A cookie recipe calls for two eggs and promises that it yields 18 cookies. If you need to make 90 cookies , how many eggs do you need?

The correct answer will be c. computing the average distance between every pair of observations between two clusters

What is Cluster Analysis?

Grouping "things" into "similar" groups is one of the most fundamental, straightforward, and frequently overlooked techniques (or processes) of comprehending and learning, on which cluster analysis is based. To create clusters of a particular type, this process uses a variety of different algorithms and techniques. It is also a component of data management in statistical analysis.

A multivariate data mining technique called cluster analysis aims to group things (such goods, responders, or other entities) based on a set of user-selected features or characteristics. Data compression, machine learning, pattern recognition, information retrieval, and other areas all use this essential and crucial phase of data mining, which is also a widely used method for statistical data analysis.

Here as per the given question, there are two clusters given.

Hence, computing the average distance between every pair of observations between two clusters.

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47 adult tickets and 208 children tickets were sold

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

Let x= number of adults

Let y= number of children

Equations:

x+y= 255-----(1)

4x+1.5y=500-----(2)

(1)=> y= 255-x

(2) =>   4x+1.5(255-x)=500

         4x + 382.5-1.5x=500

                         2.5x = 500-382.5 =117.5

                               x= 117.5/2.5 = 47

y= 255-47 = 208

47 adult tickets and 208 children tickets were sold

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The value of the given expression  15.75 / (p +3p) for p = 3.15 will be 1.25.

An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that are all constrained and create an equation.

In other meaning, expression is very useful to determine the end or root value of constraint.

As per the given expression,

15.75 / (p +3p)

Put p = 3.15

15.75/(3.15 + 3 x 3.15) = 1.25

Hence "For p = 3.15, the value of the provided expression 15.75 / (p + 3p) will be 1.25".

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Answer: 1. €37 and €17

2. €34

Step-by-step explanation:

Given Data:

Cost of 1/4kg of chorizo = €9.25

Cost of 1/2kg of cheese = €8.50

Therefore:

1. Cost of 1kg of each product.

If 1/4 kg or chorizo cost €9.25,

1kg = 1/4 which is known as one fourth or one quarter. There are 4 one fourth in 1

1kg = 1/4 + 1/4 + 1/4 + 1/4

Or

1kg = 4 * €9.25

1kg = €37

Cost of 1kg of chorizo is €37

Cost of 1kg of cheese

If 1/2kg = €8.50

Then; 1kg = 1/2 + 1/2

1kg = €8.50 + €8.50

1kg = €17

Cost of 1kg of cheese = €17

2. Cost of 2kg of cheese.

If 1kg of cheese cost €17

2kg = 2 * €17

2kg = €34

Cost of 2kg of cheese is €34

To calculate the mark-up percentage, we need to find the difference between the selling price and the buying price, and then express that difference as a percentage of the buying price.

Buying price: $3,200

Selling price: $8,950

Mark-up = Selling price - Buying price = $8,950 - $3,200 = $5,750

Now, we'll calculate the mark-up percentage:

Mark-up percentage = (Mark-up / Buying price) * 100

Mark-up percentage = ($5,750 / $3,200) * 100 = 179.6875

Rounding to the nearest tenth of a percent, the mark-up percentage is approximately 179.7%.

Therefore, the mark-up percentage for the used car is 179.7%.

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The description of the transformation of z on the complex plane that gives the product of and is to scale by a factor of 4, then rotate counterclockwise by /6 radians.

To understand this transformation, let's break it down into its components. Scaling by a factor of 4 means multiplying by 4. This scales the magnitude of by a factor of 4 but does not change its direction. Next, rotating counterclockwise by /6 radians means rotating around the origin by an angle of /6 in the counterclockwise direction. By performing these two transformations in succession, we first scale by a factor of 4, which stretches or compresses it depending on whether it is inside or outside the unit circle, respectively. Then, we rotate counterclockwise by /6 radians, which changes its angle in the counterclockwise direction by /6 radians.

The resulting transformation gives the product of and because scaling and rotation are commutative operations when applied to complex numbers. The order in which the transformations are performed does not affect the result. Therefore, scaling by a factor of 4, then rotating it counterclockwise by /6 radians, will yield the same result as scaling by a factor of 4, then rotating it counterclockwise by /6 radians.

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Answer:

The answer is down below:

Step-by-step explanation:

Notebook: 22-x

Pens: (22 - x - 2) x 3.

Pencils: 22 - x - 2.

We use x for notebooks because it is the only item that doesn't have an "equation" for us to solve so we use "x" instead. hope this helped you out.

Notebook: 22-x

Pens: (22 - x - 2) x 3.

Pencils: 22 - x - 2.

We use x for notebooks because it is the only item that doesn't have an "equation" for us to solve so we use "x" instead. hope this helped you out .Notebook: 22-x

Answer:

3 miles per hour.

