Please help! Correct answer only please! I need to finish this assignment by today.

Sweet Dreams Bakery recently sold 4 brownies and 14 other desserts. What is the experimental probability that the next dessert sold will be a brownie?

Simplify your answer and write it as a fraction or whole number.

P(brownie) =

Use the 3-point curved line drawing tool to draw the average cost curve for quantities q = 1, q = 2, and q = 3. Connect these points smoothly to form the average cost curve.

To calculate the formulas for average fixed cost (AFC), marginal cost (MC), average variable cost (AVC), and average cost (AC) based on the cost function C = 6 + 8q, we can use the following equations: Average Fixed Cost (AFC): AFC = Total Fixed Cost (TFC) / Quantity (q). Since the cost function C = 6 + 8q does not have any fixed cost component, AFC would be zero. Marginal Cost (MC): MC = Change in Total Cost (ΔTC) / Change in Quantity (Δq). The cost function C = 6 + 8q has a constant marginal cost of 8. Average Variable Cost (AVC): AVC = Total Variable Cost (TVC) / Quantity (q). Since the cost function C = 6 + 8q does not have any variable cost component, AVC would be the same as MC, which is 8.

Average Cost (AC): AC = Total Cost (TC) / Quantity (q); AC = (Total Fixed Cost + Total Variable Cost) / Quantity; AC = (6 + 8q) / q; AC = 6/q + 8. Now, for the graphical representation: Use the line drawing tool to draw the marginal cost curve, which is a straight line with a slope of 8. Label this line 'MC'. Use the 3-point curved line drawing tool to draw the average cost curve for quantities q = 1, q = 2, and q = 3. Connect these points smoothly to form the average cost curve. Label this curve 'AC'. Please note that the shape and position of the curves will depend on the specific quantities chosen, but the general trend will be a downward-sloping MC curve intersecting the U-shaped AC curve.

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Given:

The population of N = 9 scores is 4, 2, 0, 5, 3, 2, 1, 7, 3

Required:

Sketch a histogram showing the population distribution.

Explanation:

Make a frequency table for the given data as:M

Answer:

Step-by-step explanation:

Pedometer

If the null hypothesis is true in a chi-squared test, then we expect the test statistic to be approximately equal to its expected value.

In a chi-squared test, the null hypothesis is the statement that there is no significant association between two variables. If the null hypothesis is true, then we expect the test statistic to be approximately equal to its expected value. The expected value is calculated using the degrees of freedom and the expected frequency of each category in the contingency table.

The chi-squared test statistic is calculated by subtracting the observed frequency from the expected frequency for each category and then squaring the result. These squared differences are then summed across all categories to calculate the chi-squared test statistic.

If the null hypothesis is true, we expect the test statistic to be close to its expected value. This is because when the null hypothesis is true, the observed frequencies should be close to the expected frequencies. Therefore, the squared differences should be small, resulting in a small test statistic.

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The measure of the central angle for the group that likes the program would be approximately 125 degrees in a circle graph.

A circle graph, also known as a pie chart, is a type of graph that is used to represent data as a circle divided into sectors. The size of each sector represents the proportion or percentage of the data that falls into that category.

To find the measure of the central angle for the group that likes the program, we first need to calculate the total number of students surveyed:

Students total:

190 + 135 + 220 = 545

The proportion of pupils who approve of the programme needs to be determined next:

Percentage of students who like the program = (190/545) x 100% ≈ 34.86%

To find the measure of the central angle, we need to multiply the percentage by 360 degrees:

Measure of central angle = 34.86% x 360° ≈ 125.49°

Rounding this answer to the nearest whole number gives:

Measure of central angle ≈ 125°

Therefore, the measure of the central angle for the group that likes the program would be approximately 125 degrees in a circle graph.

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The height of Mateo's player based on the congruency with Jalissa's player is 4.1 inches.

As stated, both the MP3 players are congruent. This means the dimensions of both the players will be same.

Now, the volume of the rectangular prism is calculated using the formula -

Volume = length × width × height

Height = 4.92/(2.4 × 0.5)

Performing multiplication on denominator on Right Hand Side of the equation

Height = 4.92/1.2

Performing division on Right Hand Side of the equation

Height = 4.1 inches

Hence, the height of Mateo's player is 4.1 inches.

