A badminton tournament begins with 512 teams. If a team loses once, it is eliminated from competition. After the first round, 256 teams remain. After the 4th round, how many teams remain? How many rounds will be required to determine the champion?

Answers

Answer 1

Answer:

This is GP with the first term of 512 and common ratio of 1/2

The formula for nth term is:

aₙ = 512*(1/2)ⁿ

The number of teams after the 4th round:

a₄ = 512*(1/2)⁴ = 32 teams

Number of rounds to determine the champion:

1 = 512*(1/2)ⁿ2⁰ = 2⁹*2⁻ⁿ0 = 9 - n n = 9 rounds

Related Questions

what is the equation of the line that passes through the point (-5, 1) and has a slope of -6/5?

Answers

Answer:

y = -6/5x - 5

Step-by-step explanation:

Use rise over run to find the slope of the line, and the -5 comes from the y-intercept

What is the volume of the square pyramid?

Answers

To find the volume of a square-based pyramid, use the formula V = A(h/3), where V is the volume and A is the area of the base.

Please help meeeeeeeeeeeeeeeeeeeee​

Answers

67 but why couldn’t u just use a calc

Answer:

64 g

Step-by-step explanation:

Lets gather the Info

Amount needed = 161 g

Amount given = 97 g

Lets form an equation:

161 - 97 = x

x in this case is the number of grams needed to fulfill the amount needed.

161 - 97 = 64 g

He needs 64 g of cheese.

If my answer is wrong pls correct me.

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-Chetan K

PLEASE HELP! I WILL GIVE 5 STARS, A THANKS, AND BRAINLIEST IF CORRECT!


A health food store has launched a new pack of vitamins for children. The store records the number of packs ordered by a random sample of 100 online customers and the number of packs ordered by a random sample of 100 walk-in customers.


Which of the following inferences can be drawn about the buying pattern of the online customers versus that of the walk-in customers?


A. Online customers buy an average of five packs compared with walk-in customers, who buy an average of two packs.

A. Online customers buy an average of six packs compared with walk-in customers, who buy an average of three packs.

A. Online customers buy an average of five packs compared with walk-in customers, who buy an average of three packs.

A. Online customers buy an average of six packs compared with walk-in customers, who buy an average of two packs.

Answers

It would have to be the last one: Online customers buy an average of 6 packs compared with walk-in customers, who buy an average of 2 packs.
This is because more online customers buy the 6 pack than any other pack while the walk-ins buy mainly the 2 packs.

Answer:

The answer would be C: Online customers buy an average of 4 packs compared with walk-in customers, who buy an average of 2 packs.

Step-by-step explanation:

Help with number 3 please :)

Answers

Answer:

32

You’re... welcome?

Answer:

32

Step-by-step explanation:

The guest column is increasing at a rate of 8, so naturally, the next number would be 32. The cookie column is increasing by 3.

Write the decimal 0.0768 in words

Answers

Answer:

seven hundred sixty eight ten thousandths

Step-by-step explanation:

Answer:

Seven hundred sixty-eight ten-thousandths

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ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !

Answers

Answer:

Step-by-step explanation:

Jayla had some video games, and then she bought 4 more games. Now she has 10 games.
1) Write the equation that matches this situation.
2) Define the variable.
3) Find the solution.

Answers

Step-by-step explanation:

Jalya's video games = x

She bought four more = +4

Now what she has = 10

1. x+4=10

2. The variable x represents the unknown value of the video games Jayla had.

3. x+4=10(Group like terms)

x=10-4

x=6

A car travels a distance of 190 miles in 4
hours and 45 minutes.
Work out the average speed of the car, in
miles per hour.

Answers

Answer:

Speed = 40 miles/hour

Step-by-step explanation:

Distance (d) = 190 miles

Time (t) = 4 hr 45 min = 19 / 4 hours

Speed = distance / time

= 190 / (19/4)

= 40 miles/hour

The average speed is the total distance traveled by the object in a particular time interval.

The average speed of the car in miles per hour is 40 miles per hour.

What is an average speed?

The average speed is the total distance traveled by the object in a particular time interval.

