Write a function to model the data.
X -1 0 1 2 3 Y 0 -6 6 0 12
The function is y = _.

Answer:

resistant

because the median is not affected by the size of an outlier and does not change even if a particular outlier is replaced by an even more extreme value, we say the median is resistant to outliers.

The other side of the fence based on the information illustrated is 6.5 feet.

It should be noted that the perimeter of a rectangle is illustrated as:

= 2(length + width)

In this case, the width is given as 7/2 = 3.5 feet.

It should be noted that the perimeter is given as 20 feet.

Therefore, the length will be:

2(length + width) = 30

2(length + 3.5) = 20

2Length + 7 = 20

2L = 20 - 7

2L = 13

L = 13/2

L = 6.5

Therefore, the length is 6.5 feet.

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Answer:

f(g(3)) =31

Step-by-step explanation:

f(x) = 3x+4

g(x) = x^2

f(g(3) ) =

First find g(3)

g(3) = 3^2 =9

The use 9 in f(x)

f(g(3)) = f(9) = 3*9+4 = 27+4 = 31

The answer is ,  the Taylor series (centered at c=0) for the function f(x) = e^(4x) is given by:

\($$\large f(x) = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n$$\)

The Taylor series expansion is a way to represent a function as an infinite sum of terms that depend on the function's derivatives.

The Taylor series of a function f(x) centered at c is given by the formula:

\(\large f(x) = \sum_{n=0}^{\infty} \frac{f^{(n)}(c)}{n!}(x-c)^n\)

Using the definition of Taylor series to find the Taylor series (centered at c=0) for the function f(x) = e^(4x), we have:

\(\large e^{4x} = \sum_{n=0}^{\infty} \frac{e^{4(0)}}{n!}(x-0)^n\)

\(\large e^{4x} = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n\)

Therefore, the Taylor series (centered at c=0) for the function f(x) = e^(4x) is given by:

\($$\large f(x) = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n$$\)

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The Taylor series for f(x) = e^(4x) centered at c = 0 is:

f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...

To find the Taylor series for the function f(x) = e^(4x) centered at c = 0, we can use the definition of the Taylor series. The general formula for the Taylor series expansion of a function f(x) centered at c is given by:

f(x) = f(c) + f'(c)(x - c) + f''(c)(x - c)^2/2! + f'''(c)(x - c)^3/3! + ...

First, let's find the derivatives of f(x) = e^(4x):

f'(x) = d/dx(e^(4x)) = 4e^(4x)

f''(x) = d^2/dx^2(e^(4x)) = 16e^(4x)

f'''(x) = d^3/dx^3(e^(4x)) = 64e^(4x)

Now, let's evaluate these derivatives at x = c = 0:

f(0) = e^(4*0) = e^0 = 1

f'(0) = 4e^(4*0) = 4e^0 = 4

f''(0) = 16e^(4*0) = 16e^0 = 16

f'''(0) = 64e^(4*0) = 64e^0 = 64

Now we can write the Taylor series expansion:

f(x) = f(0) + f'(0)(x - 0) + f''(0)(x - 0)^2/2! + f'''(0)(x - 0)^3/3! + ...

Substituting the values we found:

f(x) = 1 + 4x + 16x^2/2! + 64x^3/3! + ...

Simplifying the terms:

f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...

Therefore, the Taylor series for f(x) = e^(4x) centered at c = 0 is:

f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...

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As a question-answering bot, I cannot provide the solution of this question as it requires the use of MATLAB software which cannot be done in this platform. However, I can provide a general overview and steps that can be followed to solve the problem.  List all maximal orthogonal subsets of the above set. That is, group the vectors v, w, x, y, and z in as many ways as possible so that all the vectors in your group are orthogonal to each other and none of the vectors outside the group are orthogonal to all the vectors in the group. The maximal orthogonal subsets of the above set are: {v, y}, {w, x}, {z}b. Take the largest orthogonal subset and normalize all the vectors in that set as follows: >> V-v/norm(v) This code replaces v with itself divided by its size-so we get a vector pointing in the same direction but with length 1. The above code normalizes v, so you'll have to normalize the other vectors in your orthogonal subset as well, replacing v with the appropriate letter. Store the resulting vectors in MATLAB as columns of a matrix W. Enter them in alphabetical order from left to right.The largest orthogonal subset is {w, x}. The normalized vectors are w/norm(w) and x/norm(x). Store the resulting vectors in MATLAB as columns of a matrix W and enter them in alphabetical order from left to right. The resulting matrix would be: W = [1/√19 6/√19; 3/√19 1/√19; 0 -3/√19]Note: This solution is based on the assumption that the vectors are given in column form.

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The benefactor must deposit $Po. Answer: $Po based on the rate.

Given data: A benefactor wants to establish a trust fund to pay a researcher's salary for (exactly) T years.

