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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.
Solve for x and y. (Geometry)
Can you also show the steps of how u did it
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
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?
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 = 4a. 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
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
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?
Answer:
tip total = $25.13
total(bill+tip) = $114.88
what are the two possible names for the line between a reflection
Answer:
Line m, because if you put a mirror on m, one figure will be truly reflected in another
what is 27506 to the nearest 1000
Can someone help me plz!!
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
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.
Answer:
What fair
Step-by-step explanation:
PLSSS HLEPP ME OUTT ITS URGENTTTT
Answer:
Step-by-step explanation:
(1860-11)=1849
√(1849) = 43
(A quick trial)
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?
Answer:
Step-by-step explanation:
cost of 6 potatoes=24.65-18.95=5.70 $
cost of 1 potato=5.70÷9=0.95 $
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
hope it helps
#carry on learning!Which equation models the area of the geometric figure, below. Select all that apply:
Answer:
20x+50......
and 10(2x+5)
What is the surface area of a cube if it has one side that is 40 cm
4х +4y +z= 24
2x – 4у +z= 0
- 3х + 6z =- 12
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.
2.5+x =81−8.1 find x
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.
Please help its due today and i have practically everything else filled out
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
what is the length of the diagonal of the rectangle?
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 = 5Hope this helps!
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?
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
Help me for 75 points.
Answer:
2.6% = 0.026
142% = 71/50
34% = 17/50
what is the gradient of the line (-4, 10) to (-2, 6)
Answer:
（2,-4）
Step-by-step explanation:
-4＋2＝-2
10＋-4＝10-4＝6
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
Answer:
Is the answer 0.244? Not sure whether you are asking for help or asking for others to do.
Subtract 2y - 3 from 8y-2.
Answer:
2(3y-2)
Step-by-step explanation:
Collect like terms
6y-4
Simple terms
2(3y-2)
-108y^4 - 4y
I just need the steps, screw the answer if you want.
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)
how many solutions exist for the given equation?
1/2 (x + 12)= 4x - 1
zero
one
two
infinitely many
Answer:
1
Step-by-step explanation:
as the maximum degree is 1
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
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?
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.
HELP ME PLEASE!!!!! I NEED THIS BRAINIEST IF CORRECT ANSWER!!!!!
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) = -3/4What is the slope of the line on the graph?
Enter your answer in the box.
help rn please!! I’ll mark as brainliest for the first person to answer
Answer:
c is the answer for this hope it helps
Answer:
Option DStep-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 < - 1So this option is matching the graph
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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