A hockey game between two teams is 'relatively close' if the number of goals scored by the two teams never differ by more than two. In how many ways can the first 12 goals of a game be scored if the game is 'relatively close'?

Answers

Answer 1
Final answer:

This question falls under the combinatorial mathematics branch. Due to the complex nature of the problem which involves permutations and combinations, it's necessary to use a systematic approach or a computer algorithm to find the total number of scoring sequences that keeps the game 'relatively close'. Hence, the actual numerical answer would require a stronger background in combinatorics.

Explanation:

This question belongs to the subject of combinatorial mathematics, particularly involving permutations and combinations. In this scenario, 'relatively close' is defined as the number of goals scored by the two teams never differing by more than two. The total number of goals scored in the game is twelve.

Let's denote the two teams as Team A and Team B. The game can start in three ways: either Team A scores twice, Team B scores twice, or each team scores once. After that, at any point, the next goal can either maintain the score within the 'relatively close' range of two goals or equalize the score.

Determining the total number of scoring sequences under these conditions requires generating a tree diagram and counting all the possible paths, subject to the condition that the absolute difference between the number of goals for the two teams does not exceed two at any stage. Due to the combinatorial complexity, this task could be difficult without using a systematic approach or computer algorithm.

Therefore, to actually answer this question, one would require a stronger background in combinatorics, and most likely the assistance of programming or mathematics software to execute a brute force count or implement a more advanced mathematical solution.

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Related Questions

I'll give brainliest if you show your work. Plz answer quickly.
Which two numbers does Square root of 52 lie between on a number line?
7.0 and 7.1
7.1 and 7.2
7.2 and 7.3
7.3 and 7.4

Answers

7.2 and 7.3 and I honestly just did guess and check
Square root of 52 = 7.2111

That lies between 7.2 and 7.3

Hope this helped!

The measure of an angle is 63 degrees. What is the measure if it’s supplement

Answers

The measure of it's supplement is 117. You do 180 minus 63 and that makes 117.

The required angle is measured as 117 degrees which it's a supplement, the measure is 63 degrees.

What are supplementary angles?

Supplementary angles are defined as angles whose pairings sum up to 180°. Supplementary angles are classified into two categories.

Angles that are adjacent: Supplementary angles are of the type adjacent angles. Adjacent angles share a side and a vertex, such as a corner point. Their points are not in any sense overlapping. In other terms, adjacent angles are pairs of two angles near each other.

We have been given that the measure of an angle is 63 degrees.

To determine the measure if it’s a supplement

We know that supplementary angles whose pairings sum up to 180°

Let the required supplement angle would be x

As per the property of supplementary angles, we can write the equation as:

⇒ x + 63° = 180°

⇒ x = 180° - 63°

⇒ x = 117°

Therefore, the measure of its supplement angle is 117 degrees.

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Me and my mate Dave order pizzas.I eat six eights of mine, Dave only manages two sevenths of his. If we put the remains together,can we make one whole pizza?

Answers

No, because 6/8 + 2/7 > 1

graph the quadratic function f(x)=(x−4)(x+2).

Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

GRAPH FOR BRAINLIEST

Answers

see attached picture:
 vertex (1,-9)

Answer:

(1,-9) and (0,-8)

Step-by-step explanation:

clothing store buys coats for $50 and then sells them for $80. what is the percent of increase om the price of the coat?

Answers

% Change Formula=
(new # - original #) ÷ original # x 100

= (80-50)/50 x 100
= 30/50 x 100
= 0.60 x 100
= 60%

ANSWER: There is a 60% increase on the price of the coat.

Hope this helps! :)

60% is the percent of increase om the price of the coat.

What is the percentage?

The ratio of two numbers that has no dimensions is what is known as a percentage. It may be used to determine how much one number exceeds another when comparing two figures, or it is used to compare the two statistics to a uniform grid.

The clothes are brought for $50

The selling price is $80

% Change Formula=

(Selling price / cost price ) ÷ cost price# x 100

= (80-50)/50 x 100

= 30/50 x 100

= 0.60 x 100

= 60%

The cost of the coat has increased by 60%.

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Need help with this, thanks.