The salary is to start at S dollars per year and increase at a fractional rate of a per year.The benefactor needs to find the amount of money Po that the benefactor must deposit in a trust fund paying interest at a rate r per year. Let us denote the amount the benefactor must deposit as Po.

The salary of the researcher starts at S dollars and increases at a fractional rate of a dollars per year. Therefore, after n years the salary of the researcher will be.

So, the total salary paid by the benefactor over T years can be written as,  (1)We know that, the interest is compounded continuously, and the salary increases are granted continuously.

Hence, the rate of interest and fractional rate of the salary increase are continuous compound rates. Let us denote the total continuous compound rate of interest and rate as q. Then, (2)To find Po, we need to set the present value of the total salary paid over T years to the amount of money that the benefactor deposited, Po.

Hence, the amount Po can be found by solving the following equation:  Hence, the benefactor must deposit $Po. Answer: $Po

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1) Given that 1789 children visited a Taco Bell in 24 hours. We can calculate the number of students who went every hour by dividing this number by the number of hours:

\(1789 / 24 = 74.54\\\frac{1789}{24} = 74.54\)

We get 75 students each hour, rounded up to the nearest whole number.

If 24 children shared, we can calculate the total number of children who shared by multiplying the number of hours by the number of children shared every hour:

24 x 75 = 1800

As a result, 1800 children shared.

2)If 1638 men cheated on their wives in one week, multiplying by 7 gives us the number of men who cheated on their wives in seven weeks:

1638 x 7 = 11,466

As a result, 11,466 men cheated on their wives in just 7 weeks.

c) If 47% of the men who cheated on their spouses in 7 weeks cheated numerous times before, we can calculate the number of men who cheated previously by multiplying the total number of men who cheated by the proportion of men who cheated previously:

11,466 x 0.47 = 5,390.02

Rounding to the nearest whole number, we get 5,390 men who have cheated in the past.

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It is essential to choose a suitable hash function and carefully manage the density of keys in a hash table to ensure efficient storage and retrieval of data while minimizing the risk of collisions.

Hashing is a technique used to store and retrieve data quickly in data structures like hash tables. In a hash table, data elements are accessed based on their unique keys, which are mapped to specific locations in an underlying array using a hash function. However, if two or more keys have the same hash value, a collision occurs, and the keys must be stored in separate locations within the array.

The likelihood of collisions occurring increases as the density of keys relative to the length of the array increases. This is because the number of keys competing for the same hash bucket becomes higher, increasing the probability that two or more keys will have the same hash value. On the other hand, if the density of keys decreases, the probability of collisions also decreases. With fewer keys competing for the same buckets, each key has a better chance of being assigned a unique location within the array.

Therefore, it is essential to choose a suitable hash function and carefully manage the density of keys in a hash table to ensure efficient storage and retrieval of data while minimizing the risk of collisions.

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Answer:

1.05821886 ounces

Step-by-step explanation:

To convert 30 grams to ounces, use the conversion factor 1 ounce = 28.3495 grams.

Answer:

35 marbles were blue

Step-by-step explanation:

42/6 = 7

7 x 5 = 35

Jack is at (2/3) of the length of the beach (measuring from the point where they started).

Let's think that the whole beach is like a line track of length L.

We know that when Jill completes reaches the end (one complete run) Jack only completed half of it.

So in the time that jill covers the distance L, Jack covers a distance of L/2. So the ratio of their speeds is 2:1 (Jill's speed is double of Jack's speed).

At this point, Jill is on the end of the track and Jack is on the middle, so the distance between them is L/2.

Because of the ratios between the speeds, we know that when they meet again, Jill will have covered 2 thirds of that distance, and jack will cover the other third of that distance.

A third of that distance is:

(L/2)/3 = L/6

So, when they meet, Jack is at L/6 of the middle of the beach, which means that Jack is:

L/2 + L/6 = 3L/6 + L/6 = 4L/6 = 2L/3

Jack is at (2/3) of the length of the beach (measuring from the point where they started).

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Answer:

Step-by-step explanation:

\(3=\frac{a+r}{a-r} \\3a-3r=a+r\\3a-a=r+3r\\4r=2a\\r=\frac{1}{2} a\)

Answer:

\(y = 3x + 12\)

Step-by-step explanation:

The rate of change is represented as the slope.

The problem is asking for a slope that is equal to 3.

y=6x-3 is incorrect, the equation is simplified and the slope is 6.

3y=2x+5 is incorrect, the slope is 2 and the equation isn't simplified.

y=3x+12 is correct, the equation is simplified and it's showing the correct slope.

The provided dataset is used to investigate the relationship between earnings and height. R commands are used to import the data into a dataframe and visualize the relationship between height and earnings. The correlation coefficient between height and earnings can be calculated to determine the strength of the relationship.

