C is the circumcenter of isosceles triangle ABD with vertex angle ∠ABD. Does the following proof correctly justify that triangles ABE and DBE are congruent? It is given that triangle ABD is an isosceles triangle, so segments AB and DB are congruent by the definition of isosceles triangle. It is given that C is the circumcenter of triangle ABD, making segment BE a median. By the definition of perpendicular, angles AEB and DEB are 90°, so triangles ABE and DEB are right triangles. Triangles ABE and DEB share side BE making it congruent to itself by the reflexive property. Triangles ABE and DBE are congruent by HL

Me. I definitely want to take a break

There appears to be positive correlation between number of rainy days and tomato plant height.

This can be said because a positive correlation is a relationship between two variables that if one moves in a direction the other moves in the same direction. In this situation the rain increases so the tomato plant height increases, therefore there is a positive correlation.

A correlation coefficient is a statistical indicator of how well changes in one variable's value predict changes in another. When two variables are positively linked, the value either rises or falls together.

A correlation reveals the nature and magnitude of a link between two variables. In other words, it illustrates the degree to which measurements of two or more variables are comparable throughout a dataset.

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Winning lottery 5 times most likely, guessing 64-bit key, 128-bit key, hit by lightening.

What is probability ?

Probability is a measure of the likelihood of an event occurring. It is typically expressed as a decimal or fraction between 0 and 1, with 0 indicating that an event is impossible, and 1 indicating that an event is certain.

1) Being hit by lightning this year (probability is 1/105) - The probability is the lowest because the odds of being hit by lightning in a given year are relatively low.

2) Guessing a 128-bit key on the first try - The probability of guessing a 128-bit key on the first try is very low because of the large number of possible key combinations.

3) Guessing a 64-bit key on the first try - The probability of guessing a 64-bit key on the first try is lower than guessing a 128-bit key, but still relatively low because of the large number of possible key combinations.

4) Winning a lottery with 1 million (106) contestants five times in a row (the probability is (1/106)5) - The probability of winning a lottery with such large number of contestants is relatively low, but it is still much higher than the first three events.

So the order is:

1) Being hit by lightning this year

2) Guessing a 128-bit key on the first try

3) Guessing a 64-bit key on the first try

4) Winning a lottery with 1 million contestants five times in a row,

Winning lottery 5 times most likely, guessing 64-bit key, 128-bit key, hit by lightening.

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So, there are 56 different committees possible, of 3 people, that could be elected to attend a political national convention from a ballot of 8 names.

When choosing a committee of 3 people from a group of 8 names, the order in which the names are chosen does not matter and repetition is not allowed, this is an example of a combination.

The number of different committees possible is given by the binomial coefficient (n choose k) where n is the number of items to choose from (in this case, 8 names) and k is the number of items to choose (in this case, 3 names for the committee).

The binomial coefficient is calculated as:

n!/(k!(n-k)!)

where ! denotes the factorial operator, meaning the product of all positive integers up to that number.

So in this case, the number of different committees possible is (8!/(3!(8-3)!) = 8!/(3!5!) = (876)/(321) = 56.

Therefore, there are 56 different committees possible, of 3 people, that could be elected to attend a political national convention from a ballot of 8 names.

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The number of seconds in a year in scientific notation is 31,536,000 seconds or [tex]3.154 * 10 ^{7}[/tex]

In one hour [tex]60 \ sec * 60\ min = 3600 \ sec[/tex]

For one day we have to multiply [tex]3600 * 24 = 86400\ sec[/tex]

For one calendar year (365 days) = [tex]86400 * 365 = 31536000 \ sec[/tex]

It Can be written as : [tex]3.154 * 10 ^{7}[/tex]

∴ In a year, there are 31,536,000 seconds.

Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation.

We must adhere to the following rule in order to calculate the power or exponent of 10:

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The following question may be like this:

Express the number of seconds in a year in scientific notation (1year= 365days)​

The number of seconds in a year is 31,536,000 seconds. Rounded to three significant figures, the number of seconds in a year can be written as 3.15 x 10^7 seconds in scientific notation.

Scientific notation is a way to represent numbers as a decimal multiplied by a power of 10. The decimal part is always between 1 and 10, and the power of 10 gives the number of zeros or decimal places in the original number. For example, the number of seconds in a year can be written as 31,536,000 seconds in scientific notation as 3.1536 x 10^7.

The number of seconds in a year is 31,536,000 (60 seconds x 60 minutes x 24 hours x 365 days).

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Answer: Multiplying both sides of the original equation by 100 gives the same

the solution as follows;

100 × (2.3·p - 10.1) = 100 × (6.5·p - 4 - 0.01·p)

230·p - 1010 = 650·p - 400 - p

Step-by-step explanation:

It appears to be a constant connection that the square matrix has n eigenvalues, where n is the dimensions (not dimensions as in Rank, but as in # of Column values) of the square matrix.

similar to: a 3x3 matrix square, which has 3 Eigenvalues and only permits eigenvalue decomposition in the event that the matrix is diagonasible.

I think it has to do with how mirror-reflective and inverse the dimensional features of the Matrix can be, and how its linear structure is strong enough to support a dimensional cube.