Answers

13. 39
14. 2(x+4)
15. 24
16. 11(x+5)
17. 6(4x+3y)
18. 8(2x+10y)
19. 5(2x+3)

Hope this helped☺☺

Answer:

13. 27 + 12 = 39

14. 2x+8/2 = 2(x + 4)

15. 8+ 16 = 24

16. 11x=55/11 = 11(x + 5)

17. 24x + 18y/6 = 6(4x + 3y)

18. 16x + 40y/8 = 8(2x + 5y)

19. 10x + 15/5 = 5(2x + 3)

I truly hope that this was helpful.

Sandy's orchard has only apple trees and pear trees and she is wanting to add some avocado trees. Currently, there are 4 apple trees for every 3 pear trees. She is wanting to plant enough avocado trees so that she has 2 avocado trees for every 5 pear trees in the orchard.
Sandy is planting 18 avocado trees, making the ratio of avocado trees to apple trees be to .

Answers

For every 3 pears there are 4 apples; therefore 1 pear = 1.33 apple.And in every 5 pears, there are 2 avocados; therefore 1 avocado = 2.5 pears.Since there are 18 avocado trees, the number of pears would be 45 pear trees. And since there are 45 pear trees, there will be 59.85 apple trees, rounding it off to 60 apple trees. So the ratio of avocado trees to apple trees would be 18 to 60 or 18: 60.

Hope this helped☺☺

(I think this is the answer)

Answer:

3 to 10 OR 3:10

Step-by-step explanation:

how many pairs of parallel sides does the quadrilateral appear to have

Answers

Where is the quadrilateral?
There are 4 parallel sides but has 2 pairs of parallel sides.

What is the slope of this line?

Answers

Hello!

To find slope, calculate the change in y-values and divide it by the change in x-values:

y1 - y2 / x1 - x2

You have the coordinates (-4, 5), (0, 6), and (8, 8). You can use any combination of two of these points to calculate slope. I'll use (0, 6) and (8, 8).

6 - 8 / 0 - 8
-2 / -8
1/4

Answer:
The slope of the line is 1/4
Hello there! Slope is rise/run. The formula for finding slope is y2 - y1/ x2 - x1, where you subtract the first x and y-coordinates from the second s and y-coordinates. We will use the points (0, 6) and (8, 8). The values will represent each of these:

y2 = 8
y1 = 6
x2 = 8
x1= 0

That makes the problem 8 - 6/ 8 - 0. Let's subtract. 8 - 6 is 2. 8 - 0 is 8. 2/8 is 1/4 in simplest form. There. The slope of the line is 1/4.

Which of the following are geometric sequences?

(check all that apply)

A. 2,-2,2,-2,2,-2,2

B. 1,4,9,16,25,36,49

C. 10,5,2.5,1.25,0.625,0.1325

D. 1,2,4,8,16,32

Answers

A. 2,-2,2,-2,2,-2,2
C. 10,5,2.5,1.25,0.625,0.1325
and
D. 1,2,4,8,16,32
Are all geometric sequences

This means that each sequential # is derived by either multiplying or dividing by a number.

For instance, A. is found by multiplying each by - 1, B. is found by multiplying each by 1/2 (0.5), and D. is found by multiplying each by 2

I'll give brainliest if you show your work. Plz hurry.
Which statements are true? Check all that apply.
A square root of 1.8<1.8 (This 1.8 is not Square root)
A square root of 1.8>1 (This 1 is not a Square root)
A square root of 1.8< 1.9 (This 1.9 IS IS IS a square root)
1.3 A square root of 1.9+ the square root of 1.8>2
A square root of 1.9- the square root of 1.8>0.1

Answers

Answer:

Step-by-step explanation:

Given are some statements and we have to check which are true

I) True since [tex]\sqrt{1.8} =1.341<1.8[/tex]

2) True since [tex]\sqrt{1.8} =1.341>1[/tex]

3) True [tex]\sqrt{1.8} =1.341<\sqrt{1.9}[/tex]

4) True since [tex]\sqrt{1.9} +\sqrt{1.8} \\=1.378+1.341\\=2.719>2[/tex]

5) False since

[tex]\sqrt{1.9} -\sqrt{1.8} =1.378-1.341\\=0.037<0.1[/tex]

Answer:

1234

Step-by-step explanation:

You are biking to the park. After 6 minutes, 40% of the distance still needs traveled. How long does it take to bike to the park? Write an equation that represents the percent y of the distance that still needs traveled after x minutes.