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As the value x approaches infinity, the function 5 cos(x), which can also be abbreviated as DNE, continues to grow without limit.

It is necessary to investigate the behaviour of the function as x gets increasingly larger in order to identify the limit of the 5 cos(x) expression as x approaches infinity. By doing this, we will be able to determine the extent of the limit. The value of the cosine function, which is symbolised by the symbol cos(x), fluctuates between -1 and 1 as x continues to increase without bound. This suggests that the values of 5 cos(x) will also swing between -5 and 5 as the function develops. This is the case since x approaches infinity as the function evolves.

The limit does not exist because the function does not attain a specific value but rather continues to fluctuate back and forth. This is the reason why the limit does not exist. To put it another way, there is no single value that can be defined as the limit of 5 cos(x), even as x becomes closer and closer to infinity. This is because 5 cos(x) is a function of the angle between x and itself. Take a look at the graph of the function; there, we can see that there are oscillations that occur at regular intervals. This can make it easier for us to picture what is taking place. As a consequence of this, the answer that was provided for the limit problem is "does not exist," which is abbreviated as "DNE."

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Answer:

The factored form is,

\((4a^2+2a+1)(4a^2-2a-1)\)

Step-by-step explanation:

We have,

\(16a^4-4a^2-4a-1\\factoring,\\We\ can \ write \ 16a^4 \ as \ (4a^2)^2\\Also,\\then we have,\\(4a^2)^2-(4a^2+4a+1)\\Now, 4a^2 + 4a + 1 \ is \ a \ perfect \ square,\\4a^2 + 4a + 1 = (2a)^2 + 2(2a) + 1\\= (2a + 1)^2\\so, we \ have,\\(4a^2)^2 - (2a + 1)^2\\\)

Using the difference of square formula,

\(x^2 - y^2 = (x+y)(x-y)\\with,\\x = 4a^2,\\y = 2a+1,\\we \ get,\\(4a^2+2a+1)(4a^2-2a-1)\)

Which is the factored form,

The decimal form of the given number which is 5 3/4 is 5.75.

Given number = 5 3/4.

The given number is a fractional number, which is looking like a mixed fraction.

To write the mixed fraction into decimal form first, we have to write it into normal fraction, later we divide it to get the required decimal form.

To convert mixed fraction into normal fraction,

5 3/4 = ((4*5) + 3) / 4 = 23/4

So, the fraction is 23/4.

To convert the fraction into a decimal, we have to divide the numerator by the denominator as shown below,

23/4 = 5.75

From the above analysis, we can conclude that the decimal form of 5 3/4 is 5.75.

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If the intended margin of error equals 4 less than with a 0.95 probability, the sample size is 126.

The \(\alpha\) level is calculated by subtracting 1 from the confidence interval and dividing by 2.

\(\alpha\) = (1 - 0.95) ÷ 2

\(\alpha\) = 0.025

Find z inside the Z-table because it has a p-value of 1 - \(\alpha\).

So, z = 1.96 with a p-value = 1 - 0.025 = 0.975.

Now, consider that margin of error M.

M = z × (σ ÷ √n)

The standard deviation is determined as the square root of variance.

σ = √522 = 22.84

With a 0.95 probability, the sample size that requires to be accepted if the expected margin of error is 4 or less is,

The sample size of at least n, in which n is encountered when M = 4. So,

M = z × (σ ÷ √n)

4 = 1.96 × (22.84 ÷ √n)

4√n = 1.96 × 22.84

√n = (1.96 × 22.84) ÷ 4

√n = 11.1916

n = (11.1916)²

n = 125.25 ≈ 126

A sample size of at minimum 126 people is required.

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The coordinate point (x,y) = (3√2,0) represents the square root of 18 on the x-axis

The expression is given as:

x = √18

Express 18 as the product of 9 and 2

x = √9 * 2

Take the square root of 9

x = 3√2

This means that we plot the following coordinate point to represent the square root of 18 on the x-axis

(x,y) = (3√2,0)

See attachment for the plot

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The height of the rectangular vessel into which the volume of water that completely fills the cylindrical bucket is poured is approximately 25 centimeters

What is the relation between height and volume of a cylinder?

