS PLS PLS!
Last year, Deandre had $10,000 to invest. He invested some of it in an account that paid 7% simple interest per year, and he invested the rest in an account that paid 10% simple interest per year. After one year, he received a total of $790 in interest. How much did he invest in each account?
First Account: $?
Second Account: $?

Answers

He had $10,000 in the first account & $900 in the second account.

Hi guys.Hope you are all well…I need your help on this question and I will give you 34 points for it.It doesn’t matter who gets the answer first .It matters on that if you try your best.I will still give you points if you try and think what’s the answer for this question.Thanks…

Answers

Answer:

the size of the angel is 51

Step-by-step explanation:

The size of the angle is 52 p

HELP ME PLEASE!!! 12 points!

Answers

Answer:

-18

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Parentheses first so

7-10=-3

then the brackets

-2-3-15=-20

-4-20=-24

so thats the numerator

the denominator is

2(-1)=-2

-20/-2= ?

We can remove the negative because two negatives make a positive then we would divide by 2

20/2=10

and that's our answer! :)

PLEASE HELP I REWARD BRAINLIEST!!!!!!!!!!!!!!
no silly answers please

Answers

Answer:

Step-by-step explanation:

If x=9, then x^2=81, because 9*9=81. -x^2=81, because -9*-9=81, and (-x)^2=81, because -9*-9=81.

If x=6, then x^2=36, because 6*6=36. -x^2=36, because -6*-6=36, and (-x)^2=36, because -6*-6=36.

Answer:

Keep in mind that x has a coefficient of 1.

x = 9

= 9² = 81

-x² = - 1 · 9² = -1 · 81 = -81

(-x)² = (-9)² = 81

x = -6

= -6² = -36

-x² = - 1 · -6² = -1 · 36 = -36

(-x)² = (-1 · -6)² = 36    

How much is 9396 divided by 18? Use partial quotients to answer.

Answers

Answer:

9396/18 is 522

A woman has a square garden for strawberry planting.2 of the sides have fencing.The fencing is 40m in length.Find the maximum possible area.

Answers

Answer:

The maximum possible area is 1,600 m.

Step-by-step explanation:

You already have the two sides so you just multiply 40×40 and that gives you the area.

i am confused and this is my last test on my khan academy due list

Answers

Answer:

[tex]3^{3}[/tex]= 3*3*3 or 27

[tex]4^{3}[/tex]= 4*4*4 or 64

[tex]3^{4}[/tex]= 3*3*3*3 or 81

Step-by-step explanation:

Hope this helps! :)

Answer:

[tex]X^{3}[/tex] = [tex]3^{3}[/tex] = 3*3*3 = 27    ( Because X is equal to 3 )

[tex]4^{X}[/tex] = [tex]4^{3[/tex] = 4*4*4 = 64

[tex]X^{4}[/tex] = [tex]3^{4}[/tex] = 3*3*3*3 = 81

Step-by-step explanation:

Hope this helps!

Tammy has 35 coins nickels and quarters. In all she has $4.15. How many of each kind of coin does she have

Answers

The currency called the U.S dollar can be split into smaller forms or currency value of itself. Examples of these smaller forms are: dimes, nickels, pennies, and quarters.

Tammy has 23 nickels and 12 quarters.

Let's represent the number of:

Nickels = n

Quarters = q

It is important to note that the value of:

1 nickel = $0.05

1 quarter = $0.25

Tammy has 35 coins nickels and quarters. This statement can be represented using an algebraic equation below:

n + q = 35

This can be rewritten as :

n = 35 - q

In all, she has $4.15. This statement can be represented using an algebraic equation below:

0.05n + 0.25q = 4.15

We substitute 35 - q for n in the above equation.

0.05(35 - q) + 0.25q = 4.15

1.75 - 0.05q + 0.25q = 4.15

Collect like terms

- 0.05q + 0.25q = 4.15 - 1.75

0.2q = 2.4

Divide both sides by 0.2

0.2q/0.2 = 2.4/0.2

q = 12

Therefore, the number of quarters Tammy has is 12.

Solving for the number of nickels, we have the equation:

n = 35 - q

n = 35 - 12

n = 23

Therefore, the number of nickels Tammy has is 23.

To learn more, visit the link below:

https://brainly.com/question/13312288

HELP ASAP WILL GIVE 15 points
Choose the function that includes the given points.

Answers

Answer:

Top Right

Step-by-step explanation:

all the brackets are in the form (X, Y), Y=P(x)

just replace the X's in the brackets with the X's in the Options, if P(x) is the number that's in place of Y in the brackets, then that option is the correct one, in this case the top Right one. if this helped, please mark as brainliest

Answer:

Top right/second answer is correct

Step-by-step explanation:

I did it

Solve the equation. Prove that it makes the equation true.
3b-8=d-6

Answers

Answer:

um just one question are you sure it's supposed to be d-6 instead of b-6

Step-by-step explanation:

if it's b-6 instead of d then the answer is 1

b= 1/3d + 2/3 , der

(4,-3),m=-1 in standard form

Answers

Answer:

Step-by-step explanation:

m = -1 ;  ( 4 , -3)

y - y1 = m(x - x1)

y - (-3) = -1(x - 4)

y+ 3 = -x + 4

Add  x to both side.

x +y + 3 = 0

Subtract 4 from both sides

    x + y  + 3 - 4 = 0

x +y - 1 = 0

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