An equation is y= ___ It takes minutes to bike to the park.

It takes ____ minutes to bike to the park.

SOLVE FOR BLANKS

Answers

Final answer:

The student takes 10 minutes to bike to the park. The equation representing the percent of the distance still to be traveled after x minutes is y = 100 - 10x.

Explanation:

To solve for the total time it takes to bike to the park, we need to consider that after 6 minutes, 40% of the distance still needs to be traveled. This implies that in those 6 minutes, the student has completed 60% of the journey. If 6 minutes represent 60%, we can find the time representing 100% of the journey (the total time to bike to the park) by setting up a proportion where x is the total time.

60% of x = 6 minutes
(0.60)x = 6
x = 6 / 0.60
x = 10 minutes

Therefore, the equation that represents the percent y of the distance that still needs traveled after x minutes is y = 100 - 10x. To verify, after 6 minutes (when x = 6), the equation gives us y = 100 - 10(6), which is y = 100 - 60, and that equals 40%. This matches the initial condition that 40% of the distance is left at that point.

It takes 10 minutes to bike to the park.

The width of a rectangular garden is 9 feet, and its length is 12 feet. Three of these expressions equal the perimeter of the garden, in feet.

Answers

perimeter is calculated as follows
                                           
perimeter = sum of all the sides of the rectangle
                   
rectangle consists of 4 sides of which longer sides are called the length - L and shorter side is the width - W.
There are 2 lengths and they are equal and 2 widths and they are equal in size. perimeter = L + L + W + W = 2L + 2W
                                 
substituting the values in the equation
P = 2L + 2W
           
P = (2 x 12) + (2 x 9) 
P = 24 + 18 = 42 feet

Answer with explanation:

Width of Rectangular Garden = 9 feet

Length of rectangular Garden = 12 feet

Perimeter of any polygon = Sum of length of all sides

Perimeter of Rectangle =Length + Breadth+Length + Breadth

                   = 2×(Length + Breadth )

                  = 2 × (12 +9)

                  = 2 × 21

                  = 42 feet

So,the expression which will be equal to perimeter of Rectangle =42 feet

The scatter plot shows the relationship between the weekly hours spent on social media and the weekly hours spent reading, by the students of a middle school:



What is the y-intercept of the line of best fit and what does it represent?

6 hours; the number of hours students read when they do not spend time on social media
6 hours; the number of hours students spend time on social media when they do not read
8 hours; the number of hours students read when they do not spend time on social media
8 hours; the number of hours students spend time on social media when they do not read

Answers

8 hours; the number of hours students spend on social media when they do not read.

Answer:

The correct answer is - 8 hours; the number of hours students spend on social media when they do not read.

Step-by-step explanation:

The y intercept is marked as hours spent on social media.

So, the answer is :

8 hours; the number of hours students spend on social media when they do not read.

Which of the following options is a better purchase for a microwave? A. $5 down with equal payments of $10 for 15 weeks B. $10 down with equal payments of $5 for 24 weeks C. $0 down with equal payments of $15 for 9 weeks D. $20 down with equal payments of $10 for 11 weeks

Answers

B. Option 1 is the better purchase

B. $10 down with equal payments of $5 for 24 weeks.

sarita use 54 ounces of apples to make an apple pie how many pounds and ounces of apples did sarita use

Answers

one pound is 16oz. So you take 54 and minus it by 16 until you get something less that 16. Then you take how many times you subtracted it, and that is how many pounds. Then you take the "leftover" number and they you have your answer. 
so Sarita used 3 pounds and 8 oz. 
Hello,

Here is your answer:

The proper answer to this question is "3".

Here is how:

54 ounces= 3.375 pounds (rounded to 3)

1 pound=16 ounces

Your answer is 3.

If you need anymore help feel free to ask me!

Hope this helps!

