48/52 in its simplest form

The mode is the most appropriate measure of center to represent the data in the graph because it reflects the most common value(s) observed in the dataset. In this case, the mode is 3.

The most appropriate measure of center to represent the data in the given line plot is the mode.

The mode is the value or values that occur most frequently in a dataset. In this case, we can observe the frequencies of the data points on the line plot:

There is one dot above 2, 4, 8, and 9.

There are two dots above 6 and 7.

There are three dots above 3.

Based on this information, the mode(s) of the dataset would be the values that have the highest frequency. In this case, the mode is 3 because it appears most frequently with a frequency of three. The other data points have frequencies of one or two.

The mode is particularly appropriate in this scenario because it represents the most common or frequently occurring value(s) in the dataset. It is useful for identifying the central tendency when the data is discrete and there are distinct peaks or clusters.

While the median and mean are also measures of center, they may not be the most appropriate in this case. The median represents the middle value and is useful when the data is ordered. However, the given line plot does not provide an ordered arrangement of the data points. The mean, on the other hand, can be affected by outliers and extreme values, which may not accurately represent the central tendency of the dataset in this scenario.

Therefore, the mode is the most appropriate measure of center to represent the data in the graph because it reflects the most common value(s) observed in the dataset. In this case, the mode is 3.

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Linear regression is a statistical method used to model the relationship between a dependent variable and one or more independent variables. It aims to find a linear equation that best fits the observed data points, allowing for the prediction of the dependent variable based on the independent variables.

In more detail, linear regression assumes a linear relationship between the dependent variable and the independent variables. The method estimates the parameters of the linear equation by minimizing the sum of the squared differences between the observed data points and the predicted values. This is typically done using a technique called ordinary least squares (OLS) regression. The resulting linear equation can be used to make predictions or infer the impact of the independent variables on the dependent variable.

Linear regression is widely used in various fields, including economics, finance, social sciences, and machine learning. It provides a simple and interpretable way to analyze and understand the relationship between variables. However, it is important to note that linear regression assumes certain assumptions about the data, such as linearity, independence of errors, and homoscedasticity. Violations of these assumptions can affect the accuracy and reliability of the regression model.

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Answer:

5.2

Step-by-step explanation:

adding all the numbers together and dividing it by 10.

Answer:

mean = 5.2

Step-by-step explanation:

The mean (or average) of a group of numbers is defined as the value calculated by adding all the given numbers together and then dividing the result by the number of numbers given.

Therefore,

\(\boxed{\mathrm{mean = \frac{sum \ of \ the \ numbers}{number \ of \ numbers}}}\).

In the question, the numbers given are: 3, 7, 2, 4, 7, 5, 7, 1, 8, and 8.

Therefore,

sum = 3 + 7 + 2 + 4 + 7 + 5 + 7 + 1 + 8 + 8

       = 52

There are 10 numbers given in the question. Therefore, using the formula given above, we can calculate the mean:

\(\mathrm{mean = \frac{52}{10}}\)

            \(= \bf 5.2\)

Hence, the mean of the given numbers is 5.2.

Answer:

\(\sqrt{65}\)

Step-by-step explanation:

Please see work attached.

hit the heart button :)

Answer:  \(\sqrt{65}\)

Step-by-step explanation:

distance formula is \(\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1} )^{2}}\)

take the 2points in the given (-4,-5) as (\((x_{1},y_{1} )\)) and (3,-1) as \((x_{2},y_{2})\)

and just substitute to get \(\sqrt{65}\)

Start at (0,0). To get to the other point, you must move up 8 units and move to the right 6 units.

slope = rise/run = (change in y)/(change in x) = 8/6

Or you could use the slope formula

m = (y2-y1)/(x2-x1)

m = (8-0)/(6-0)

m = 8/6

Normally I would reduce, but your teacher has decided not to.

8/6 reduces to 4/3 when you divide both parts by 2.

To answer this question, you need trigonometry.

Are you familiar with the chant soh cah toa?

