A group of friends Anna (A), Bjorn (B), Candice (C), David (D) and Ellen (E) want to enter a basketball contest that caters for teams of different sizes. A team with n players is called an n-team. A player can be in several different teams, including teams of the same size. There is a restriction however: players in a 2-team cannot play together in any larger team. For example, if friends A,B,C,D form the teams AB, BCD, ACD, then they cannot also form the teams BD or ABC, among others.


a) List all different 3-teams that the friends could enter.


b) What is the maximum number of teams that the friends can enter if they want to include exactly two 3-teams and at least one 2-team, but no other size teams.


c) What is the maximum number of teams that the friends can enter if they want to include exactly three 3-teams and at least one 2-team, but not other size teams.


d) The five friends want to enter 8 teams including at least one 2-team and at least one 3-team and no team of any other size. Find three ways of doing this with a different number of 3-teams in each case

The expression which could be used to determine the area of the triangle is: One-half (2) (three-fourths) (StartFraction 7 Over 8 EndFraction).

Expression in math is a combination of numbers, operations, variables, and/or other mathematical symbols that represent a quantity or an action. It is a statement that can be evaluated to a single value, or a set of values. Expressions in math can be used to solve equations, calculate values, and form models of real-world scenarios.

This expression multiplies together the base, two and three-fourths, and the height, StartFraction 7 Over 8 EndFraction, and then divides the result by two to give the area of the triangle.

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The perimeter of square ABCD is 28 units.

The perimeter of a square is the sum of all its sides. In this case, we need to find the perimeter of square ABCD.

The question provides two possible answers: 28 units and 37 units. However, we can only choose one correct answer. To determine the correct answer, let's think step by step.

A square has all four sides equal in length. Therefore, if we know the length of one side, we can find the perimeter.

If the perimeter of the square is 28 units, that would mean each side is 28/4 = 7 units long. However, if the perimeter is 37 units, that would mean each side is 37/4 = 9.25 units long.

Since a side length of 9.25 units is not a whole number, it is unlikely to be the correct answer. Hence, the perimeter of square ABCD is most likely 28 units.

In conclusion, the perimeter of square ABCD is 28 units.

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Answer:

1 - 7

3 - 11

5 - 15

Step-by-step explanation:

pls brainliest

Answer:

como proporción de dos tipos de tela es diferente.

por lo tanto, la relación entre el número de yardas cuadradas y el costo

no es proporcional entre los dos tipos de tejido

Explicación paso a paso:

Para que una relacion sea proporcional

a:b = c:d

en otra forma

a/b = c/d

______________________________________________

Proporción para el primer tipo de tejido

costo de tela/ área de tela = 31.25/5 = 6.25

Ratio para otro tipo de tejido

costo de tela/ área de tela = 71.50/11 = 6.5

como proporción de dos tipos de tela es diferente.

por lo tanto, la relación entre el número de yardas cuadradas y el costo

no es proporcional entre los dos tipos de tejido

Step-by-step explanation:

Answer:

570 meters

Step-by-step explanation:

\(\frac{8}{152} :\frac{30}{y}\)

y × 8 = 152 × 30

8y = 4560

8y ÷ 8 = 4560 ÷ 8

y = 570

Answer:

3 million or 3 x 10^6

Step-by-step explanation:

You would round this up to three million because the digit before it is 5 or larger. Then, using the three million number, you move the decimal over 6 places to get a digit less than ten so it would become 3 times 10 to the power of 6

Answer:

2 vertically and -11 horizontally

Explanation:

the graph shifts 2 vertically and -11 horizontally

note: vertically is up ↑ and bottom ↓ , horizontal is right → and left ←

2 vertical and -11 horizontal.

Take one point of 1 (I chose the bottom left corner) and move up (vertical) two times, and left eleven times (horizontal).

The equation would be (x-11, y+2)

Small, random genetic changes that occur over generations is known as genetic drift.

Genetic drift is an evolutionary process in which the frequency of a given gene allele varies randomly across a population. The impacts of genetic drift can be severe, often causing traits to become excessively common or to vanish from a community, even though it predominantly affects small, isolated populations.

Some people might merely by coincidence leave behind a few more offspring (and genes, of course!) than others in each generation. The next generation's DNA and other genetic components will come from the "fortunate" people, not necessarily the healthier or "better" people.