We have,

Distance traveled in 4 hours and 45 minutes = 190 miles
Time = 4 hours and 45 minutes

This can be written in hours as:

= 4.75 hours

Average speed:

= Total distance / Total time

= 190 miles / 4.75 hours

Divide both the numerator and denominator by 4.75

= (190/4.75) / (4.75/4.75)

= 40 miles / 1 hour

Thus the average speed of the car in miles per hour is 40 miles per hour.

Learn more about average speed here:

https://brainly.com/question/12322912

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Find the unknown number 3m = 0.27

Answers

Answer: 0.09

Step-by-step explanation:

Divide 0.27 by 3

M=.09

The product of 9 and the sum of a number and 4.
PLease help

Answers

Answer:9*(n+4)

Step-by-step explanation:

Product means multiply

sum means add

We do the sum first

Let n be the unknown number

sum of a number and 4.

(n+4)

now do the product

9*(n+4)

Where do I put the parentheses in 21-8-6=7

Answers

Answer:

around 21-8 so the equation would look like this (21-8)-6=7

Step-by-step explanation:

you do this because if u put the parentheses around 8-6 you would get 21- (8-6)= 19 because 21 - 2 = 19 so you have to put them around 21-8 to get the right answer

65% of the total number of students are girls and there are 224 boys. find the percent of boys ? find the number of girls?​

Answers

ANSWER:

Well the percentage of boys would be 35%

I believe the number of girls is 416

hope this helps

A circle's radius is 19 inches. What is the circle's area?
Use 3.14 for pi and round your answer to the nearest tenth.

If you get it correct you will get Brainlyst

Answers

Answer: 1133.5

Step-by-step explanation:

Answer:

1133.5

Step-by-step explanation:

area = 3.14 (19)square

3.14 (361)

1133.54 ( round nearest ten)

1133.5

i’ll give you brainliest if you help me pleasee

Answers

Answer:

2nd im pretty sure hope this helpss :) (:

Step-by-step explanation:

GBC Is answer to the question.

A country's population in 1990 was 156 million. In 1996 it was 162 million. Estimate the population in 2016 using the exponential growth formula. Round your answer to the nearest million. P = Aekt Enter the correct answer.​

Answers

Answer:

184

Step-by-step explanation:

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer:

C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

csc\theta -cot\theta =\frac{sin}{1+cos\theta }

Answers

Answer:

Step-by-step explanation:

Left Hand Side

Change to sin(theta) and cos(theta)

csc(theta) = 1/sin(theta)

cot(theta) = cos(theta)/sin(theta)

1/sin(theta) - cos(theta)/sin(theta)                   Put over Sin(theta) Common denominator

[1 - cos(theta)] / sin(theta)                                Multiply numerator and denominator by 1 + cos(theta)

(1 - cos(theta)(1 + cos(theta) ) / sin(thata)*(1 + cos(theta))

(1 + cos(theta)(1 - cos(theta)) = 1 - cos^2(theta)

sin^2(theta) / (sin(theta)* ( 1 + cos(theta)

sin(theta) / (1 + cos(theta) )

Right hand Side.

See Above.

Give the most precise name for the quadrilateral. Then, find x and y.

a) square x=64 y=4
b) rhombus x=27 y=4
c) square x=27 y=4
d) rhombus x=64 y=20
e) parallelogram x=27 y=20

Answers

Answer:

B

Step-by-step explanation:

(2x - 1) + (2x - 1) + 127 + 127 = 360

n/b : opp angles of a rhombus are equal, sum of the interior angles of a quadrilateral is 360 and all sides of a rhombus are equal.

(4x - 2) + 254 = 360

4x - 2 + 254 = 360

4x = 360 - 252

4x = 108

x = 108/4

x = 27

6y - 3y = 3y + 7

6y - 3y = 7 + 5

3y = 12

y = 12/3

y = 4

A geology teacher takes her class on an annual field trip to analyze rock samples. They use randomized sets of
coordinates to select samples from two regions.
Suppose they examine a sample of 70 rocks from region A, which is composed of 15% igneous rock. Then they
examine a sample of 60 rocks from region B, which is composed of 20% igneous rock. Then they look at the
difference between the sample proportions (PA - B).
What are the mean and standard deviation of the sampling distribution of pA - PB?