When it comes to interaction, eigenvalue decomposition can be used to systematically eliminate it.

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Answer: 3.5

Step-by-step explanation:

70/20=3.5

Two isosceles right triangles are the two triangles formed by the cut.

A quadrilateral is a four-sided polygon, having four edges and four corners.

Given that Nathan cut a square tile in half for his kitchen, he made one cut along a diagonal from one vertex to another,

We need to find the triangles formed by cutting the square diagonally.

Every square has 4 right angles, so each triangle will have one right triangle, which makes the triangles, right triangles.

They are isosceles because all sides of the square are the same, though the diagonal is not.

Hence,  Two isosceles right triangles are the two triangles formed by the cut.

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a. The number of people that enjoyed only skiing is 129

b. The number of people that enjoyed snow boarding and ice skating only is 13

c. The number of people that enjoyed snow board or ice skating is 221

d. The number of people that enjoyed none is 35

e. The number of people that enjoyed at least two is 62

sets is a collection of well-defined objects or elements.

The total number of visitors is 350

n(ski and snow board only) = 49-2 = 47

n( ski and skating) only= 2-2 = 0

n( snow board and skating) = 15-2 = 13

n( snow board only) = 154-(47+13+2) = 92

n( skating only) = 57-(13+2) = 32

a. The number of that that enjoyed skiing only = 178-(47+2) = 129

b. n( skating and snow board) only= 13

c. n ( ski or snow board) only = 129+92 = 221

d. the number of people that didn't enjoy any = 350-(129+47+92+13+32+2)

= 350-315 = 35

e. the number of people that enjoyed at least two = 13+2+47 = 62

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The range of the function will exist on all real numbers. Option D is correct.

what is the Range?

The range gives an idea of how spread out the values in a dataset are and it's a simple measure of dispersion.

The formula for range is:

Range = Maximum value - Minimum value

Given the function  f (x) = x^2 + 2x – 6,

The function of the table will also give a quadratic function of degree two.

The sum of the functions will also lead to a quadratic function and since for all input values of the function, there will be a corresponding output, hence the range of the function will exist on all real numbers.

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1) Note that the dark triangles are outliers.

2) Omitting the outlines changed the correlation between the variables because outliers can skew the data and make the relationship between the variables appear stronger or weaker than it actually is.

3) Outliers can greatly affect the data by distorting the overall relationship pattern between the variables.

An outlier in statistics is a data point that deviates considerably from other observations.

It is correct to state that an outlier can be caused by measurement variability, a hint of new data, or an experimental mistake; the latter is sometimes eliminated from the data set.

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Answer:

See below

Step-by-step explanation:

Your question lacks context, but zero would be in the quotient if the dividend is 0 and the divisor is some natural number (all integers but 0).

The density in butter has a mass of 250g and volume of 290cm³ is 0.862 g/cm³.

Density is a physical property of matter that is defined as the amount of mass per unit of volume. It is measured in units of kilograms per cubic meter (kg/m^3) and is usually represented by the Greek symbol ρ (rho).

Density is a measure of how tightly the particles of a substance are packed together. The denser a substance is, the more mass it contains in a given volume.

Most commonly, density is used to compare different substances, such as solids, liquids, and gases.

In general, solids are more dense than liquids, and liquids are more dense than gases.

The density of a substance can change based on temperature, pressure, and other factors. For example, water has a greater density at 4°C than at any other temperature, and the density of a gas increases with increasing pressure.

Density is an important factor in many physical and chemical processes, including buoyancy, diffusion, and surface tension.

Density is also used in many calculations, such as calculating the volume of a container or the mass of an object.

Density, p = m/v

Where, m is mass of butter and v is volume of butter.

p = 250/290

p = 0.862 g/cm³

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According to the area of parallelogram, the value of height is 4m.

In math the term parallelogram is defined as a special kind of quadrilateral in which the opposite sides are parallel and equal.

And the general form to calculate the area of parallelogram is written as,

=> A = base x height,

Here we know that the area of the parallelogram is 48 m² and the base is 12 m.

Then the value of height is calculated as,

=> 48 = 12 x height.

When we simplify this one then we get the value of height as,

=> height = 48/12

=> height = 4.

Therefore the correct option is A.

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Answer:

the answer is to the question is 12

The probability that you pull a card at random from a regular 52 card deck and it is either a 3 or a heart is,

⇒ 17/52

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

We know that;

In a regular 52 card deck,

Number of 3 cards = 4

And, Number of heart cards = 14

Hence, The probability that you pull a 3 cards = 4 / 52

And, The probability that you pull a heart = 13/52

Thus, The probability that you pull a card at random from a regular 52 card deck and it is either a 3 or a heart is,

⇒ 4/52 + 13/52

⇒ 17/52

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The value of the improper fraction will be:

1. 2 2/3 = 8/3

2. 4 1/2 = 9/2

3. 1 7/10 = 17/10

4. 2 3/8 = 19 / 8

5. 5 5/9 = 50/9

6. 1 7/12 = 19/12

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

The improper fraction will be:

