Based upon a long period of record keeping the following represents the probability distribution of the number of times the John Jay wifi network is slow during a week. We call the random variable x.

x 0 1 2 3 4 5 6
p(x) .08 .17 .21 k .21 k .13

a. What is the value of k?

b. Calculate the expected value of x.

c. Calculate the expected value of x^2
.

d. Calculate the variance of x.

e. Calculate the standard deviation of x

f. Calculate the variance of 3x.

g. Suppose that network slowness is independent from week to week. What is the probability that if we look at 5 separate weeks, the network has no more than 4 slow times in any of those weeks?

h. Calculate the variance of the random variable x^2

Answers

Answer 1
Given a table representing the probability distribution of the number of times the John Jay wifi network is slow during a week. We call the random variable x.

[tex]\begin{tabular} {|c|c|c|c|c|c|c|c|} x&0&1&2&3&4&5&6\\[1ex] p(x)&.08&.17& .21& k& .21& k& .13 \end{tabular}[/tex]



Part A:

The total value of p(x) = 1.

Thus,

.08 + .17 + .21 + k + .21 + k + .13 = 1

0.8 + 2k = 1

2k = 1 - 0.8 = 0.2

k = 0.2 / 2 = 0.1

Therefore, the value of k is 0.1



Part B:

The expected value of x is given by

[tex]E(x)=\Sigma xp(x) \\ \\ =0(0.08)+1(0.17)+2(0.21)+3(0.1)+4(0.21)+5(0.1)+6(0.13) \\ \\ =0+0.17+0.42+0.3+0.84+0.5+0.78=3.01[/tex]

Therefore, the expected value of x is 3.01



Part C:

The expected value of [tex]x^2[/tex] is given by

[tex]E(x^2)=\Sigma x^2p(x) \\ \\ =0^2(0.08)+1^2(0.17)+2^2(0.21)+3^2(0.1)+4^2(0.21)+5^2(0.1)+6^2(0.13) \\ \\ =0(0.08)+1(0.17)+4(0.21)+9(0.1)+16(0.21)+25(0.1)+36(0.13) \\ \\ =0+0.17+0.84+0.9+3.36+2.5+4.68=12.45[/tex]

Therefore, the expected value of [tex]\bold{x^2} [/tex] is 12.45



Part D:

The variance of x is given by

[tex]Var(x)=E(x^2)-(E(x))^2 \\ \\ =12.45 - (3.01)^2=12.45-9.06 \\ \\ =3.39[/tex]

Therefore, the variance of x is 3.39.



Part E

The standard deviation of x is given by

[tex] \sqrt{Var(x)} = \sqrt{3.39} =1.84[/tex]

Therefore, the standard deviation of x is 1.84.



Part F:

The variance of ax, where a is a constant is given by

[tex]Var(aX)=a^2Var(X)[/tex]

Thus, the variance of 3x is given by

[tex]Var(3X)=3^2Var(X)=9(3.39)=30.51[/tex]

Therefore, the variance of 3x is 30.51.



Part G:

The probability that the network has no more that 4 slow times in one week is given by

[tex]P(x\leq4)=P(0)+P(1)+P(2)+P(3)+P(4) \\ \\ =0.08+0.17+0.21+0.1+0.21=0.77[/tex]

Since, the network slowness is independent from week to week, the probability that if we look at 5 separate weeks, the network has no more than 4 slow times in any of those weeks is given by

[tex](0.77)^5=0.27[/tex]

Therefore, the probability that if we look at 5 separate weeks, the network has no more than 4 slow times in any of those weeks is 0.27



Part H:

The variance of x^2 is given by

[tex]Var(x^2)=E((x^2)^2)-(E(x^2))^2=E(x^4)-(E(x^2))^2[/tex]

[tex]E(x^4)=\Sigma x^4p(x) \\ \\ =0^4(0.08)+1^4(0.17)+2^4(0.21)+3^4(0.1)+4^4(0.21)+5^4(0.1) \\ +6^4(0.13) \\ \\ =0(0.08)+1(0.17)+16(0.21)+81(0.1)+256(0.21)+625(0.1)\\+1,296(0.13) \\ \\ =0+0.17+3.36+8.1+53.76+62.5+168.48=296.37[/tex]

Thus,

[tex]Var(x^2)=296.37-(12.45)^2=296.37-155.00=141.37[/tex]

Therefore, the variance of the random variable [tex]\bold{x^2}[/tex] is 141.37

Answer 2

Answer:.1

Step-by-step explanation:


Related Questions

plz help me so confused

Answers

OK so for the first one, you have 3 TVs for 1200 dollars. The 90 dollars is a 1 time cost. so what u want to do is multiply 3 by 1200 and then add 90.

which simplified fraction is equal to 0.17...?