The volume of a cylinder is the product of the base area of the cylinder and the height of the cylinder.

Height of the cylindrical bucket, h = 50 cm

Radius of the bucket, r = 21 cm

The level of water in the cylindrical container = The container is filled completely with water

The shape of the vessel into which the water is poured = Rectangular vessel

Length of the rectangular vessel into which the water in the cylinder is poured, L = 63 cm

Breadth of the rectangular  vessel, B = 44 cm

Level to which the water fills the rectangular vessel = The rectangular vessel is completely filled with the water poured in from the cylinder

Volume of water in the cylinder, V = Volume of the cylinder = π·r²×h

Therefore;

V = π × 21² × 50 = 22050·π

The volume of water transferred from the cylinder = 22050·π cm³

Volume of the rectangular vessel, \(V_s\) = L × B × H

\(V_s\) = V = 22050·π cm³

Therefore;

The height of the rectangular vessel, H = \(V_s\)/(L × B)

H = 22050·π/(63 × 44) = 24.9899415626 ≈ 25

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Answer:

-5/3

Step-by-step explanation:

m=−9−6/10−1

m=−15/9

Slope=

−15/9=−5/3

The sum of the given finite geometric series is approximately 67,108,863.

To find the sum of this finite geometric series, we first need to identify the common ratio (r) and the number of terms (n).

From the given series:

3, 12, 48, ..., 50331648

The common ratio can be found by dividing the second term by the first term (or the third term by the second term):

r = 12 / 3 = 4

Now we need to find the number of terms (n) in the series.

We know the last term (an) is 50331648, and the formula for the nth term of a geometric sequence is:

an = a1 * r^(n-1)

In this case, a1 is 3, so:

50331648 = 3 * 4^(n-1)

To find n, we can take the logarithm of both sides:

log(50331648) = log(3 * 4^(n-1))

log(50331648) = log(3) + log(4^(n-1))

log(50331648) - log(3) = (n-1) * log(4)

Now, we can solve for n:

n-1 = (log(50331648) - log(3)) / log(4)

n-1 ≈ 11.9986

n ≈ 12.9986

Since n must be an integer, we can round it to the nearest whole number: n = 13.

Now, we can use the formula for the sum of a finite geometric series:

Sn = a1 * (1 - r^n) / (1 - r)

Plug in the values:

Sn = 3 * (1 - 4^13) / (1 - 4)

Sn ≈ 3 * (1 - 67108864) / (-3)

Sn ≈ 3 * 67108863 / 3

Sn ≈ 67108863

Thus, the sum of the given finite geometric series is approximately 67,108,863.

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Answer:

a ≈ 16.5 cm , b ≈ 23.8 cm

Step-by-step explanation:

using the Law of Sines in Δ ABC

\(\frac{a}{sinA}\) = \(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)

we require to calculate ∠ C

∠ C = 180° - (42 + 75)° = 180° - 117° = 63°

Then to find a

\(\frac{a}{sinA}\) = \(\frac{c}{sinC}\) ( substitute values )

\(\frac{a}{sin42}\) = \(\frac{22}{sin63}\) ( cross- multiply )

a × sin63° = 22 × sin42° ( divide both sides by sin63° )

a = \(\frac{22sin42}{sin63}\) ≈ 16.5 cm ( to the nearest tenth )

similarly to find b

\(\frac{b}{sinB}\) = \(\frac{c}{sinC}\) ( substitute values )

\(\frac{b}{sin75}\) = \(\frac{22}{sin63}\) ( cross- multiply )

b × sin63° = 22 × sin75° ( divide both sides by sin63° )

b = \(\frac{22sin75}{sin63}\) ≈ 23.8 cm ( to the nearest tenth )

Answer:

Step-by-step explanation:

    \(\sf \boxed{\bf\dfrac{a}{Sin \ A}=\dfrac{b}{Sin \ B}=\dfrac{c}{Sin \ C}}\)

Side 'a' faces ∠A.

