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

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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

2.5+x =81−8.1 find x

Answers

The answer is x=70.4

Answer:

[tex] \sf \: x = 70.4[/tex]

Step-by-step explanation:

Given equation,

→ 2.5 + x = 81 - 8.1

Now the value of x will be,

→ 2.5 + x = 81 - 8.1

→ 2.5 + x = 72.9

→ x = 72.9 - 2.5

→ [ x = 70.4 ]

Hence, value of x is 70.4.

what is the gradient of the line (-4, 10) to (-2, 6)

Answers

Answer:

(2,-4)

Step-by-step explanation:

-4+2=-2

10+-4=10-4=6

PLSSS HLEPP ME OUTT ITS URGENTTTT​

Answers

Answer:

Step-by-step explanation:

(1860-11)=1849

√(1849) = 43

(A quick trial)

What is true about multiples of 6?
Each multiple will always be divisible by 3.

Each multiple will always end in a 6 or a 2.
Every multiple is an odd number.
Every other multiple is an odd number

Answers

Answer:

Each multiple will always be divisible by 3

Step-by-step explanation:

Answer:

the answer would be Each multiple will always be divisible by 3.

Which quantities appear to be in a proportional relationship?

Answers

Answer:

Two quantities have a proportional relationship if they can be expressed in the general form y = kx, where k is the constant of proportionality. In other words, these quantities always maintain the same ratio. That is, when you divide any pair of the two values, you always get the same number k.

USE THE CLUES TO CRACK THE CODE
The digits of the code are 4,4, 0, and 2.
The number is less than 1.
The value of the thousandths digit is
value of the hundredths digit.
the
10

Answers

Answer:

Is the answer 0.244? Not sure whether you are asking for help or asking for others to do.

Help me for 75 points.

Answers

Answer:

2.6% = 0.026

142% = 71/50

34% = 17/50

Which equation models the area of the geometric figure, below. Select all that apply:

Answers

Answer:

20x+50......

and 10(2x+5)

help rn please!! I’ll mark as brainliest for the first person to answer

Answers

Answer:

c is the answer for this hope it helps

Answer:

Option D

Step-by-step explanation:

The first two options don't make sense as absolute value is always positive.

The third option requires the answer to be within one interval but our answer is the combination of two intervals.

Let's verify if the last option is correct:

|2x - 3| - 1 > 4|2x - 3| > 51) 2x - 3 > 5 ⇒ 2x > 8 ⇒ x > 42) 2x - 3 < - 5 ⇒ 2x - 3 < -2 ⇒ x < - 1

So this option is matching the graph

Please help its due today and i have practically everything else filled out

Answers

Answer:

B(ans) quotient is negative. When you divide a positive number by a negative number then the quotient is also negative. When you divide two negative numbers then the quotient is positive. The same rules hold true for multiplication

how many solutions exist for the given equation?
1/2 (x + 12)= 4x - 1
zero
one
two
infinitely many​

Answers

Answer:

1

Step-by-step explanation:

as the maximum degree is 1

Can someone help me plz!!

Answers

Answer:

MRT or TRM

Step-by-step explanation:

RT and MR meet at point R. Point R must be included in the final angle as well as the endpoints of RT and MR. The resulting angle is thus MRT, or TRM

1) There are 44 dogwood trees currently in the park. Park workers will plant more
dogwood trees today. When the workers are finished there will bę 70
dogwood trees in the park. How many dogwood trees did the workers plant today?

Answers

Answer:

26

Step-by-step explanation:

there are already 44 dogwood trees

there will be 70 dogwood trees by the end of the day

we take how many dogwood trees there already are and subtract them from what there will be

70-44=26

what is the length of the diagonal of the rectangle?

Answers

Answer:

5 units

Step-by-step explanation:

To solve this we can use pythagoras theory:

a² + b² = c², where c is the diagonal3² + 4² = c²9 + 16 = 25c² = 25, so c = √25c = 5

Hope this helps!

C. 5 units is the correct answer


Subtract 2y - 3 from 8y-2.

Answers

Answer:

2(3y-2)

Step-by-step explanation:

Collect like terms

6y-4

Simple terms

2(3y-2)

HELP ME PLEASE!!!!! I NEED THIS BRAINIEST IF CORRECT ANSWER!!!!!

Answers

Answer:

- 3/4 feet per hour

Step-by-step explanation:

Rate of change is the slope.

Take two points on the graph and use the slope formula.

Points:

(0, 9) and (4, 6)

The slope is:

m = (6 - 9)/(4 - 0) = -3/4

An Investment of $10,000 yields 8% interest compounded quarterly.

What will be the accumulated capital after 6 months?
What will be the accumulated capital after 5 years?