Answers

Second option would be the answer

Suppose that 8% of college students are vegetarians. Determine if the following statements are true or false, and explain your reasoning.

a. The distribution of the sample proportions of vegetarians in random samples of size 60 is approximately normal since n >= 30.
b. The distribution of the sample proportions of vegetarian college students in random samples of size 50 is right skewed.
c. A random sample of 125 college students where 12% are vegetarians would be considered unusual.
d. A random sample of 250 college students where 12% are vegetarians would be considered unusual.
e. The standard error would be reduced by one-half if we increased the sample size from 125 to 250.

Answers

Step-by-step explanation:

we have p=proportion of vegetarian students=0.08

a. FALSE.

for normal approximations we must have np>=5 and n(1-p)>=5

here n=60 so np=60*0.08=4.8 which is less than 5.

hence normal approximation is not applicable.

b. TRUE.

for binomial proportion , the distribution is right skewed if 1-2p>0 or, 0.5>p

here, p=0.08 so 0.5>p is satisfied. hence it is rightly skewed.

c. FALSE.

here, n=125 which is quite large. hence normal approximation is applicable.

let phat be the sample proportion

then phat approximately follows a normal distribution with E[phat]=p=0.08

and variance=V[phat]=p(1-p)/n=0.08(1-0.08)/125=0.0005888

hence standard deviation=sqrt(0.0005888)=0.0242652

hence effective range of phat is [0.08-3*0.0242652,0.08+3*0.0242652]=[0.0072044,0.1527956]

12%=0.12 lies in this effective range.

hence it is not unusual.

In this exercise we have to classify whether the statements are true or false:

a) False

b) True

c) False

d) False

e) False

We have: [tex]p=proportion of vegetarian students=0.08[/tex]

a) FALSE.  

For normal approximations we must have:

[tex]np\geq 5 \\n(1-p)\geq 5[/tex]

Where [tex]n=60[/tex] so [tex]np=60*0.08=4.8[/tex]  which is less than 5. Hence normal approximation is not applicable.

b)TRUE.

For binomial proportion , the distribution is right skewed if :

[tex]1-2p>0 \\ 0.5>p[/tex]

Where, p=0.08 so 0.5>p is satisfied. hence it is rightly skewed.

c) FALSE.

Where, n=125 which is quite large. hence normal approximation is applicable. Let phat be the sample proportion then phat approximately follows a normal distribution with:

[tex]E[phat]=p=0.08[/tex]

and [tex]variance=V[phat]=p(1-p)/n=0.08(1-0.08)/125=0.0005888[/tex]

Hence standard deviation [tex]=sqrt(0.0005888)=0.0242652[/tex]

hence effective range of phat is:

[tex][0.08-3*0.0242652,0.08+3*0.0242652]=[0.0072044,0.1527956][/tex]

12%=0.12 lies in this effective range. Hence it is not unusual.

d) FALSE.

e) FALSE.

See more about proportion at : brainly.com/question/8704765

please help me i really really really need help please please help me please

Answers

9514 1404 393

Answer:

  ∠4 = 100°

Step-by-step explanation:

This has nothing to do with parallel lines.

Angles 1 and 4 are "vertical angles", hence congruent.

  ∠1 = ∠4 = 100°

_____

Vertical angles are on opposites sides of the intersection where lines cross.

Help plz

The commission system and the council-manager system were both new forms of
state government.
municipal government.
federal government.
county government.

Answers

Answer: B

Step-by-step explanation:

Answer:

municipal government.

Step-by-step explanation:

Please helppppppppppp

Answers

Answer:

Shredders. Paper shredders can help you effectively dispose of sensitive documents and protect your personal information, whether at home or in the office.

Step-by-step explanation:

Answer:

Can you give us the drop down answers?