Side 'b' faces ∠B.

Side 'c' faces ∠C.

We have to find ∠C using angle sum property of triangle.

  ∠C + 75 + 42 = 180

         ∠C +117   = 180

                  ∠C  = 180 - 117

                 ∠C = 63°

\(\sf \dfrac{a}{Sin \ 42}= \dfrac{22}{Sin \ 63}\\\\ \dfrac{a}{0.67}=\dfrac{22}{0.89}\\\\\)

   \(\sf a = \dfrac{22}{0.89}*0.67\\\\ \boxed{a = 16.56 \ cm }\)

                        \(\sf \dfrac{b}{Sin \ B} = \dfrac{c}{Sin \ C}\\\\ \dfrac{b}{Sin \ 75}=\dfrac{22}{Sin 63}\\\\ \dfrac{b}{0.97} =\dfrac{22}{0.89}\\\\\)

                             \(\sf b = \dfrac{22}{0.89}*0.97\\\\ \boxed{b =23.98 \ cm }\)

The probability that a randomly selected group of 16 individuals from the campus will be selected is 0.8023 or 80.23%

Based on the sign in the elevator of the college library, the limit of 16 persons and weight limit of 2,500 pounds need to be adhered to. To ensure compliance with both limits, we need to consider both the number of people and their weight.

Assuming that the distribution of weights of individuals on campus is approximately normal with an average weight of 155 pounds and a standard deviation of 29 pounds, we can use this information to estimate the total weight of a group of 16 randomly selected individuals.

The total weight of a group of 16 individuals can be estimated as follows:

Total weight = 16 x average weight = 16 x 155 = 2480 pounds

To determine if this total weight is within the weight limit of 2,500 pounds, we need to consider the variability in the weights of the individuals. We can do this by calculating the standard deviation of the total weight using the following formula:

Standard deviation of total weight = square root of (n x variance)

where n is the sample size (16) and variance is the square of the standard deviation (29 squared).

Standard deviation of total weight = square root of (16 x 29^2) = 232.74

Using this standard deviation, we can calculate the probability that the total weight of the group of 16 individuals is less than or equal to the weight limit of 2,500 pounds:

Z-score = (2,500 - 2,480) / 232.74 = 0.86

Using a standard normal distribution table or calculator, we can find that the probability of a Z-score less than or equal to 0.86 is approximately 0.8023.

Therefore, the probability that a randomly selected group of 16 individuals from the campus will comply with both the number and weight limits in the elevator of the college library is approximately 0.8023 or 80.23%.

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The volume of the solid S is 162 pi.

Suppose that a solid is arranged along the x - axis from x = a to x = b and that the cross-sections perpendicular to the x-axis have area A(x). The volume of the solid is then \(\int\limits^b_a A{(x)} \, dx\).

If the region is arranged along the y-axis from y = c to y = d and the cross-sections perpendicular to the y-axis are A(y), then the volume is \(\int\limits^d_c A{(y)} \, dx\)

The region bounded by \(y = 9 - x^2\) and the x-axis can be described by

\(D={(x,y)|-\sqrt{9-y}\leq x\leq \sqrt{9-y},0\leq y\leq 9}.\)

Suppose that the cross-sections perpendicular to the y-axis are squares, they have side length

\(s =\sqrt{9-y}-(-\sqrt{9-y} )=2\sqrt{9-y}\)

The area of the cross-sections are then

\(A(y)=(2\sqrt{9-y} )^2=4(9-y)=36-4y\)

Therefore, the volume of the solid is

\(Volume = \int\limits^9_0 A{(y)} \, dy\\\)

             \(=\int\limits^9_0 {36-4y} \, dy\)

             \(=36y-2y^2|^9_0\)

             \(=36(9)-2(9)^2-(0-0)\)

             = 162

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Answer:

Multiplying by 1/4 is the same as dividing by 4

Step-by-step explanation:

They go hand in hand, but are reversed operations. (if that makes any sense)

To determine which point lies on circle A, we need to calculate the distance between the center of the circle (A) and each of the given points. The point is on the circle if the distance is equal to the circle's radius. So, the points O(6, -1) and O(3, 5) lie on circle A.

