could the probability requested in (b) be calculated from the given information if the sample size were 15 rather than 85? explain.

Cluster analysis is a valuable tool in data analysis that helps identify hidden patterns and group similar objects or data points.

It is useful in various fields, such as market research, image analysis, customer segmentation, and anomaly detection. By clustering data, we can gain insights, make predictions, and improve decision-making. Hierarchical clustering is a specific approach to cluster analysis. It organizes data points into a hierarchy of clusters, where each cluster can contain subclusters. This method allows for a hierarchical structure that captures different levels of similarity or dissimilarity between data points.

For example, in customer segmentation, hierarchical clustering can group customers based on similar attributes like demographics, purchase history, and behavior. In image analysis, it can be used to segment images into meaningful regions or objects based on their visual characteristics. Hierarchical clustering offers a flexible and interpretable way to analyze complex datasets and discover underlying structures.

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On solving the provided question we can say that the value of trigonometry value is - \((sin^2x - cos^2x )( 1- sin^2xcos^x)\\\)

The area of mathematics known as trigonometry examines the correlation between triangle side lengths and angles. The area first appeared in the Hellenistic era, around the third century BC. from the use of geometry in astronomical study. The area of mathematics known as exact methods deals with specific trigonometric functions and how they might be used in calculations. There are six popular trigonometric functions in trigonometry. Sine, cosine, tangent, cotangent, secant, and cosecant are their respective names and acronyms (csc). Studying the characteristics of triangles, particularly right triangles, is called trigonometry. The study of geometry, however, is the characteristics of all geometric figures.

\(sin^6 x - cos^6x\\(sin^3x)^2 - (cos^3x)^2\\(sin x - cosx)(sinx + cosx)(1 + sinx cosx)(1 - sinx cosx)\\(sin^2x - cos^2x )( 1- sin^2xcos^x)\\\)

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Answer:

Do 2750/3162.50 then that's your answer

Step-by-step explanation:

Answer:

0.3 x 0.9=0.27

Step-by-step explanation:

Hope this answer helps you:)

Answer:

9 x 3 = 27
0.9 x 0.7 = 0.27

Step-by-step explanation:

Just add a decimal point infront of 27 or the other numbers.

Answer:your answer is 9 - 54/50

Step-by-step explanation:

Answer:

numerator is a binomial

Step-by-step explanation:

Answer:

2 books

Step-by-step explanation:

3 1/2 ÷ 1 3/4

Convert the mixed numbers to improper fractions.

7/2 ÷ 7/4

Keep Change Flip

7/2 × 4/7

28/14

2 books

Answer:

B and E

Step-by-step explanation:

^

The distribution that the residuals in our model to follow is equals to the normal probability distribution. So, option(a).

Because residuals are defined as the difference between any data point and the regression line, they are sometimes called "errors". An error in this context does not mean that there is anything wrong with the analysis. In other words, the residual is the error that is not described by the regression line. The residue(s) can also be expressed by "e". The formula is written as, Residual = Observed value – predicted value or

\(e = y – \hat y \).

In order to draw valid conclusions from your regression, the regression residuals should follow a normal distribution. The residuals are simply the error terms or differences between the observed value of the dependent variable and the predicted value. Therefore, the residuals should have a normal distribution.

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Complete question:

we desire the residuals in our model to have which probability distribution? select answer from the options below

a) normal

b) binomial

c) poisson

1. The gradient of AB is 0.5

2. The gradient of BC is tan θ

The gradient is the amount of vertical movement for each unit of horizontal movement to the right.

The gradient can also be called the slope and it expressed as;

S = y2-y1)/x2 -x1

1. The gradient of line AB

= 0-5)/-8-2

= -5/-10

= 1/2

therefore the gradient of AB is 1/2

2. using analytical method , the gradient of BC can be found by finding the value of θ

tan θ= gradient.

line AB = √ -10² + 5²

AB = √ 125

AB = 11.2

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Answer:(x+3)=2x

Step-by-step explanation:

Answer:

3x+2

Step-by-step explanation:

False. the statement "If a variable x does not depend on a variable y, both coefficients are equal to zero" is false.

The coefficient of determination (R-squared) and the coefficient of correlation (Pearson's correlation coefficient) are related but distinct measures.

The coefficient of determination, denoted as R², measures the proportion of the variance in the dependent variable (y) that can be explained by the independent variable(s) (x). It ranges from 0 to 1, where a value of 0 indicates that the independent variable(s) do not explain any of the variance in the dependent variable, and a value of 1 indicates that the independent variable(s) completely explain the variance in the dependent variable.

On the other hand, the coefficient of correlation, denoted as r, measures the strength and direction of the linear relationship between two variables (x and y). It also ranges from -1 to 1, where a value of -1 indicates a perfect negative linear relationship, a value of 0 indicates no linear relationship, and a value of 1 indicates a perfect positive linear relationship.