A. 9/17

B. 8/45

C. 17/9

D. 16/90

Answers

9/17 = .529411...
8/45 = .17777 (the seven repeats)
17/9 = 1.8888 (the eight repeats)
16/90 = .17777 (the seven repeats)

While B and D both equal approximately 1.7. B is the simplified form, So B is the answer

Brainliest would be fantastic :) Have a nice day.
Hi there!

In order to find the simplified fraction that equals to 0.17, we need to take all the options given and start dividing them until we find the one that equals to 0.17

So, let's get started....

A) 9/17 = 0.52  So this NOT the answer
B) 8/45 = 0.17 This is the answer
C) 17/9 = 1.88
D) 16/90 = 8/45 = 0.17
Here is where the trick is. You see that B and D has the same final answer. Well, they ask for the simplified fraction. D or 16/90 was not simplified until we simplified it. But the others were already simplified. So, that's why we eliminated D.

So, the correct answer is option B

Good luck!

Abe is going to plant 54 oak trees and 27 pine trees. Abe would like to plant the trees in rows that all have the same number of trees and are made up of only one type of tree. What is the greatest number of trees Abe can have in each row?

Answers

Abe is going to plant 54 oak trees and 27 pine trees
 greatest number of trees Abe can have in each row =?
54 = 2 x 27
27 = 1 x 27
Now 27 is the common in both numbers and also is the greatest number
So, there are 2 rows of oak trees and 1 row of pine trees and all the rows have 27 number of trees.


Answer:

27 trees in each row

Step-by-step explanation:

Abe is going to plant 54 oak trees and 27 pine trees

 greatest number of trees Abe can have in each row =?

54 = 2 x 27

27 = 1 x 27

Now 27 is the common in both numbers and also is the greatest number

So, there are 2 rows of oak trees and 1 row of pine trees and all the rows have 27 number of trees.

Alan is building a garden shaped like a rectangle with a semicircle attached to one short side. If he 21) has 20 feet of fencing to go around it, what dimensions will give him the maximum area in the garden?

Answers

Let the short side be W


The half circumference of the semi-circle = .5 * pi *W


2Lengths + width + semicircle = 20 ft


2L + W + (.5*pi*W) = 20


2L + W + 1.57W = 20


Combine like terms



2L + 2.57W = 20


Simplify divide by 2


L + 1.285W = 10


L = (10 - 1.285W); for substitution:


Get the area equation:


Rectangle area + semicircle area


A = L * W + (.5*pi*(.5W) ^2)


A = LW + (1.57*.25W^2)


A = LW + .3925W^2


Replace L with (10-1.285W)


A = W(10-1.285W) + .3925W^2


A = -1.285W^2 + .3925W^2 + 10W


A = -.8925W^2 + 10W

Find W by finding the axis of symmetry of this equation a=-.8925, b=10


W = -10 / 2 * (-.8925)



W = -10 / -1.785


W = 5.60 is the width for max area


then we solve for the length


L = 10 - 1.285(5.60)


L = 10 – 7.20 = 2.8 ft is the length

Then, Check the perimeter


2(2.8) + 5.60 + 1.57(5.60) = 20ft


5.6 + 5.6 + 8.736 = 20ft


Rectangle: 2.8 by 5.60 has semicircle circumference 8.736 has a maximum area: (2.8*5.60) + (.5 * pi * 2.8 ^ 2)


=15.68 + 12.31


=28 sq/ft

Consider a point on the trans-australian highway, where two old wombats live. arrivals of cars at this point follow a poisson distribution; the average rate of arrivals is 1 car per 12 seconds.