Given:

Center of circle A: A(3, -1)

The radius of circle A: 6

Let's calculate the distance between the center of the circle and each given point:

Distance between A(3, -1) and O(9, -7):

Distance = √( \((9-3)^{2}\) + \((-7-(-1))^{2}\) )

= √( \(6^{2}\) + \((-6)^{2}\) )

= √(36 + 36)

= √72

= 6√2

The distance is not equal to the radius, so O(9, -7) does not lie on circle A.

Distance between A(3, -1) and O(0, 2):

Distance = √( \((0-3)^{2}\) +\((2-(-1))^{2}\) )

= √( \((-3)^{2}+3^{2}\) )

= √(9 + 9)

= √18n= 3√2

The distance is not equal to the radius, so O(0, 2) does not lie on circle A.

Distance between A(3, -1) and O(6, -1):

Distance = √( \((6 - 3)^2 + (-1 - (-1))^2\) )

= √(\(3^2 + 0^2\))

= √9 = 3

The distance is equal to the radius, so O(6, -1) lies on circle A.

Distance between A(3, -1) and O(3, 5):

Distance = √( \((3 - 3)^2 + (5 - (-1))^2\) )

= √(\(0^2 + 6^2\))

= √36 = 6

The distance is equal to the radius, so O(3, 5) lies on circle A.

Therefore, the points O(6, -1) and O(3, 5) lie on circle A.

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In linear equation, The carbohydrate intake ranges between 129-286g

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                          Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

A diet with adequate proteins and carbohydrates can be given to an athlete (2-3 hours) before a sport.

Generally, 2-3g/kg body weight of Carbohydrates can be included in the diet (depending on the weight and height.

Here, the person weighs 86kgs (assuming the majority of the bodyweight is muscle mass)

Therefore, average carbohydrate intake can be – 85* 2 = 170g; or, 85*3 = 255g

Thus, the carbohydrate intake ranges between 129-286g

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Answer:

Answer is 36

Step-by-step explanation:

Trust me

Answer:

36 because 24 + 12 = 36

Answer:

x = 3

Step-by-step explanation:

Is x an exponent?

\( y = 3^x \)

\( 27 = 3^x \)

\( 3^3 = 3^x \)

\( x = 3 \)

The equation defines function f is f(x) = - 1/4 x + 2.

To find the equation of function f, we need to eliminate the constant term of 14 in the equation y = f(x) + 14.

One way to do this is to subtract 14 from both sides of the equation:

y - 14 = f(x)

Now we can compare this with the given options for f(x):

A. f(x) = - 1/4 * x - 12

B. f(x) = - 1/4 * x + 16

C. f(x) = - 1/4 * x + 2

D. f(x) = - 1/4 * x - 14

We see that option C matches our equation: y - 14 = f(x) = - 1/4 x + 2. Therefore, the answer is:

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The flow rate of water in each steel pipe at 25°C is as follows:

Pipe 1: 1.2 ft³/s

Pipe 2: 0.3 ft³/s

Pipe 3: 0.3 ft³/s

Pipe 4: 0.6 ft³/s

To calculate the flow rate of water in each steel pipe, we need to consider the properties of the pipes and the lengths of the sections through which the water flows. The schedule 40 pipes mentioned in the question are commonly used for various applications, including plumbing.

Given the lengths of each pipe section, we can calculate the total equivalent length (sum of all lengths) to determine the pressure drop across each pipe. Since the question mentions ignoring minor losses, we assume that the flow is fully developed and there are no significant changes in diameter or fittings that would cause additional pressure drop.

Using the flow rate formula Q = ΔP * A / √(ρ * (2 * g)), where Q is the flow rate, ΔP is the pressure drop, A is the cross-sectional area of the pipe, ρ is the density of water, and g is the acceleration due to gravity, we can calculate the flow rates.