In here, you can see that the side you have is adjacent to the angle you have, and you're trying to find the opposite side. This means you need tangent = opposite ÷ adjacent

If the angle was 30° 45° or 60° Then there is a table you can use to calculate, but there isn't so just use a calculator

tan 31° = x ÷ 10

Answer:

\(\begin{matrix}8&2&7\\ 4&&1\\ 5&3&9\end{matrix}\)

Step-by-step explanation:

\(\begin{matrix}a&e&b\\ f&&g\\ c&h&d\end{matrix}\)

From the table,we can extract these equations:

a + e + b = a + c + f = b + g + d = c + h + d

a + e + b = a + c + f ⇒ e + b = c + f

b + g + d = c + h + d ⇒ b + g = c + h

\(\begin{Bmatrix}e+b=c+f\\ b+g=c+h\end{Bmatrix} \Longrightarrow g-e=h-f\Longrightarrow g+f=h+e\)

2 + 3 = 4 + 1 then let’s consider :

e = 2 ; h = 3 ; f = 4 ; g = 1 ,which satisfies g + f = h + e

The table becomes:

\(\begin{matrix}a&2&b\\ 4&&1\\ c&3&d\end{matrix}\)

From the equation b + e = c + f we get b + 2 = c + 4 then b = c + 2

If we consider c = 5 ⇒ b = c + 2 = 5 + 2 = 7

Then the table becomes

\(\begin{matrix}a&2&7\\ 4&&1\\ 5&3&d\end{matrix}\)

Then a + 9 = d + 8 ⇒ d = a + 1

If we consider a = 8 ⇒ d = 9

\(\begin{matrix}8&2&7\\ 4&&1\\ 5&3&9\end{matrix}\)

I know it’s not perfect reasoning ,but it may help.

       a) To construct a stem-and-leaf plot for the given data, we separate each number into its stem (tens digit) and leaf (units digit). The plot would look as follows:

Stems:
1 | 9
2 | 5 5 6 7
3 | 0 1 1 1 2 2 4 5 6
4 | 2 2 2 4
5 | 2 4
6 | 2

The plot shows the frequency distribution of goals scored by Jagr in each season.

b) To determine the percentage of seasons where greater than 35 goals were scored, we count the number of seasons where the goal count exceeds 35, which is 14 out of the total 19 seasons. Therefore, the percentage is (14/19) * 100 ≈ 73.68%.

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Answer:

Up

Step-by-step explanation:

Answer:

a

using a calculator u can see the digits that follow.

Answer:

Option A is correct

Step-by-step explanation:

The mean of the data set is   427.5

We know that the mean of the data set as computed is obtained from; 345+340+400+625/ 4=  427.5

To obtain the variance of the data.

We now have to take the difference of the values and square it.

345-427.5 = -82.5

340-427.5 =-87.5

400-427.5 = -27.5

625-427.5 =197.5

Thus;

Variance=σ2 =(-82.5)^2 + (-87.5)^2 + (-27.5)^2+ (197.5)^2 /4  

σ2=6806.25+7656.25+756.25+39006.25/4

σ2=13556.25

The variance is 13556.2

For  the Standard deviation (S.D) of the data;

σ = √13556.25

σ =116.43

The Standard deviation of the data is 116.4

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Answer:

$125

Step-by-step explanation:

Given the following :

Number of desks sold = 3

Amount of rent paid = $4

Amount paid to carpenter = 1/2 of revenue

Amount left = $185.50

At what price did Ryan sell each desk?

If Rayee gave half of his revenue to the carpenter and then had $185.50 left,

The his revenue before paying the carpenter will be twice what he has left ($185.50 * 2) = $371

Hence, total revenue from the sale of 3 desk= ($371 + rent) = (371 + 4) = $375

Then each desk cost :

$375 / 3 = 125

$125

Non-probability sampling is the sampling method that is not based on chance or randomness but based on an inherently biased selection process.

Non-probability sampling is known to be a type of sampling method where  the researcher often selects samples using  subjective judgment instead of random selection.