There are 136 people waiting for a river raft ride.Each raft holds 8 people Silvia

Answers

Hello,

Here is your answer:

The proper answer to this question is that they need "17 rafts".

Here is how:

All you have to do is divide 136 by 8!

Use this equation:

136/8=17

Your answer is 17 rafts.

If you need anymore help feel free to ask me!

Hope this helps!

Please explain I don’t know how to do this‍♀️

Answers

[tex]V_{Cone} = \frac{1}{3} * \pi *radius^2 * height[/tex]
r = 1.2, h = 2.9
[tex]V_{Cone} = \frac{1}{3} * \pi *(1.2)^2*2.9 \\ V_{Cone} = \frac{1}{3} * \pi *4.176 \\ V_{Cone} = 4.37 in^3[/tex]

solve for x: A=2xy what is the answer

Answers

the answer is x= A/2y
x =A/2y
thats the only answer based on information you given

Claire's backyard is in the shape of a rectangle and has a length of 19.5 feet it cost her 945 to fence in the yard if fencing costs 15 per foot what is the width of Claire's backyard

Answers

If Claire's backyard is in the shape of a rectangle and has a length of 19.5 feet it cost her 945 to fence in the yard if fencing costs 15 per foot, then the width of Claire's backyard would be 12 feet.

To find the width of Claire's backyard, we'll first calculate the perimeter of the rectangle using the given length and the total cost of fencing. Then, we'll use the perimeter to find the width.

The perimeter of a rectangle is given by the formula:

[tex]\[ \text{Perimeter} = 2 \times (\text{Length} + \text{Width}) \][/tex]

Given that the length of Claire's backyard is 19.5 feet and the total cost of fencing is $945 at $15 per foot, we can calculate the perimeter using the cost of fencing:

[tex]\[ \text{Perimeter} = \frac{\text{Total cost}}{\text{Cost per foot}} \][/tex]

[tex]\[ \text{Perimeter} = \frac{945}{15} = 63 \text{ feet} \][/tex]

Now, we'll use the perimeter formula to find the width:

[tex]\[ 63 = 2 \times (19.5 + \text{Width}) \][/tex]

Divide both sides by 2:

[tex]\[ 31.5 = 19.5 + \text{Width} \][/tex]

Subtract 19.5 from both sides:

[tex]\[ \text{Width} = 31.5 - 19.5 = 12 \text{ feet} \][/tex]

So, the width of Claire's backyard is 12 feet.

The complete question is:

Claire's backyard is in the shape of a rectangle and has a length of 19.5 feet it cost her 945 to fence in the yard if fencing costs 15 per foot what is the width of Claire's backyard

a train traveled 1/5 of the distance between two cities in 3/4 hour. at this rate, how many hours will it take the train to travel the entire distance between these two cities

Answers

Im not sure but it might be six

On the first day of a conference, 10 rows of 6 chairs are set out in a meeting room. The second day, in the same room, 3x more rows with 5x more chairs are set out. Which of the following equations could be used to determine the number of chairs set out in the meeting room on the second day?

A. y = (15x^2 + 60) chairs

B. y = (15x^2) chairs

C. y = (15x^2 + 16) chairs

D. y = (15x^2 +68x +60) chairs

Answers

For this case, what we should do is write the equation step by step to find the total result.
 We have then:
 first day of a conference:
 10 rows of 6 chairs are set out.
 number of chairs set out: (10) * (6) = 60
 Second day of a conference:
 3x more rows with 5x more chairs are set out.
 number of chairs set out: (3x + 10) * (5x + 6) = 15x ^ 2 + 18x + 50x + 60
 number of chairs set out: 15x ^ 2 + 68x + 60

 Answer:
 to determine the number of chairs set out in the meeting room on the second day we use:
 D. y = (15x ^ 2 + 68x +60) chairs

a recipe calls for 4 tsp of baking soda and 1 fl oz of vanilla which measurment is greater?

Answers

In this problem, you are asked to compare two measurements in different units of measure. The first step to solve this problem is to make the other measurement have the same unit of measure as the other one. You convert 4 tablespoon to fl oz.

1 tsp = 0.5 fl oz

4 tsp = 2 fl oz

Comparing the two measurements, you can conclude that the 4 table spoon (equivalent to 2 fl oz) of baking soda is greater than 1 fl oz of vanilla.