Answers

Given that the arrivals of cars at the trans-australian highway follow a poisson distribution with the average rate of arrivals as 1 car per 12 seconds.

This is a Poisson distribution with a mean of 1 car every 12 seconds.

Part A:

The probability of a Poisson distribution is given by:

[tex]P(X=x)= \frac{e^{-\lambda}\lambda^x}{x!} [/tex]

Given tha one of the old wombats requires 12 seconds to cross the highway, and he starts out immediately after a car goes by.

The probability he will survive is the probability that no car passes through the point in the next 12 seconds.

[tex]P(x=0)= \frac{e^{-1}(1)^0}{0!} =e^{-1}=0.368[/tex]

Therefore, the probability that he will survive is 0.368



Part B:

Given that at the same point of the highway there is another old wombat, slower but tougher than in the previous exercise. He requires 24 seconds to cross the road, but it takes two cars to kill him. (A single car won’t even slow him down. The arrival rate of cars is still one car per 12 seconds.)

Since the arrival rate of cars is one car per 12 seconds, then, in 24 seconds the arrival rate is 2 cars. (i.e. λ = 2)

The probability that he survives is the probability that 2 cars did not pass through the point.

[tex]P(X\neq2)=1-P(X=2)=1- \frac{e^{-2}(2)^2}{2!} =1-0.135=0.865[/tex]

Marcel is planning a vacation. The travel agent says the average high temperature at the resort is 20 degrees Celsius. What is the equivalent Fahrenheit temperature

Answers

Final answer:

The equivalent Fahrenheit temperature for 20 degrees Celsius is 68 degrees Fahrenheit.

Explanation:

To convert Celsius to Fahrenheit, you can use the formula: F = (C × 9/5) + 32

Using this formula, we can calculate the equivalent Fahrenheit temperature for 20 degrees Celsius:

F = (20 × 9/5) + 32 = 68 degrees Fahrenheit

What is 7 divided by 28

Answers

7 divided by 28 can be expressed as a fraction:

7/28

To simplify this divide the numerator and the denominator by the greatest common factor. In this case, it is 7.

7 ÷ 7/ 28÷ 7
1/4

Hope this helps!

7 divided by 28 is 1/4 or 0.25.

To calculate 7 divided by 28.

What is simplification?

Simplification is defined as solving mathematical problems using arithmetic operators.


7 divided by 28 = 7/28
                           = 1/4
                           =  0.25


Thus, 7 divided by 28 is 1/4 or 0.25.

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162x + 731 = −y − 9x-2 vertex form

Answers

There is a typo in the quadratic term.

I am goint to solve this question assuming that the correct expression is 162x + 731 = - y - 9x^2

Now, you should know that the vertex form is y = a(x - h)^2 + k, where the vertex is (h,k).

So, we just must transform the quadratic function into that form. To do that you must complete squares. I will do it step by step

start: 162 x + 731 = - y - 9x^2

1) Transpose terms:

y = - 9x^2 - 162x + 731

2) extract common factor ot the two terms with x^2 and x.

y = - 9 (x^2 + 18x) + 731

3) complete squares for x^2 + 18x, which is (x + 9)^2 - 81

=>   y = - 9 [ ( x + 9)^2 - 81 ] + 731

4) solve the square brackets

=> y = - 9 (x + 9)^2 - 9*81 + 731

=> y = - 9(x + 9)^2 -729 + 731

=> y = - 9 (x + 9)^2 + 2

Answer: y = - 9 (x + 9)^2 + 2


Final answer:

To write the given equation in vertex form, we need to complete the square for the x terms. The vertex form of a quadratic equation is y = a(x-h)^2 + k, where (h, k) is the vertex of the parabola. After completing the square and rearranging the equation, we find that the equation in vertex form is y = 171(x + 7391/4) - 17113/4.

Explanation:

To write the given equation in vertex form, we need to complete the square for the x terms. The vertex form of a quadratic equation is given by y = a(x-h)^2 + k, where (h, k) is the vertex of the parabola.