To investigate the relationship between earnings and height, the provided dataset is loaded. The dataset for the investigation is available here. A statistical package of your choice can be used to answer the following questions.Run the following R commands to import the data from the provided link into a dataframe:
df <- read.csv("https://archive.ics.uci.edu/ml/machine-learning-databases/00320/student.zip")
df <- df[,c(1,2,3,6,7,8,11,12,13,16,17,18,19,20,21,22)]
The above-mentioned code imports data from the provided link and selects the following variables. Then, we will visualize the relationship between the height and earnings of individuals.
library(ggplot2)

ggplot(df,aes(height,earnings))+geom_point()+ggtitle("Height vs Earnings")+theme(plot.title = element_text(hjust = 0.5))
After running the above R command, we get a scatter plot with earnings on the y-axis and height on the x-axis. It shows the relationship between height and earnings of individuals. As we can see from the graph, there is a linear relationship between the two variables, height and earnings. It means that height and earnings are positively related. The correlation coefficient between height and earnings can be calculated to obtain the exact correlation. The value of the correlation coefficient will tell us about the strength of the relationship between the two variables. It ranges between -1 to +1, where -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no correlation.

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Answer:

answer C: 140 cm

Step-by-step explanation:

If the water rises 14cm in 2 seconds, 21cm in 3 seconds etc... Then the water rises at 7cm per second. Multiply this by 20 seconds and you get 140cm

By find how high the water would be after 20 seconds, you would find out much height is increasing each second.

21 - 4 = 7

28 - 21 = 7

35 - 35 = 7, and so forth.

So, we know that 7 cm is increasing each second. You would just add 7 to the height for each second.

2 --> 14

3 --> 21

4 --> 28

5 --> 35

6 --> 42

7 --> 49

8 --> 56

9 --> 63

10 --> 70

11 --> 77

12 --> 84

13 --> 91

14 --> 98

15 --> 105

16 --> 112

17 --> 119

18 --> 126

19 --> 133

20 --> 140

Thus, after 20 seconds, the water's height would be c) 140 cm.

Answer:

Sample Answer:

Step-by-step explanation:

The coefficients on the x2 terms cancel each other because 1 – 1 = 0.

The constant was not included.

The coefficients on the x terms were subtracted incorrectly; 8x – 6x = 2x (not negative).

Answer:

Sample Response: If you simplify the first expression, you will not get the second expression. In the first expression, the x2 terms have coefficients of 1 and -1 and, when combined, the result is 0. Also, the x terms have coefficients of 8 and -6 and, when combined, the result is 2. Finally, the constant from the first expression is not in the second expression.

Answer:

i think the answer is D

Answer:

20 years is the answer

Step-by-step explanation:

Aladdin has 15 gold coins in his magic bag. the Genie tells him that for every 100 gold coins he has in his magic bag, he will get 5 extra gold coins every year. how many years later will Aladdin have 30 gold coins in his bag?

Answer:

(m + 2)

Step-by-step explanation:

First, factorise out m from the first equation:

m² + 2m = m (m + 2)

Second, use difference of two squares to factorise the 2nd equation:

m² - 4 = (m + 2) (m - 2)

Third, just factorise the last one normally as you would to solve for m:

m² + 3m + 2 = (m + 2) (m + 1)

Finally, to find the lowest common multiple, you need to identify what value goes into all of the equations and that is (m + 2).

Answer:

3.5/10 taller

Step-by-step explanation:

3/4 is 0.75 and 4/10 is 0.40

0.75-0.40=0.35

0.35 can also be written as 3.5/10 or 35/100

Answer: 55, 62, 69, 76

Step-by-step explanation:

(to complete the table, plug d values into the equation to find p values)

p = 7d + 6, d = 7

p = 7(7) + 6 = 49 + 6 = 55

p = 7d + 6, d = 8

p = 7(8) + 6 = 56 + 6 =62

p = 7d + 6, d = 9

p = 7(9) + 6 = 63 + 6 =69

p = 7d + 6, d = 10

p = 7(10) + 6 = 70 + 6 =76

A cubic close-packed (ccp) unit cell has a coordination number of 12.

A cubic close-packed (ccp) unit cell has an arrangement of atoms where each atom is surrounded by 12 other atoms, resulting in a coordination number of 12.

A cubic close-packed (ccp) unit cell is a type of unit cell that has an arrangement of atoms where each atom is surrounded by 12 other atoms. This arrangement forms a structure with a coordination number of 12, meaning that each atom has 12 other atoms in contact with it. This type of arrangement is very common in many materials, and is often used to describe the structure of metals and other crystalline materials. The atoms in a ccp unit cell are arranged in a regular pattern, with three atoms in each of the eight corners and four atoms in the center of each face of the unit cell.