Step-by-step explanation:

To get his walking rate in miles per hour, we multiply 1/5 by its reciprocal, 5/1. We also multiply 6/10 by 5/1. This gets us 30/10 of a mile in an hour. We can simplify 30/10 to 3. This means he walks at 3 miles per hour.

Option 2 is correct that is 1.79

When presented in ascending order, the value that 75% of data points fall within is known as the higher quartile, or third quartile (Q3).

The quartiles formula is as follows:

Upper Quartile (Q3) = 3/4(N+1)

Lower Quartile (Q1) = (N+1) * 1/3

Middle Quartile (Q2) = (N+1) * 2/3

Interquartile Range = Q3 -Q1,

1.74, 0.24, 1.56, 2.79, 0.89, 1.16, 0.20, and 1.84 are available.

Sort the data as follows: 0.20, 0.24, 0.89, 1.16, 1.56, 1.74, 1.84, 2.79 in ascending order of magnitude.

The data set has 8 values.

hence, n = 8; third quartile: 3/4 (n+1)th term

Q3 =3/4 of a term (9) term

Q3 =27/4 th term

Q3 = 1.74 + 1.84 / 2 (average of the sixth and seventh terms)

equals 1.76

Thus Q3 is 1.76 that is option 2

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Answer:

The product would be -27x.

Step-by-step explanation:

First you use the distributive property to distribute the -9x to the 5 and the -2x. Then you would get -45x+18x. 18x because when you multiply a negative and a negative you get a positive. Then, you add those two and you should get -27x.

The x.length is the number of rows, which is 4. x[2].length is the number of columns in the 3rd row, which is 5. The expression "new double[4][5]" creates a 2D array of doubles with 4 rows and 5 columns. The correct answer is (b) 4 and 5.

The expression double[][] x = new double[4][5] creates a 2D array x with 4 rows and 5 columns. Therefore, x.length gives the number of rows, which is 4. And x[2].length gives the number of columns in the 3rd row (since array indices start at 0), which is 5. Therefore, the correct option is (b) 4 and 5.

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Answer:

\(y = -\frac{1}{3}x\)

Step-by-step explanation:

The scatter plot trends downward from left-> right, meaning that it is negative. Next, use two points to solve for the value for the slope.

In this case, I will use (-3 , 1) & (0 , 0)

Use the following equation. m = slope:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Let:

\((x_1 , y_1) = (0 , 0)\\(x_2 , y_2) = (-3 , 1)\)

Plug in the corresponding numbers to the corresponding variables:

\(m = \frac{1 - 0}{-3 - 0} = \frac{1}{-3} = -\frac{1}{3}\)

Your answer will be:

\(y = -\frac{1}{3}x\)

The first blue peak around day 17 represents the highest concentration of antibodies that occurs after the first exposure to antigen X.

Antibodies are proteins that are produced by the immune system in response to the presence of an antigen, which is a foreign substance that the body recognizes as a threat. When the body is exposed to antigen X for the first time, it takes some time for the immune system to recognize and respond to it.

As the immune system begins to produce antibodies against antigen X, their concentration in the bloodstream gradually increases until it reaches a peak, which is the point at which the body has produced the maximum amount of antibodies against that antigen. This first blue peak indicates that the body has successfully mounted an immune response to antigen X, and is now better equipped to recognize and neutralize it if it encounters it again in the future.

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The required measure of the x in the given triangle is 65.6 degrees.

To evaluate x, we can apply the tangent function, which relates the ratio of the length of the opposite side to the adjacent side in a right triangle.

The tangent of an angle x is defined as the ratio of the length of the opposite side to the length of the adjacent side:

tan(x) = opposite/adjacent

In our case, the opposite side has a length of 11 cm, and the adjacent side has a length of 5 cm. Therefore, we can write:

tan(x) = 11/5

To solve for x, we can take the inverse tangent (also known as arctan or tan⁻¹) of both sides:

x = tan⁻¹(11/5)

Using a calculator, we can find the value of x to be approximately 65.6 degrees.

Therefore, the angle x between the longest side and the smallest side of the right-angle triangle is approximately 65.6 degrees.

Therefore, the required measure of the x in the given triangle is 65.6 degrees.

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Answer:

B = 3V/h

Step-by-step explanation:

The formula V = Bh/3 shows how to find the volume of a pyramid where V is volume, B is Base Area and h is height. Solve for B.

V = Bh/3

multiply both sides by 3:

3(V) = 3(Bh/3)

3V = Bh

divide both sides by h:

3V/h = Bh/h

B = 3V/h

The position of the mass in the undamped spring-mass system can be represented by the equation u(t) = (A cos(ωt) + B sin(ωt)) / k. Therefore, position of the mass at any time t in feet is given by u(t) = 4.5 cos(4t).

In this case, the external force acting on the system is 108 cos(4t) lb. To determine the position of the mass, we need to solve the differential equation that represents the motion of the system.