Let's rearrange the equation to isolate the x terms on one side and the y term on the other side: 162x + 9x + y = -731 - 2

Combine like terms: 171x + y = -733

Now, we can complete the square for the x terms. Divide the coefficient of x by 2 and square the result. Add this value to both sides of the equation: 171x + y + (171/2)^2 = -733 + (171/2)^2

Simplify: 171x + y + 7391/4 = 17113/4

Finally, we can rewrite the left side as a binomial squared and simplify the right side: 171(x + 7391/4) + y = 17113/4

Therefore, the equation in vertex form is: y = 171(x + 7391/4) - 17113/4

P(4,13);Q(13,13) find the slope

Answers

The slope is 0 since both y values are the same, meaning the line is just straight.

If x = -2 and y = 2, then which of the following statements is false?

Answers

The answer is C. The | [] | means the amount from 0. |2| is not less than 1. The other ones are true.

a picnic start at 12:10 pm .kevin arrives at 1:40 pm the picnic continues until 3 pm.how much time elapsed betwwen the picinic and keven arrivals

Answers

50 minutes
1 hour 20 minute

Final answer:

To determine the time elapsed between the start of the picnic and Kevin's arrival, subtract the start time (12:10 pm) from Kevin's arrival time (1:40 pm), which results in 1 hour and 30 minutes.

Explanation:

To find out the amount of time that elapsed between the start of the picnic and Kevin's arrival, we subtract the start time of the picnic from the time Kevin arrived. The picnic started at 12:10 pm and Kevin arrived at 1:40 pm.

Step-by-step calculation:

Convert the times into a 24-hour format to avoid any confusion.12:10 pm is 12:10 in 24-hour format.
1:40 pm is 13:40 in 24-hour format.Subtract the start time of the picnic from Kevin's arrival time.13:40 - 12:10.Calculate the difference in hours and minutes.Kevin arrived 1 hour and 30 minutes after the picnic started.

Which function has a vertex at the origin?

f(x) = (x + 4)^2
f(x) = x(x – 4)
f(x) = (x – 4)(x + 4)
f(x) = –x^2

Answers

[tex]\bf \qquad \textit{parabola vertex form}\\\\ \begin{array}{llll} y=a(x-{{ h}})^2+{{ k}}\\\\ x=a(y-{{ k}})^2+{{ h}} \end{array} \qquad\qquad vertex\ ({{ h}},{{ k}})\\\\ -------------------------------\\\\ -x^2\implies -(x-\stackrel{h}{0})^2\stackrel{k}{+0}[/tex]

Answer:

fdx = x-4 2

Step-by-step explanation:The test was right

Which property is represented by the number sentence shown below?

6+(4+5) = (6+4)+5

A. Commutative property of multiplication
B. Associative property of addition
C. Commutative property of addition
D. Associative property of multiplication

If you can also explain how you got the I’ll appreciate it.

Answers

Associative property of addition.

This means that no matter where you put the parenthesis, you will get the same solution.

Hope this helps!
It is b Associative property of addition

given that 2/3a=16, which of the following illustrates how the multiplicative inverse property can be used to find the value of a?

Answers

multiplying both side by 3/2
2/3a×3/2 = 16×3/2
a= 8×3 = 24

Step-by-step explanation:

We have been given that [tex]\frac{2}{3}a=16[/tex].

Since multiplicative inverse property states that any number multiplied by its reciprocal is equal to one.

[tex]\frac{2}{3}\times \frac{3}{2} =1[/tex]

To solve for a let us divide 16 by [tex]\frac{2}{3}[/tex].

[tex]a=16\div \frac{2}{3}[/tex]

Since dividing a number by fraction is same as multiplying the number by the reciprocal of fraction. So we will multiply 16 by [tex]\frac{3}{2}[/tex].

[tex]a=16\times\frac{3}{2}[/tex]

[tex]a=8\times 3[/tex]

[tex]a=24[/tex]

We can see that to solve for a we have multiplied 16 by [tex]\frac{3}{2}[/tex] and [tex]\frac{3}{2}[/tex] is reciprocal of [tex]\frac{2}{3}[/tex].

Let us verify our answer by substituting a=24 in our given equation.

[tex]\frac{2}{3}\times 24=16[/tex]

[tex]2\times 8=16[/tex]

[tex]16=16[/tex]

Hence, to find the value of a we used multiplicative inverse property.