Step-by-step explanation:

write - 5R - 5U in polar form​

Answers

Answer:

(r,0)

Step-by-step explanation:

5r - 5u = 5(r - u)

Polar time coordinate = 0

So (r, 0)

Solve the following equation without using a calculator.

log3(81)=y

Answers

Answer:hmmvb

Step-by-step explanation:

solve the proportion for x. 12/x = 15/24 ​

Answers

Answer:

i think x is 19.2

Step-by-step explanation:

solve x by cross multiplying

1242 hope this helps


The table below shows Abigail's earnings on the job.
1 pts
Time (hours) Earnings (dollars)
21
$709.80
23
$777.40
35
$1183
What is the unit rate or Constant of Proportionality shown in this table?
How much money does Abigail earn for each hour that she works?

Answers

Answer:

Option (2)

Step-by-step explanation:

In this question we have to calculate the rate of earning or proportionality constant of Abigail.

Since, earning of Abigail (y) ∝ Time worked (t)

y = kt

Here, k = Proportionality constant

From the table attached,

If y = $709.80 and x = 21 hours

709.80 = 21k

k = [tex]\frac{709.8}{21}[/tex]

k = $33.80 per hour

Therefore, rat of earning or proportionality constant is $33.80

Option (2) will be the correct option.

If the length of a diagonal of a square is 10 feet what is the length of a side of the square

Answers

the answer is 10ft hope I helped

14. Enzo needs to buy some sand for his sandbox. He can either buy a
10-pound bag of sand for $18 or a 6-kilogram bag of sand for $20.
a. Which is a better value? Explain.
b. If Enzo needs 18 pounds of sand, what should he buy so that
he spends the least amount of money overall? Explain.

Answers

Answer:

A: 6 kilo bag B: He should buy two 10 pound bags.

Step-by-step explanation:

Brainliest?

The 6-kilogram pack of sand for $20 is a better value. Then the amount of money for 18 pounds of sand will be $27.18.

What is the rate?

The rate is the ratio of the amount of something to the unit.

For example - If the speed of the car is 20 km/h which means the car travels 20 km in one hour.

Enzo requirements to get some sand for his sandbox. He can either purchase a 10-pound sack of sand for $18 or a 6-kilogram pack of sand for $20.

The rate in the first case is written as,

⇒ 18/10

⇒ $1.8 per pound

The rate in the second case is written as,

⇒ 20/6

⇒ $3.33 per kilogram

⇒ $1.51 per pound

The 6-kilogram pack of sand for $20 is a better value.

Then the amount of money for 18 pounds of sand will be given as,

⇒ $1.51 x 18

⇒ $27.18

Thus, the amount of money for 18 pounds of sand will be $27.18.

More about the rate link is given below.

https://brainly.com/question/14731228

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Division X makes a part with the following characteristics: Production capacity 29,500 units Selling price to outside customers $ 27 Variable cost per unit $ 20 Fixed cost, total $ 104,500 Division Y of the same company would like to purchase 10,045 units each period from Division X. Division Y now purchases the part from an outside supplier at a price of $26 each. Suppose Division X has ample excess capacity to handle all of Division Y's needs without any increase in fixed costs and without cutting into sales to outside customers. If Division X refuses to accept the $26 price internally and Division Y continues to buy from the outside supplier, the company as a whole will be Ensuring Employees have the necessary knowledge, skills, abilities and other talents to achieve work objectives falls under which of the following categories?1. Work design and Workforce planning 2. Managing Employee Competencies 3. Managing Employee attitudes and Behaviors 4. 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After FY 2024, free cash flows are expected to grow at a constant rate forever.Round-off your answers up to one place of decimal (For example, 1.56 should be rounded off as 1.6;1.55 should be rounded off as 1.6; 1.54 should be rounded off as 1.5). Do not use dollar sign ($) or comma (,) in your answers.A. What is the terminal value of the enterprise for Indooroopilly Ltd at the end of FY2024 in millions of dollars?B. What is the total enterprise value of Indooroopilly Ltd in million dollars at the beginning of FY2023 in millions of dollars?C. What is the value of equity per share of Indooroopilly Ltd in dollars at the beginning of FY2023 in dollars?