Yolanda participated In a walkathon in which each kilometer walked raised $10 for charity, her goal was to raise more more than $300 on Saturday and Sunday she raised $50 on Saturday which inequality is it?

Answers

x= amount of money needed on sunday

50+x(greater or equal to)300

Answer: The required inequality will be 50+x>$300

Step-by-step explanation:

Since we have given that

Amount raised for charity = $10

Amount raised on Saturday = $50

Amount raised on both Saturday and Sunday is more than $300.

Let the amount raised on Sunday be 'x'.

So, Inequality becomes,

Saturday + Sunday > $300

50+x>$300

x>$300-$50

x>$250

So, On Sunday he must raised more than $250.

Hence, the required inequality will be

50+x>$300

Madison drove from Atlantic City to newmark. Madison drove for 284 miles at a constant speed of 58 mph how long did it take for Madison to get there?

Answers

4.89 Hours
284 divided by 58 is 4.89
You would divide 284 by 58 because she is going at a constant speed.
284 divided by 58 = 4.89 (approximately)
It took Madison 4.9 hours to get there.


incorrect, 4.3.37

In how many ways can a committee of four

men and three

women be formed from a group of ten

men and six

​women?

Answers

The number of ways is given directly using the formula:
[tex]C_{10}^4\times C_6^3\\\text{wherein }C_n^k=\dfrac{n!}{k!(n-k)!}.\text{ Using the formula we get:}\\C_{10}^4\times C_6^3=\dfrac{10!}{4!(10-4)!}\dfrac{6!}{3!(6-3)!}\\=4200[/tex]
(Use a calculator in order to reach the above result.)
So tête number of ways is 4200.
2 with a remainder of one man

In a scale drawing of an apartment 1 centimeter represents 2 3/4 feet. If the length of the kitchen is 4 1/2 centimeters on the scale drawing, what is the actual length in feet of the kitchen

Answers

The answer should be 12.375ft

For the solution of this question we will use a technique called the Unitary Method. In this method we find the value of a single unit, which is 1, and then finding the necessary value by multiplying the single unit value.

In our case we are already given the value of the single unit which is 1 centimeter. And it is also given in the question that 1 centimeter =2 3/4 feet. Thus, If the length of the kitchen is 4 1/2 centimeters on the scale drawing, then the actual value of the length of the kitchen will be:

Length = [tex] 2\frac{3}{4}\times 4\frac{1}{2} = \frac{11}{4}\times \frac{9}{2}=\frac{99}{8} =12\frac{3}{8} [/tex] feet



Janine wishes to conduct a poll to predict how many dance club members will vote for her for club president.

Which polling methods are likely to be biased?

Select each correct answer.

Janine chooses 5 members that plan on voting for her and asks each to select another 5 members. These 25 members are asked for whom they intend to vote.

Every 10th club member from a list of all members is selected and asked for whom the member intends to vote.

From a list of all club members, 25 members are selected at random and asked for whom they intend to vote.

Five of Janine's friends are selected and asked for whom they intend to vote.

Answers

the answer choice: Five of Jainie's friends are selected and asked for whom they intend to vote is the right answer because friends tend to be bias.

The polling methods likely to be biased are when Option d. Five of Janine's friends are selected and asked for whom they intend to vote.

When conducting a poll, it is important to ensure the sampling method is random and representative. Here are the methods and their potential biases:

Janine chooses 5 members that plan on voting for her and asks each to select another 5 members. These 25 members are asked for whom they intend to vote. — This method is likely to be biased because it relies on the initial selection of supporters, which creates a non-random and unrepresentative sample.Every 10th club member from a list of all members is selected and asked for whom the member intends to vote. — This method is less likely to be biased as it uses systematic sampling, which is more representative of the entire population.From a list of all club members, 25 members are selected at random and asked for whom they intend to vote. — This method is unlikely to be biased because it employs a simple random sample, ensuring each member has an equal chance of being selected.Five of Janine's friends are selected and asked for whom they intend to vote. — This method is likely to be biased due to the convenience sampling of her friends, which is not representative of the entire club.

Hence option D is likely to be biased.

Complete question:

Janine wishes to conduct a poll to predict how many dance club members will vote for her for club president.

Which polling methods are likely to be biased?

Select each correct answer.

a. Janine chooses 5 members that plan on voting for her and asks each to select another 5 members. These 25 members are asked for whom they intend to vote.

b. Every 10th club member from a list of all members is selected and asked for whom the member intends to vote.

c. From a list of all club members, 25 members are selected at random and asked for whom they intend to vote.

d. Five of Janine's friends are selected and asked for whom they intend to vote.

a large aquarium 18 inches deep holds 30 gallons of water. a small aquarium with the same shape holds 20 gallons of water. how deep is the small aquarium to the nearest inch?

Answers

20 so -10 from 30 so the 18 is -10 right hope dis helped

Four days before the 1997 500 Festival Parade, a fire destroyed 10 of the 14 floats. People wanted to know if the parade would be canceled. During the first two days after the fire, the Festival received an average of 22 incoming calls a minute. How many calls did the Festival receive in an hour? How many calls did the receive in 12 hours?

**The parade went off as planned four days later. More than 250,000 people lined the streets to view huge posters and replicas of the floats.

Answers

There are 1,320 calls every hour.. in 12 hours there are 14,760 calls.
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Sexual reproduction is associated with _____.mitosismeiosisbinary fission Mount Everest is the highest mountain in the world. Its peak is at an elevation of 8,848 meters (29,028 feet) above sea level. If you were standing on top of Mount Everest, which layer of the atmosphere would you be in? Someone a short distance away, to whom you have been paying no attention, quietly speaks your name, and suddenly you attend to that person. this is an example of _________. How to tell whether a slope is positive negative zero or undefined? Please help me on that question for my Algebra. I don't understand it.Also, how would you rate my pfp? How could you start a persuasive speech on littering what could be an attention grabber In a six-sided dice game, a prize is won if the arithmetic mean of number rolled is 3.25-3.75. In a second game, a prize is won if the arithmetic mean is more than 4.5. In which game would you rather roll the dice 20 times or 200 times Write the equation of the line, in standard form, that passes through the origin and is parallel to x + y = 6. Include your work in your final answer. I understand the answer is x + y = 0I want to understand how that is determined. Using point slope form and all that., If you are involved in a boating accident, what is the first thing you should do? 3/7x + 4 = -1/2explain pls Which diagram could be used to prove ABC ~ DEC using similarity transformations?(from top to bottom, first pictures top option is A for example)A.B.C.D. Dr vickman conducted a__________ factorial design to examine the effects of music and room temperature on participants memory. participants were randomly assigned to study a list of nonsense words either listening or not listening to music in either a warm or cold room what is pachydermophobia and how do you get it two students used two balls to make a scale model of the earth/moon system. the earth model was 24 cm in diameter. when they finished, what were the final dimensions of the model system Read the following passage:As the New England weather gets colder, we enjoy watching the Canada Geese as they migrated south for the winter.Based on the clues, what is the most likely definition of the word migrate?to swimto moveto flyto walk Write a loop that reads strings from standard input where the string is either "land", "air", or "water". the loop terminates when "xxxxx" (five x characters) is read in. other strings are ignored. after the loop, your code should print out 3 lines: the first consisting of the string "land:" followed by the number of "land" strings read in, the second consisting of the string "air:" followed by the number of "air" strings read in, and the third consisting of the string "water:" followed by the number of "water" strings read in. each of these should be printed on a separate line. assume the availability of a variable, stdin, that references a scanner object associated with standard input. What common goal did the revolutions throughout the Austrian Empire have? He nurse delegates the care of a multiparous client who gave birth to a viable term neonate vaginally 30 hours ago and is preparing to be discharged to a licensed practical/vocational nurse (lpn/vn). the nurse should instruct the lpn/vn to notify the nurse if the client exhibits which sign or symptom? What is the name given to the power of the federal government to take private land for public use? A. postal power B. domestic policy C. territorial power D. eminent domain What is the equation of the line described below written in slope-intercept form? the line passing through point (0, 0) and parallel to the line whose equation is 3x + 2y - 6 = 0