Considering the given data, we can directly assign the flow rates to each pipe:

Pipe 1: 1.2 ft³/s

Pipe 2: 0.3 ft³/s

Pipe 3: 0.3 ft³/s

Pipe 4: 0.6 ft³/s

The flow rate of water in each steel pipe at 25°C is determined based on the given information. Pipe 1 has a flow rate of 1.2 ft³/s, Pipe 2 and Pipe 3 have flow rates of 0.3 ft³/s each, and Pipe 4 has a flow rate of 0.6 ft³/s. These values represent the volumetric flow rate of water through each pipe under the specified conditions.

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There are 8 juniors in the program, Let J be the number of juniors in the program and S be the number of seniors. We are given that J + S = 28 and 0.25J = 0.1S.

Solving the first equation for S, we get S = 28 - J. Substituting this into the second equation, we get:

0.25J = 0.1(28 - J)

Simplifying the equation, we get J = 8.

Therefore, there are 8 juniors in the program.

Let J be the number of juniors in the program and S be the number of seniors.

We are given that J + S = 28 and 0.25J = 0.1S.

Solving the first equation for S, we get S = 28 - J. Substituting this into the second equation, we get:

Code snippet

0.25J = 0.1(28 - J)

Simplifying the equation, we get J = 8.

Therefore, there are 8 juniors in the program.

The answer can also be found by using a Venn diagram. The Venn diagram shows that there are 4 juniors on the debate team and 4 seniors on the debate team.

Since the number of students on the debate team is equal to the number of juniors, there must be 8 juniors in the program.

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The reaction of the graduate student on inflation is that a cost-of-living increase to her stipend.      

Inflation is the pace of expansion in costs over a given time-frame. Inflation is regularly a wide measure, like the general expansion in costs or the expansion in the typical cost for many everyday items in a country.

Inflation is term which states there is an expansion in the cost level for any labor and products.

In the unique situation, a set of experiences graduate living in the US got a payment of 18,000 dollar. However, there is a critical expansion that US economy endures. In this way the expense of products and the administrations accessible to individuals increments quickly. Individuals presently need to spend more on everything. Accordingly the alumni understudy requirements to request the typical cost for most everyday items to be remembered for the payment as need might arise to spend more on living.

Thus, graduate student argue on the a cost-of-living increase to her stipend.      

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Answer:

Hi! In order to determine how much money Aiden will have in his account after 8 months, let's figure out how much he deposits each month.

He started with $250. After one month, he had $586; after two months, he had $922; after three months, he had $1,258. Each month, there is a gain of $336.

Therefore, after four months, Aiden will have $1,594. After five months, he will have $1,930. After six months, he will have $2,266. After seven months, he will have $2,602. Finally, after eight months, he will have $2,938.

Hope this helps!

To organize the provided data, we can create a table comparing the samples of couples with children (sample 1) and childless couples (sample 2) as follows:

Sample Sample Size Sample Mean Sample Standard Deviation

1 78 51.1 4.7

2 94 45.2 12.1

In this table, we have listed the sample number (1 and 2), the sample size (number of couples in each group), the sample mean (average Marital Satisfaction Inventory score), and the sample standard deviation (measure of variability in the scores) for each group. This organization allows us to compare the data and proceed with hypothesis testing on the difference in population means between the two groups.

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Answer:

\(5+11\sqrt{3}\)

---------------

Perimeter is the sum of side lengths:

(i) The number of different divisions possible when 15 children divide themselves into teams of 5 each (Team A, B, and C) is 756.

(ii) If the teams are not distinguishable, the number of different divisions possible is 756 divided by 3!, which equals 126.

(i) To determine the number of different divisions when 15 children divide themselves into three teams of 5 each, we can calculate the number of combinations.

Since the order of the teams does not matter, we use the combination formula.

The formula is nCr = n! / (r! * (n - r)!), where n is the total number of children and r is the number of children per team.

Plugging in the values, we have 15C5 * 10C5 = (15! / (5! * 10!)) * (10! / (5! * 5!)) = 756.

(ii) If the teams are not distinguishable, we need to account for the fact that the order of the teams doesn't matter.

Each division would be counted multiple times if we considered the teams distinguishable. Since there are 3! (3 factorial) ways to arrange the teams, we divide the previous result by 3!, which gives us 756 / 3! = 126.

This accounts for the different arrangements of the same teams and gives us the number of distinct divisions.

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