If a variable x does not depend on variable y, it means there is no linear relationship between the two variables. In this case, the coefficient of correlation (r) would be 0, indicating no linear relationship. However, the coefficient of determination (R²) could still be non-zero if there are other independent variables that explain the variance in the dependent variable y.

Therefore, the statement "If a variable x does not depend on a variable y, both coefficients are equal to zero" is false.

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Answer:

1. 10

2. if x was positive

3. if x was negative

Step-by-step explanation:

1. he starts on -2. so -2 + 12 is 10, so he would be on the space number 10.

2. if he moved to the right, it would mean you added something to 3. so, if x was positive, then it would move to the right.

3. if he moved to the left, it would mean that you subtracted something from 3. so, if x was negative, then it would move to the left.

Answer:

SIDE ANGLE SIDE

Step-by-step explanation:

Because all yo have to do is see what fits.

Answer:

Area=63.96

Step-by-step explanation:

Given data

A flower bed is 2 meters wide and 3 meters long

convert to feets

1m to feet 3.28084

2m to feet x

x= 3.28084*2

x=6.5ft

3m to feet

=3.28084*3

=9.84ft

Area= 6.5*9.84

Area=63.96

Answer:

13.5

Step-by-step explanation:

the answer is 13.5, because you do the proportionate equations of 6/4 = x/9, and then you cross multiply to get 4x=54, and then you isolate x, so the answer is 13.5

The prove of given limit lim θ → 0 ( sin θ / θ ) = 1 is shown in below.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

⇒ lim θ → 0 ( sin θ / θ ) = 1

Here, The form of given limit is 0/0, so we can apply the L - Hospital Rule.

⇒ lim θ → 0 ( sin θ / θ ) = 1

Take LHS;

⇒ lim θ → 0 ( d/dθ (sin θ)/ dθ/dθ )

⇒ lim θ → 0 ( cos θ / 1 )

⇒ ( cos 0 )

⇒ 1

⇒ RHS

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Answer: You need 10 men to repair 20 chairs in 3 hours.

Explanation:

If 5 men can repair 10 chairs in 3 hours.

You have to figure out how many chairs one man repairs.

So you take the 10 chairs and divide it by the 5 men, which gives you 2

1 man will repair 2 chairs

Then take the 20 chairs and divide it by 2 chairs and it will give you how many men you will need. Which is 10 men

Hope this helps<3

Answer:

40/100 × 800

council the zeros

40× 8/1

320

Answer:

20%

Step-by-step explanation:

8/40 =x%/100%

800%/40=40x%/40

20=x%

x=20%

Answer:

Its C

Step-by-step explanation:

Im not sure if its correct but heres  the best i  explination I got!!

Ok so  first negatives would be least so ignore 13   and seven

now since  theres two that could be greater than the other ( -11 3/4 or -13) next would be  -7 after u and the 7 to 13! so ur best one is C since D and E make -11 behind 7 or scrambled in greatest

The NPV is positive, it is worth taking the Investment.

Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.

This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:

NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.

The given problem can be solved by using the following steps:

Calculate the present value (PV) of the expected cash inflows:

Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82

Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39

Since the NPV is positive, it is worth taking the investment.

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The temperature at 10:00 am is -5.5°C, since the temperature at 12:00 am midnight, was 12°C and the temperature dropped by 1.75°C every hour.

The temperature at midnight is 12°C

The temperature is dropped by 1.75°C every hour.

We need to find the temperature at 10:00 am when the temperature is dropped by 1.75°C every hour from midnight temperature at 12°C.

The midnight is considered to be 12:00 am.

From 12:am midnight to 10:00 am we have 10 hours.

So,

Temperature drop in an hour = 1.75°C

1 hour = 1.75°C

Multiplying 10 on both sides.

10 x 1 hour = 1.75°C x 10

10 hours = 17.5°C

We see that,

The temperature drop in 10 hours is 17.5°C.

The temperature at midnight 12:00 am = 12°C

The temperature at 10:00 am = 12°C - 17.5°C

                                                  = -5.5°C

If the temperature at 12:00 am is 12°C where every hour the temperature drops by 1.75°C then the temperature at 10:00 am will be -5.5°C since there is a ten hours difference between 12:00 am to 10:00 am.

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Answer: 0.25$ or a quarter

Step-by-step explanation:

Katlin bought 14 pencils, which cost her $3.50. So all you have to do is divide the amount ($) by the number of pencils.

3.50/14 = 0.25$

3.50 divided by 14

Each pencil cost a quarter

Answer:

√{365×4×365}=√(365²×2²)=±(365×2)=±730

Answer:

\(\sqrt{365\cdot \:4\cdot \:365}=\sqrt{532900}\)

\(=\sqrt{730^2}=730\)

Answer:

1 2/7

Step-by-step explanation:

Quotient means division

-3/7 ÷-1/3

Copy dot flip

-3/7 * -3/1

9/7

7/7 + 2/7

1 2/7

Answer:

i hop this halp

Step-by-step explanation:

less than 10 units.