1. 2 2/3 = (2 × 3 + 2) / 3 = 8/3

2. 4 1/2 = (4 × 2 + 1) / 2 = 9/2

3. 1 7/10 = (1 × 10 + 7) / 10 = 17/10

4. 2 3/8 = (2 × 8 + 3) / 8 = 19 / 8

5. 5 5/9 = (5 × 9 + 5) / 9 = 50/9

6. 1 7/12 = (1 × 12 + 7) / 12 = 19/12

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Therefore, the given statement that the t-distribution has more area in the tails than the standard normal distribution

SO ITS TRUE

Answer: true

Step-by-step explanation:

Answer:

Answers are in bold

Data set A:

Mean: 7

Median: 7

Mode: 7

Range: 11

Data set B:

Mean: 78

Median: 95

Mode: No mode or all the numbers (85, 105, 95, 90, 115)

Range: 30

Data set C:

Mean: 13

Median: 13

Mode: 11 and 16

Range: 7

Step-by-step explanation:

I just answered this but you're welcome.

A fraction in simplest form M = 3/4

Part A is 1/4 of the whole

Part B is 3/4 of the whole

Assuming there are no other parts,

the Whole = A + B is the denominator:

Whole = 3 + 9 = 12

Part A = 3 and Part B = 9 are numerators for each fraction.

The fractions are then:

3/12 and 9/12

Meaning:

Part A is 3/12 of the whole

Part B is 9/12 of the whole

Reducing the fractions, it is also true that:

Part A = 1/4 of the whole

Part B = 3/4 of the whole

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As the importance of having a powerful online presence continues to grow, many people are chosen to build their own websites using do-it-yourself (DIY) tools.

These tools, also known as website builders, are relatively easy to use and inexpensive. Examples include Wix, Square Space, Weebly, and more.

Web builder users lean to create two various types of websites, either personal sites a creative display, blog or portfolio or business sites for online ecommerce, sales, or an online business presence.

Understanding what users of web builders design with the DIY tools is an important step in pick out what makes these tools stand out.

While the mass of users is familiar with the techniques needed to build a site, the actual types of websites being built vary. Nearly half of respondents (48%) specify that their website was built for personal purposes, while 42% said that their website is for business.

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For completion of maze faster, time need to be decreased. therefore test is left tailed.

The significance level, also denoted as alpha or α, is the probability of rejecting the null hypothesis when it is true. For example, a significance level of 0.05 indicates a 5% risk of concluding that a difference exists when there is no actual difference.

These types of definitions can be hard to understand because of their technical nature. A picture makes the concepts much easier to comprehend!

The significance level determines how far out from the null hypothesis value we'll draw that line on the graph. To graph a significance level of 0.05, we need to shade the 5% of the distribution that is furthest away from the null hypothesis.

It is give that mean time for maze is

seconds.

We will conduct hypothesis for population parameter (not sample statistics).

The null and alternate hypothesis are as below:

H0 : µ = 18

Ha : µ < 18

For completion of maze faster, time need to be decreased. therefore test is left tailed.

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The table of values is not a function

From the question, we have the following parameters that can be used in our computation:

The table of values

The general rule of functions is that

Each y value must have different x values

In the table of values, the y values 2 and 5 all have the same x value

Hence, it is not a function

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The equation that represents the total sales for the month is given as follows:

y = 0.05x + 1000.

The linear function for this problem is defined in slope-intercept format, as follows:

y = mx + b.

In which:

The parameters for this problem are given as follows:

b = 1000, m = 0.05.

Hence the function is defined as follows:

y = 0.05x + 1000.

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Answer:

I believe the answer is C... I might be wrong but I hope it helps you!!

Step-by-step explanation:

Answer:

I think the answer is b

-1,2

The complete statement would be, confounding  in a study occurs when the effects of two or more explanatory variables are not separated. Therefore, any relation that may exist between an explanatory variable and the response variable may be due to some other variable or variables not accounted for in the study.

We know that an  extraneous variable is a variable that has the potential to affect the results and it is not a independent variable.

A confounding variable is nothing but a type of extraneous variable which is related to a study’s independent and dependent variables.

These variables (confounding variables) are also known as confounders or confounding factors.

Any variable must follow following conditions to be a confounding variable:

1) A variable must be correlated with the independent variable.

2) It must be related to the dependent variable.

Thus, confounding occurs when the effects of two or more explanatory variables are not separated. therefore, any relation that may exist between an explanatory variable and the response variable may be due to some other variable not accounted for in the study.

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The complete question is:

__________ in a study occurs when the effects of two or more explanatory variables are not separated. Therefore, any relation that may exist between an explanatory variable and the response variable may be due to some other variable or variables not accounted for in the study.

The equation of the exponential function in the table is

Exponential function is a type of function of the form: f(x) = a(b)^x. It is made up of  3 main parts

a = the starting or initial value

b = the base function

x = the exponents

Considering the given problem, as in the table

the starting = is f(0) = 0.2

Solving for the base

f(x) = a(b)^x at x = 1

0.6 = 0.2(b)^1

0.6 = 0.2b

b = 0.6 / 0.2

b = 3

hence the equation is f(x) = 0.2(3)ˣ

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Answer:

Step-by-step explanation: