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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 greenredblueyellowblackwhitegreenredblueyellowblackAs 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.
Multiply out and simplify:
(x-8) (x-7)
To expand the brackets, each term in the first bracket must be multiplied by each term in the second bracket and then simplified:
(x-8) (x-7) = (x × x) - (7 × x) - (8 × x) + (8×7)
= x² - 7x - 8x + 56
= x² - 15x + 56
Answer: x^2-15x+56
Step-by-step explanation:
1-Distribute
x(x-7)-8(x-7)
2-Distribute
x^2-7x-8(x-7)
3-Distribute
x^2-7x-8x+56
4-Combine like terms
x^2-15x+56
Kết quả của phép tính : 2(x+1) là?
Answer:
2x + 2 is your using distributive property
Step-by-step explanation:
Answer:
2x +1 =))))
bạn mất gốc hả
10) y=-x-4 4 5 1514 -
1/5 is the slope and we can use (-4,0) as a starting point.
I NEED HELP PLEASE!!!!
Answer:
the answer is x=15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
since angles 84 and 5x + 9 are alternate interior angles they both are equal
i.e
5x +9 = 84
5x = 84 -9
5x = 75
x = 75/5
therefore x = 15
keep smiling
Water drains from a 60 gallon bath tub at a constant rate. It empties in 5
minutes. What is the rate?
10 gal/ minute
-10 gal/ minute
-12 gal/ minute
-15 gal/ minute
Answer:
-12 gal / min
Step-by-step explanation:
[tex] \frac{ - 60 \: gallon}{5 \: minutes} = - \frac{60}{5} = - 12[/tex]
what part of 63 is 18
Answer:
If you mean percent, its 350%
Answer:
1134
Step-by-step explanation:
1134/63=18
Find the value of x
4(x+9) = 3 (x+11) -1
Answer:
Step-by-step explanation:
4(x+9)= 3(x+11)-1
=4x+36=3x+33-1
=4x+3x= 36+33-1
7x=68
x=9.7
x=10.
\text{walmart sells 6oz bottle of laundry detergent for 4.80. what is the price per ounce
SHOW ME HOW YOU SOLVED IT!
Answer:
Wsg luh girl
Step-by-step explanation:
Which equation represents a line which is parallel to the y-axis?
Answer:
x= 3
Step-by-step explanation:
I hope this helps but if there are options lmk
Answer:x= -2
Step-by-step explanation:
Find the area and perimeter of
the parallelogram:
17ft
12ft
15ft
Answer:
Hi there!
Here is your answer...
The Area of the Parallelogram is:
[tex]204ft^{2}[/tex]The Perimeter of the Parallelogram is:
[tex]64ft[/tex]
Step-by-step explanation:
To find the Area of a Parallelogram you must first identify the Base and Height. In this instance the Base would be the top and bottom which we know are 17ft in length. The Height would be the dotted line that we know it 12ft tall. The next step would be to Multiply the Base by the Height. That would give us 204. After we add the correct units we have [tex]204ft^{2}[/tex].
To find the Perimeter we would simply add together all side lengths. We know that the top and bottom are equal to 17ft and the left and right are equal to 15 feet. This gives us 17+17+15+15. Which would equal 64, add the units and it becomes [tex]64ft[/tex].
Area=base x height
Perimeter = base + base + angle +angle
(angle is the side length.)
State the domain and range of the following function.
Answer:
Answer C
Step-by-step explanation:
seeing as how the x coordinates of the points are 2,3,4,6,7, we know that the answer must have these numbers, and only these numbers, as the domain. The only answer that has that is answer C.
MITHUN'S UNCLE IN AMERICA HAD SENT HIM 10 USA DOLLARS AS A GIFT. MITHUN USED 350 RUPEES FOR A SCHOOL TRIP. HOW MUCH MONEY WAS LEFT WITH HIM?
PLEASE ANSWER FAST WILL MARK AS BRAINLIEST AND THI QUESTION IS OF 50 POINTS
Answer:
He had $47 left from the school trip
You buy a new notebook for school the notebook cost to buy or one dollar Martha comes to $3.46And the taxIs 6%How much of the percentWhat is the markupAnd whatIs your finalPrice for The notebook with tax
Answer:
AHHHH I LOVE YOUR PROFILE PICTURE GOKU IS THE BEST <3 :D
Which models show the problem 4
6
÷ 2
6
= 2? Check all that apply.
An area model has 4 shaded parts and 2 unshaded parts. 2 circles are each drawn around 2 shaded parts.
A number line going from 0 to 1. An arrow goes from 0.6 to 0.4, and from 0.4 to 0.
A fraction bar. The top bar is labeled 1. 6 bars underneath the bar are labeled one-sixth. 4 of the bars are circled.
An area model has 2 shaded parts and 4 unshaded parts. The 2 shaded parts are circled.
Answer:
the second and last sentences.
Step-by-step explanation:
Its the most reasonable!