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To calculate the energy of the resulting explosion when a 10,000 kg UFO made of antimatter crashes with a 40,000 kg plane made of matter, we can use Einstein's famous equation, E=mc², which relates energy (E) to mass (m) and the speed of light (c).

In this case, we'll need to calculate the total mass of matter and antimatter involved in the collision and then use the equation to find the energy released. The equation E=mc² states that energy is equal to the mass multiplied by the square of the speed of light (c). In this scenario, we have a collision between a UFO made of antimatter and a plane made of matter. Antimatter and matter annihilate each other when they come into contact, resulting in a release of energy.

To calculate the energy of the resulting explosion, we need to determine the total mass involved in the collision. The total mass can be calculated by adding the masses of the UFO and the plane together. In this case, the UFO has a mass of 10,000 kg and the plane has a mass of 40,000 kg, so the total mass is 50,000 kg.

Next, we can use the equation E=mc² to calculate the energy. The speed of light (c) is a constant value, approximately 3 x 10^8 meters per second. Plugging in the values, we have E = (50,000 kg) x (3 x 10^8 m/s)². Simplifying the equation, we have E = 50,000 kg x 9 x 10^16 m²/s².Multiplying the numbers, we get E = 4.5 x 10^21 joules. Therefore, the energy of the resulting explosion when the UFO and plane collide is approximately 4.5 x 10^21 joules.

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y

yes, that is correct also here are some roasts for people u

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For the given equation

a)The maximum height of the ball is 12 meters.

b)The horizontal distance of the ball from the kicker is 20 meters.

c)The ball travels approximately 32.85 meters horizontally.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides, the left-hand side (LHS) and the right-hand side (RHS), separated by an equal sign (=). The equation can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Solving an equation means finding the value(s) of the variable(s) that make the equation true.

a) The equation is in vertex form, where the maximum height is the y-coordinate of the vertex. We can see that the vertex is at (20, 12), so the maximum height of the ball is 12 meters.

b) The horizontal distance of the ball from the kicker when it reaches its maximum height is the x-coordinate of the vertex. In this case, the vertex is at (20, 12), so the horizontal distance of the ball from the kicker when it reaches its maximum height is 20 meters.

c) To find the distance the ball travels horizontally from when it is kicked until it hits the ground, we need to find the value of d when h(d) = 0. This is because the ball hits the ground when its height is 0. Setting h(d) = 0, we get:

0 = -0.025(d – 20)2 + 12

Solving for d, we get:

(d – 20)2 = 480

d – 20 = ±√480

d = 20 ± 4√30

Since the ball is kicked when it is on the ground, we only consider the positive value of d:

d = 20 + 4√30

Therefore, the ball travels approximately 32.85 meters horizontally from when it is kicked until it hits the ground.

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The given statement is True because If the sample mean is close to the population parameter, it suggests representative sampling regarding the variable of interest, although other factors should be considered too.

When the sample mean closely approximates the population parameter, it indicates that the sample is capturing the central tendency of the population. The mean is a measure of central tendency that reflects the average value of the variable of interest in the population.

If the sample mean is similar to the population mean, it suggests that the sample is a good representation of the population in terms of that particular variable.

However, it is important to note that representativeness is a relative concept. A sample may be considered representative in one sense but not necessarily in all aspects. Other factors, such as the sampling method, sample size, and sampling bias, also influence the representativeness of a sample.

In summary, when the obtained mean of the observations in a research study is close to the population parameter, it provides evidence that the sample is representative of the target population to some degree, indicating that the sample captures the central tendency of the population for the variable under investigation.

However, representativeness should be assessed in consideration of other factors as well.

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The frequency table provides a clear overview of the distribution of honey consumption by Martha, highlighting the most common and less common amounts consumed throughout the week.

Based on the given data points representing the number of jars of honey Martha the Bear consumed each day this week, we can create a frequency table to summarize the information.

The frequency table will list the distinct values (number of jars of honey) and their corresponding frequencies (number of days).

Number of jars of honey   Number of days

       2                                                 4

       3                                                 4

       4                                                 6

       5                                                 3

      44                                                 2

In the frequency table, the number 2 appears 4 times, indicating that Martha consumed 2 jars of honey on 4 days. The number 3 also appears 4 times, indicating 3 jars of honey were consumed on 4 days. The number 4 appears 6 times, indicating 4 jars of honey were consumed on 6 days.

Similarly, the number 5 appears 3 times, indicating 5 jars of honey were consumed on 3 days. Finally, the number 44 appears 2 times, indicating 44 jars of honey were consumed on 2 days.

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Answer:

H'(13, -1)

Step-by-step explanation:

3 units down ==> y coordinate increases by 3 units

6 units right => x coordinate increases by 6 units

So point H(7, -4) -> H'(7 + 6, -4 + 3) = H'(13, -1)

Answer:

How to Find the Mean. The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.