Help Dana find the sum 346 421 152
For numbers 13a-13d, select yes or no to tell Dana when to regroup

Answers

To add and get the sum 
  346   
  421
+152

We start on the ones place 6 + 1 + 2 = 9, the sum of the digits in the ones place is not up to 10, we will not regroup this ones place.

So, basically the answer to 13a is NO.
Since we are not able to regroup the ones place there is no regrouped tens to add, therefore the answer to 13b is also NO.

Next is the tens place, 4 +2 +5 = 11, the sum of the digits in the ones place is up to 10 so we regroup the tens place.

Thus, the answer to 13c is YES.

Since, we regrouped the ones place, we add the regrouped hundred, thus the answer to 13d is YES.

Finally, for the hundred place, 1 + 3 + 4 + 1 = 9

Therefore, the sum of 
    346
    421
+  152
is 919

There is a value of $a$ such that subtracting $a-4$ from $4a+16$ gives an answer of $-25$. What is that value of $a$?

Answers

A is -15
4a + 16 - a + 4 = -25
3a + 20 = -25
3a = -45
A = -15

Answer:

a = -15

Step-by-step explanation:

Let's rewrite the exercise in math language.

We have to subtract a-4 from 4a+16 to get -25, that is

4a+16 - (a-4) = -25

The minus sign that is just before the parenthesis changes all the signs inside it. Therefore, if we want to delete the parenthesis, we need to change the signs before.

4a + 16 - a + 4 = -25

Now we can associate the terms with an a between them and the terms without it from the left side of the equation.

3a + 20 = -25

Let's subtract 20 on both sides.

3a + 20 - 20 = -25 - 20

3a = -45

Finally, we divide by 3 on both sides

3a/3 = -45/3

a = -15

For the function f(x) = x + 4, what is the ordered pair for the point on the graph when x = 3p? a. (x, x + 4) b. (x, 3p + 4) c. (3p, x + 4) d. (3p, 3p + 4)

Answers

any point for any function is in the form(x,f(x))
since x=3p then(3p,f(3p)) f(x)=x+4 so f(3p)=3p+4
therefore the point will be D.(3p,3p+4)

There are 46 kids in the After-school Club. Today they're going to the pool at the Community Center. If each minivan can take 6 kids, they'll need 8 minivans for all the kids. Do you agree or disagree? Explain your thinking.

Answers

Yes, for 6 x 8 = 48, and 48 > 46

you have to have enough buses for each person, and none of them are walking, and so you will need 8 minivans

hope this helps

A circle with a central that measures 1° has a radius of 10 inches. Find the length of the intercepted .

Answers

[tex]\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}\quad \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\ ------\\ \theta =1\\ r=10 \end{cases}\implies s=\cfrac{1\cdot \pi \cdot 10}{180}[/tex]

in which number does the 6 have a value that is one tenth the value of the 6 in 34, 761

Answers

Final answer:

The 6 in 600 has a value one tenth the value of the 6 in 34, 761.

Explanation:

The question asks in which number does the 6 have a value that is one tenth the value of the 6 in 34, 761.

To find the answer, we need to compare the place value of the 6 in both numbers. In 34, 761, the 6 is in the thousands place, and its value is 6,000. To have a value that is one tenth of 6,000, the 6 would need to be in the hundreds place in the other number.

So, the number in which the 6 has a value one tenth the value of the 6 in 34, 761 would be 600.

Final answer:

The number 6 in 2,001.06 is one-tenth the value of the 6 in 34,761.

Explanation:

The number 6 in 34,761 has a value that is one-tenth the value of the 6 in the number 2,001.06.

To find this, we can compare the place values of the two 6's. The 6 in 34,761 is in the ones place, while the 6 in 2,001.06 is in the tenths place.

Since the tenths place is one place to the right of the ones place, the value of the 6 in 2,001.06 is one-tenth the value of the 6 in 34,761.

Evaluate (1/2^-2) + 1/2

Answers

It would be 4.5. Hope this helps!

find f(-2) for f(x)=2×3^x
a.-18
b.1/18
c.-36
d.2/9

Answers

f(-2) = 2• 3^-2
f(-2)= 2• 1/ (3^2)
f(-2) = 2/9
Answer is d.

Samuel order four did from an online music stores. Each dvd cost 9.99$. He has a 20% discount code and sales tax is 6.75%. What is the total cost of the order

Answers

If Samuel ordered 4 DVDs at $9.99 each then you multiply $9.99 x 4= $39.96.  

Then you need to remember the 20% discount $39.96 - 20%= $39.96 x .20= 7.99 (if you need to show your work) Then subtract $7.99 from $39.96=$31.97 

Next you have to factor in the tax. $31.97 + 6.75% = $31.97 + 2.16= $34.13 for Samuel's total order

multiply 4 by 9.99 for cost of the 4 dvd's

9.99 *4 = 39.96

20% discount is: 39.96 *0.20 = 7.99

39.96 - 7.99 = 31.97

now add the sales tax:

31.97 * 1.0675 = 34.13

 total cost is $34.13

A school employs 30 teachers.how many will there be if there is a 10% reduction

Answers

whats the question bro?    
Final answer:

If a school has 30 teachers and there is a 10% reduction, there will be 27 teachers remaining.

Explanation:

If a school employs 30 teachers and there is a 10% reduction, we can calculate the number of teachers after the reduction by multiplying the initial number of teachers by (100% - 10%) = 90%. So, there will be 30 * 0.90 = 27 teachers after the reduction.

Learn more about Percentage Reduction here:

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Find the greatest common factor of 36 and 72

Answers

Answer:

  36

Step-by-step explanation:

36 is a factor of both numbers

_____

If the smaller divides the larger with no remainder, then the smaller number is the greatest common factor.

If there is a remainder, replace the larger number with that and repeat the process.

) find the solution of y"+2y'=64sin(2t)+64cos(2t) with y(0)=9 and y'(0)=9

Answers

the answer is -172
Clearly people

can anyone help me in pre-cal
tan^2 x = tan x
sin^2 x = sin x

Answers

They will equal each other at the angles when they are equal to 1. This is because 1^2=1. Tan is 1 at pi/4 and 5pi/4. Sin is 1 at pi/2

After a power failure, the temperature in a freezer increased an average rate of 2.5 Fahrenheit per hour. The total increase was 7.5 Fahrenheit. Right and solve any Quetion to find the number of hours until the power was restored.

Answers

I think the equation you're looking for may be y = -7.5 + 2.5x

hope this helps!

Derivative of y = cos(x-1)/(x-1)

Answers

Answer:

[tex]\displaystyle y' = \frac{- \cos (x - 1)}{(x - 1)^2} - \frac{\sin (x - 1)}{x - 1}[/tex]

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Addition/Subtraction]:                                                         [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]  

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Derivative Rule [Quotient Rule]:                                                                           [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]

Derivative Rule [Chain Rule]:                                                                                 [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = \frac{\cos (x - 1)}{x - 1}[/tex]

Step 2: Differentiate

Derivative Rule [Quotient Rule]:                                                                   [tex]\displaystyle y' = \frac{\Big( \cos (x - 1) \Big)'(x - 1) - \cos (x - 1)(x - 1)'}{(x - 1)^2}[/tex]Trigonometric Differentiation [Derivative Rule - Chain Rule]:                   [tex]\displaystyle y' = \frac{- \sin (x - 1)(x - 1)'(x - 1) - \cos (x - 1)(x - 1)'}{(x - 1)^2}[/tex]Basic Power Rule [Derivative Properties]:                                                   [tex]\displaystyle y' = \frac{- \sin (x - 1)(x - 1) - \cos (x - 1)}{(x - 1)^2}[/tex]Simplify:                                                                                                         [tex]\displaystyle y' = \frac{- \cos (x - 1)}{(x - 1)^2} - \frac{\sin (x - 1)}{x - 1}[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Can the leaves of an ordered rooted tree have the universal address 1.1, 1.2.1, 1.2.2, 1.2.3, 2.1, 2.2.1, 2.3.1, 2.3.2, 2.4.2.1, 2.4.2.2, 3.1, 3.2.1, 3.2.2? if so, identify such an ordered rooted tree.

Answers

A pine is just such a tree.
The following picture illustrates what the rooted tree would look like. By following the branches, you will reach all of the addresses indicated in the question
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