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Answer:

5.5 + 4 +3

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

The constant rate of proportionality, k, is expressed as \(k = \frac{y}{x}\), and shows that two quantities are proportional to each other. In this logic, rearranging this in terms of y gives us:

\(y = kx\)

Thus we can determine that k is 3.5, in this case.

Answer:

a) distance = 0.5m

b) acceleration = -1.25m/s²

Step-by-step explanation:

v = d/t

d = vt

d = 10/20

= 0.5

a = v/t

= -10/8

= -1.25

a is negative because in the last 8s the care decelerate

5 and shout out to the one above me :)

Step-by-step explanation:

|-2|+|3|

Distance means basically adding the 2 numbers with absolute value. Absolute value is making both numbers positive.

|-2|+|3| = 5

To check this, you add -2+5 and that is equivalent to 3.

Another way:

Another way is to to count the number of times you can skip on the number line just like I show in the image below.

Answer: Hope this help you!

5

Step-by-step explanation:

|-2|+|3|

Distance means basically adding the 2 numbers with absolute value. Absolute value is making both numbers positive.

|-2|+|3| = 5

To check this, you add -2+5 and that is equivalent to 3.

Another way:

Another way is to to count the number of times you can skip on the number line just like I show in the image below.

Brainliest?

Answer: No slope.

Step-by-step explanation:

No slope, the x values are the same yet they have different Y values so there isn't a slope and this isn't a function.

Answer: 9

Step-by-step explanation: All you have to do to find the sum is simply add 6 and 3

Answer:

$38.47

Step-by-step explanation:

You have to subtract $85.99 and $47.52.  The answer is $38.47..

I hope this helps!!

The inverse of the function f(x) = 2x+1 is (x-1)/2.

The output of a function is returned by the inverse function, which also returns the initial value. Consider the inverse relationship between the functions f and g: f(g(x)) = g(f(x)) = x. The initial value is fetched via a function that is its inverse.

Given;

Function, f(x) = 2x + 1.

To find the inverse of the function:

First, let y = f(x)

That is,

y = 2x +1

Then, make x the subject of the equation

y = 2x + 1

To make x the subject of this equation:

First, subtract 1 from both sides

We get

y -1 = 2x

Now, divide both sides by 2.

x = (y-1)/2

Now, rewrite as f⁻¹(x) by replacing y by x.

That is,

f⁻¹(x)  =  (x-1)/2

Therefore, the inverse of the function f(x) is (x-1)/2.

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Population growth rate of the bacterial culture can be expressed as a function of time as N = \(e^{kt + C}\)

Step-by-step explanation:

If we assume the number of bacteria at any time (t) is (N). Then, the population of bacterial culture at that time is given by

N = N (t)

It is also given that the rate at which the bacterial culture will grow is proportional to its size. So, the growth rate is given by

dN/dt ∝ N

Removing the sign of proportionality, we get a constant

dN/dt = KN

We get

∫1/N dt = ∫K dt

After integration

ln N = Kt + C

N = \(e^{kt + C}\)

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The question is incomplete. Therefore, the complete question is

A bacteria culture starts with 520 bacteria and grows at a rate proportional to its size. After 6 hours there will be 3120 bacteria. ?

1) Express the population after t hours as a function of t. population:

Answer:

P V = N R T      ideal gas equation

V2 / V1 = T2 / T1       dividing equations

V2 = 397 cm^3 * (220 / 515) = 170 cm^3

Answer:

\(h=\frac{f}{4} -2g\)

Step-by-step explanation:

\(\mathrm{Isolate\: the \:variable \:by\: dividing \:each\: side \:by \:factors \:that \:don't contain \:the \:variable.}\)

\(f=8g + 4h\)

\(h=\frac{f}{4} -2g\)

The probability that the proportion of racially or ethnically mixed couples in a sample of 300 married couples is greater than 0.07 is approximately 0.2190.

In statistics, a sample is a subset of a larger population that we use to make inferences about the whole population. When we take a sample, we are often interested in estimating some parameter of the population, such as the proportion of individuals with a certain characteristic. The sample proportion is the number of individuals in the sample with the characteristic of interest divided by the sample size.

In the given question, we are interested in the proportion of racially or ethnically mixed married couples in a sample of 300 married couples. We know from the article that in the population of all married couples in the United States, 5% are mixed racially or ethnically.

To answer the question, we need to use the Central Limit Theorem (CLT). The CLT states that, under certain conditions, the distribution of the sample mean approaches a normal distribution as the sample size increases. One of these conditions is that the sample size is large enough, usually considered to be n ≥ 30.

Using the CLT, we can assume that the sample proportion of racially or ethnically mixed couples, denoted by p', follows a normal distribution with mean p = 0.05 and standard deviation σ = √(p(1-p)/n). Substituting the given values, we get:

σ = √(0.05(1-0.05)/300)

  = 0.0258

To find the probability that the proportion of mixed couples in the sample is greater than 0.07, we need to standardize the variable:

z = (0.07 - 0.05) / 0.0258

  = 0.7752

We can now look up the probability corresponding to a z-score of 0.7752 in a standard normal distribution table, we find that this probability is approximately 0.2190.

Therefore, the probability that the proportion of racially or ethnically mixed couples in a sample of 300 married couples is greater than 0.07 is approximately 0.2190.

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Let's use the variable x to represent the price of a regular ticket and the variable y to represent the price of a VIP ticket.

If 21 regular tickets and 38 VIP tickets cost $5228, we can write the following equation:

If 44 regular tickets and 58 VIP tickets cost $8792, we can write the following equation:

Now, to solve this system of equations, let's solve the first equation for x and then use its value in the second equation:

Therefore the price of a regular ticket is $68 and the price of a VIP ticket is $100.

The critical values for a 2-tailed sign test for 13-coin flips (alpha of. 05) is: ± 1.96

For given question,

We need to find the critical values for a 2-tailed sign test for 13-coin flips.

We have been given an alpha level of 0.05 that is 5%

⇒ α = 0.05

We know that in hypothesis testing, a critical value is a point on the test distribution that is compared to the test statistic to determine whether to reject the null hypothesis.

These are the points on the distribution which have the same probability as your test statistic, equal to the significance level α.

The critical values are assumed to be at least as extreme at those critical values.

Now we find 1 - α

⇒ 1 - α = 1 - 0.05

⇒ 1 - α = 0.95

Because it is a two-tailed test, we are going to divide 0.95 by 2.

⇒ 0.95/2 = 0.475

Now we look in the z-table to find out cutoff points.

For the area of 0.475, the critical values is ± 1.96 .

Therefore, the critical values for a 2-tailed sign test for 13-coin flips (alpha of. 05) is: ± 1.96

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The following can be shown about the diagonals of parallelogram PQRS to compare the proof that diagonals of a parallelogram bisect each other: B. PR and SQ have the same midpoint.

In Mathematics and Geometry, a parallelogram is a geometrical figure (shape) and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that has two (2) equal and parallel opposite sides.

In order for any quadrilateral to be considered as a parallelogram, two pairs of its parallel opposite sides must be equal (congruent). This ultimately implies that, the diagonals of a parallelogram would bisect one another only when their midpoints are the same:

(Line segment PR)/2 = (Line segment SQ)/2

Line segment PR = Line segment SQ

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Comparing a census of a large population to a sample drawn from it, we expect that the sample is usually a more practical method of obtaining the desired information.

This is because a census involves collecting data from every individual in the population, which can be time-consuming, expensive, and logistically challenging, especially for large populations. In contrast, a sample is a smaller, more manageable subset of the population, making it easier to gather and analyze data.

However, it's essential to note that the accuracy of the observations in the census is generally higher than in the sample, as the census covers the entire population, eliminating any sampling error. In comparison, a sample may be subject to various biases or inaccuracies, depending on the sampling technique used and the sample size.

To ensure that the sample accurately represents the population, it is crucial to select a sample that is both random and of an appropriate size. While the sample doesn't need to be a large fraction of the population, it should be sufficiently large to provide reliable estimates and minimize sampling error. Overall, sampling is a practical and efficient approach to obtaining information about a population when properly conducted, balancing the need for accuracy with resource constraints.

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Answer: um 5 4/9

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

Hello :D

So, Ethan has raised 60% of 100%. You have to do:

100% - 60% = 40%

Ethan needs to raise 40%.

Answer:

the range describes the distance from the minimum to the maximum value of the entire data set.