Answer:
It is accutally 1st 2nd and 3rd plz trust me
Step-by-step explanation:
it is the corect
please help I will make Brainliest if correct (show working)
Answer:
I beleive X=2
Area is 24
Step-by-step explanation:
X=2 because the side with B has 4cm and on the other it has 6 but the 4 can be put into 6 and 6-4 is 2 if that made any sense
The area is 4 times 2= 8 and then 8 times 2 is 16
16+8=24
70+2e+3e=180° answere me
Answer:
2e+3e=180-70
5e=110
e=110÷5
e=22
which line is parallel to the line whose equation is 4x 3y = 7, and also passes through the point (- 5, 2)?
Answer: [I assume: "4x 3y = 7" is really 4x + 3y = 7]
y = -(4/3)x -14/3
Step-by-step explanation:
Rewrite this as y=mx+b, where m is the slope.
4x + 3y = 7
3y = -4x +7
y = -(4/3)x +(7/3)
The slope is -(4/3)
A parallel line will have the same slope, but a specific value of b to allow it to go through the given point (-5,2):
y = -(4/3)x + b
Enter the point and solve for b:
2 = -(4/3)(-5) + b
2 = (20/3) + b
b = 2 - (20/3)
b = 6/3 - 20/3
b = -14/3
y = -(4/3)x -14/3
.The sum of the angles of a polygon is 900⁰ .How many sides does it have
Answer:
heptagon
Step-by-step explanation:
Help me please!! i beg
Eat the Legendry Fruit: And play King legcy
Step-by-step explanation:
Which two numbers are 4 units from -2?
Answer:
-6 and 2
Step-by-step explanation:
look left and right on number line. count 4 places over going both ways
2tanx - 3cotx + 1 = 0
Answer:
475767u5yttuyy
Step-by-step explanation:
phobrovicodibfofiffivonf
A fishing boat radioed the Coast Guard for a helicopter to pick up a sick crew member. At the time of the message, the boat is 660 kilometers from the helicopter and heading toward it. The average speed of the boat is 30 kilometers per hour, and the average speed of the helicopter is 300 kilometers per hour. How long will it take the helicopter to reach the boat
please help me :)
see image below
Answer:
x=6
Step-by-step explanation:
2x+5=17
-5 -5
2x=17-5
2x=12
x=6
Answer:
2x+5=17 is x = 6, so 17 --> -5 --> ÷2 I hope this helps! :D
From his home, Dan would have to walk due north to get to his friend Samuel's house and due east to get to his friend Cindy's house. It is 3 kilometers from Dan's house to Cindy's house and a straight-line distance of 5 kilometers from Samuel's house to Cindy's house. How far is Dan's house from Samuel's house?
The distance from Dan's house to Samuel's house is 4 km
The distance from Dan to Samuel house, Dan to Cindy house and Samuel to Cindy house forms a right angled triangle.
Distance from Dan to Samuel house = x, Distance from Dan to Cindy house = 3 km and Distance from Cindy to Samuel house = 5 km
Pythagoras theorem shows the relationship between the lengths of a right angled triangle.
Using Pythagoras theorem:
5² = x² + 3²
25 = x² + 9
x² = 16
x = 4 km
Hence the distance from Dan's house to Samuel's house is 4 km
Find out more at: https://brainly.com/question/21846482
guys pls help me!!!!!!
Answer:
x= 55
y=125
Step-by-step explanation:
y = 180 - 55
hope it's correct
A 10 kg bag of potatoes costs $5. Write a formula for the cost of potatoes.
Answer:
10/5
Step-by-step explanation:
10 bags =5$
therefore one kg equals 10/5
how do you find common multiples and factors explain
Answer:
We can find the common multiples of two or more numbers by listing the multiples of each number and then finding their common multiples. For example, to find the common multiples of 3 and 4, we list their multiples and then find their common multiples. Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, ...
HELPPPP PLEASEEEE will give brainliest
Answer:
I think it's the 3rd or fourth one. I'm not positive tho
Please help me
This is a 45-45-90 triangle.
What is the measure of x?
X
х
X
= V[?]
Answer:
x = [tex]\sqrt{3}[/tex]
Step-by-step explanation:
the ratio of side to hypotenuse in a right triangle is 1 : [tex]\sqrt{2}[/tex]
in this problem we can use 'x' in place of 1 and [tex]\sqrt{6}[/tex] in place of [tex]\sqrt{2}[/tex] to create a proportion like this:
1/x = [tex]\sqrt{2}[/tex]/[tex]\sqrt{6}[/tex]
cross-multiply to get:
[tex]\sqrt{2}[/tex]·x = [tex]\sqrt{6}[/tex]
x = [tex]\frac{\sqrt{6}}{\sqrt{2}}[/tex]
x = [tex]\sqrt{3}[/tex]
Hello if you answer this question i will post another question giving 100 points
Answer:
ok?
Step-by-step explanation:
Brainliest?Answer:
what's your question even-