Using Newton's second law, F = ma, and considering that the mass m = 24 lb, the equation becomes:

24 * d^2u/dt^2 = 108 cos(4t)

Simplifying, we have:

d^2u/dt^2 = 4.5 cos(4t)

This is a second-order linear homogeneous differential equation with a constant coefficient. The solution to this equation will be a linear combination of the homogeneous and particular solutions.

The homogeneous solution, representing the free oscillation of the system, is u_h(t) = C1 cos(2t) + C2 sin(2t).

The particular solution, representing the forced motion caused by the external force, can be assumed in the form u_p(t) = A cos(4t) + B sin(4t).

By substituting u_p(t) into the differential equation, we can determine the values of A and B.

Solving the differential equation for the particular solution, we find:

A = 18 and B = 0

The complete solution for the position of the mass in feet is:

u(t) = (18 cos(4t)) / 4

Simplifying further, we get:

u(t) = 4.5 cos(4t)

Therefore, the position of the mass at any time t in feet is given by u(t) = 4.5 cos(4t).

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The student that has   the highest probability to find that the actual number of times his or her coin lands heads up most closely matches the predicted numberof heads-up landings is Collin.

Let's calculate the expected number of heads-up landings for each student  -

Ana = 0.5 * 50 = 25

Brady  = 0.5 * 10 = 5

Collin = 0.5 * 80 = 40

Deshawn  = 0.5 * 20 = 10

From the above we can   see that Collin (80 flips) is most likely to find that the actual number of times his coin lands heads up most closely matchesthe predicted   number of heads-up landings (40).

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Four students are determining the probability of flipping a coin and it landing head's up. Each flips a coin the number of times shown in the table below.

Student

Number of Flips

Ana

50

Brady

10

Collin

80

Deshawn

20

Which student is most likely to find that the actual number of times his or her coin lands heads up most closely matches the predicted number of heads-up landings?

The value of m ∠ H-F-K, given the value of the corresponding and supplementary angles, is 84 degrees

The angles given of 6 ( x + 2 ) degrees and 8 ( x - 2 ) degrees are complementary and add up to 180 degrees.

The value of these angles is:

6 ( x + 2 ) = 8 ( x - 2 )

6x + 12 = 8x - 16

8x  - 6x = 16 + 12

x = 28 / 2

x = 14

The angle is:

= 8 ( 14 - 2 )

= 8 x 12

= 96 degrees

The value of m ∠ H-F-K will be supplementary to m ∠ H-F-K so the value of m ∠ H-F-K is:

=  (360 - 96 - 96 ) / 2

= 84 degrees

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The function f(x) = \(5(3)^x+3\) is continuous everywhere on its domain, which is (-∞, ∞).

The function f(x) =  \(5(3)^x+3\)   is continuous everywhere because it is an exponential function with a base of 3, which is a positive number. Exponential functions with positive bases are continuous over their entire domain.

To see why, consider the definition of continuity: a function f(x) is continuous at a point x = c if the limit of f(x) as x approaches c exists and is equal to f(c). For an exponential function with a positive base, as x approaches c, the function values either increase to infinity or decrease to 0, depending on whether the exponent is positive or negative, respectively. In either case, the limit exists and is equal to the function value at c, so the function is continuous at c. Since this holds for all points in the domain, the function is continuous everywhere it is defined.

The domain of f(x) is all real numbers, so the function is continuous on the interval (-infinity, infinity), or in interval notation, the domain is (-∞, ∞).

In summary, the function f(x) = 5(3)ˣ +3 is continuous everywhere on its domain, which is (-∞, ∞).

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so the probability will be: p(red)=2652=0.5 or 50% as we could guess immediatelly.

The sample mean of the weight of the loaves in the bakery is 797.3 grams.

Given data:Number of loaves of bread = 10Weights of loaves in grams = {790, 680, 900, 855, 745, 740, 874, 903, 876, 800}

Mean or average weight of the loaves in the bakery can be calculated using the formula;

Mean = (Sum of weights of all loaves) / Number of loavesTherefore,Mean = (790 + 680 + 900 + 855 + 745 + 740 + 874 + 903 + 876 + 800) / 10 = 797.3

So, the sample mean of the weight of the loaves in the bakery is 797.3 grams.

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Solving the system of equations, it is found that the before-tax price of a chicken dinner is of $15.5.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

The system is given by:

27c+ 17s = 809.50

46c + 34s = 1,495.00

Multiplying the second equation by -0.5 and adding with the first we can remove s, hence:

27c+ 17s = 809.50

-23c - 17s = -747.50.

4c = 62.

c = 62/4.

c = 15.5.

The before-tax price of a chicken dinner is of $15.5.

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Answer:

Shianne is correct as per rules of exponents (Division of exponents with same base is subtraction of powers)

Answer:

can someone help me i dont know thw answer

Step-by-step explanation:

thanks if you help

A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.

The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:

t = (0.693 / k)

where t is the half-life and k is the decay constant.

In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.

t = (0.693 / 0.1472) ≈ 4.7 days

Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.

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