Answers

An Investment of $10,000 yields 8% interest compounded quarterly.  The accumulated capital after 6 months is $10,404. The accumulated capital after 5 years is $14.859.47

From the information given;

The principal amount of investment = $10,000Interest Rate = 8% = 0.08number of times it get compounded = 4

a. we are to determine the amount of the accumulated capital after 6 months.

i.e. when time (t) = 6 months.

Now, using the formula for calculating the amount value of the accumulated capital:

[tex]\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}[/tex]

[tex]\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times \frac{1}{2}}}[/tex]

[tex]\mathbf{A = 10000(1.02)^2}}[/tex]

A = $10,404

b. we are to determine the amount of the accumulated capital after 5 years

i.e. when time (t) = 5 years

[tex]\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}[/tex]

[tex]\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times 5}}[/tex]

[tex]\mathbf{A = 10000(1.02)^20}}[/tex]

A = $14859.47

Therefore, we can conclude that the accumulated capital after 6 months is $10,404 and the accumulated capital after 5 years is $14859.47

Learn more about compound  interest here:

https://brainly.com/question/14295570?referrer=searchResults

-108y^4 - 4y
I just need the steps, screw the answer if you want.

Answers

Answer:

-4y(3y + 1) (9y^2 - 3y + 1)

Step-by-step explanation:

-108y^4 - 4y

= -4y(27y^3 + 1)

= -4y(3y + 1) (3^2y^2 - 3y + 1)

= -4y(3y + 1) (9y^2 - 3y + 1)

Answer:

-4y(3y + 1) (9y^2 - 3y + 1)

What is the surface area of a cube if it has one side that is 40 cm

Answers

the answer to that problem is 9600cm. each side of surface area will be the same multiplied together

A chess player played 44 chess games total. If he won 16 games, what is the ratio of the games. He lost to games he won​

Answers

28:16
can be simplified to: 7:4

Hope this helps, if you need further explanation feel free to ask in the comments of this answer, and if this was helpful please mark brainliest, thanks so much!
28:16 because you have to subtract 16 from 44 so that you can get the total games lost (28) so when you make the ratio it has to be in order from loses to wins which is 28:16

Hope this helped<3

Solve for x and y. (Geometry)
Can you also show the steps of how u did it

Answers

Answer:

y = 10

x = 25

Step-by-step explanation:

From the U theorem the sum of these two angles 120+2x+y = 180

same goes for the bottom part too:

2x-y+140 = 180 now add two equations up

120+2x+y + 2x-y+140 = 180 + 180 add like terms (-y will eliminate +y)

4x + 260 = 360 subtract 260 from both sides

4x = 100 divide both sides by 4

x = 25 since the sum of 2x-y+140 = 180 we can find the value of y by replacing x with 25

2*25 - y + 140 = 180

50 - y + 140 = 180 add like terms

190 - y = 180 subtract 190 from both sides

-y = -10 and y = 10

what is 27506 to the nearest 1000

Answers

28,000

Hope this helped :)
28,000 is the correct answer for this question! I hope i helped you out my friend.

You and a group of friends went out to eat at Red Lobster. Your bill came to $89.75. You gave the waitress a 28% tip. What is the total bill including the tip?

Answers

Answer:

tip total = $25.13

total(bill+tip) = $114.88

What is the slope of the line on the graph?

Enter your answer in the box.

Answers

Count from the point in the left to the point on the right.
Slope = rise/run
You go down 4 (rise is -4) and right 12 (run is 12)
Slope = -4/12 = -1/3

4х +4y +z= 24
2x – 4у +z= 0
- 3х + 6z =- 12

Answers

Answer:

4х +4y +z= 24 Correct

2x – 4у +z= 0 Correct

- 3х + 6z =- 12 Correct

Step-by-step explanation: I hoped I helped you yo.

Callie had $24.65 to spend on groceries. After buying 6 potatoes, she had $18.95 left. If each potato costs the same amount, what is the price of one potato?

Answers

Answer:

Step-by-step explanation:

cost of 6 potatoes=24.65-18.95=5.70 $

cost of 1 potato=5.70÷9=0.95 $

what are the two possible names for the line between a reflection

Answers

Answer:

Line m, because if you put a mirror on m, one figure will be truly reflected in another

line m.. it will be reflected with a mirror

Select the final coefficient (factor) and radicand after simplifying
372 +39–162 - 372

A) -9
B) 5
C) 16
D)-8
E)-4
F)6


Answers

it's C 16

hope it helps

#carry on learning!
-123…………………………………..…

The bus fare in a city is $2.00. People who use the bus have the option of purchasing a monthly coupon book for $24.00. With the coupon​ book, the fare is reduced to $1.00. Determine the number of times in a month the bus must be used so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book.
The bus must be used ? times.

Answers

Answer:

What fair

Step-by-step explanation:

helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

Step-by-step explanation:

a) $3.30/6kg = 0.55 dollars per kilogram

b) 448km/7h = 64 kiliometres per hour

For each unit rate, divide the units in where usually the biggest one is on top

Have a good one

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