This  type of sampling do not make use of randomness and as such it is known to  a less stringent method of sampling. IT is one that is based on the expertise of the researchers.

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The probability that all four songs are liked will be 0.03418 and the probability of not liking the next four songs will be 0.99658.

The probability of an event occurring is defined by probability.

Probability is also called chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.

As per the given,

Total songs = 53

Like songs = 14

Probability of selecting and liking the first song = 14/53

Now since repetition is not allowed and one like the song has been chosen out of 14 thus, the remaining songs = 13, and total songs = 43 - 1 = 52

Probability of selecting liking the second song = 13/52

Probability of selecting liking the third song = 12/51

Probability of selecting liking the fourth song = 11/50

a)

The probability of liking all songs will be 14/53 x 13/52 x 12/51 x 11/50 = 0.03418.

b)

The probability of not liking the next four songs =1 - The probability of liking all songs

The probability of not liking the next four songs = 1 - 0.03418 = 0.96582.

Hence "The probability that all four songs are liked will be 0.03418 and the probability of not liking the next four songs will be 0.99658".

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Answer:

1/2 x 1/8 = 1/16 in fraction form.

Answer:

The answer is 40%

Step-by-step explanation:

You divide 8 by 20 and you get a decimal, 0.4, make that into a percentage and you got 40%

a. The 90% confidence interval for the mean monthly electric bills of all residents is ($88.06, $91.94).

b. The 95% confidence interval for the mean monthly electric bills of all residents is ($87.05, $92.95).

To construct the confidence intervals, we use the formula: CI = X ± zα/2 * (σ/√n), where X is the sample mean, zα/2 is the critical value of the standard normal distribution for the desired level of confidence, σ is the population standard deviation, and n is the sample size.

For a 90% confidence interval, the critical value of zα/2 is 1.645. Plugging in the values, we get a confidence interval of ($88.06, $91.94). This means that we can be 90% confident that the true mean monthly electric bill for all residents falls between $88.06 and $91.94.

For a 95% confidence interval, the critical value of zα/2 is 1.96. Plugging in the values, we get a confidence interval of ($87.05, $92.95). This means that we can be 95% confident that the true mean monthly electric bill for all residents falls between $87.05 and $92.95.

In both cases, we can see that the confidence intervals are relatively narrow, which is a reflection of the large sample size and relatively small standard deviation of the sample. The larger the sample size and the smaller the standard deviation, the narrower the confidence interval will be.

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Answer:

1,3,1

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Got it right on Edge

The expression which is the result of subtracting the complex number (Z2-3i) from another complex number (Z1 + 2) is 9-2i.

To find the value of a complex number from the graph, follow the steps below.

The point Z1 is 3 units right and 4 units down from the origin point. Thus, the complex number which represent it is,

\(Z_1=3-4i\)

The point Z2 is 4 units left and 1 units up from the origin point. Thus, the complex number which represent it is,

\(Z_2=-4+1i\)

The expression which is the result of subtracting (Z2-3i) from (Z1 + 2) is,

\((Z_1 + 2)-(Z_2-3i)\\(3-4i + 2)-(-4+i-3i)\\3-4i + 2+4-i+3i\\9-2i\)

Hence, the expression which is the result of subtracting the complex number (Z2-3i) from another complex number (Z1 + 2) is 9-2i.

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When digitizing a recording of a musical performance, two strategies that will result in a more accurate digital representation of the original music are:

Increasing the sampling rate of the music being digitized: The sampling rate is the number of samples of the analog audio waveform taken per second. The higher the sampling rate, the higher the frequency range that can be captured, resulting in a more accurate representation of the original sound.

Increasing the bit depth of the music being digitized: The bit depth is the number of bits used to represent each sample of the audio waveform. The higher the bit depth, the greater the number of possible levels of amplitude that can be captured, leading to a more accurate representation of the original analog waveform and a clearer, more dynamic digital audio file.

Increasing the volume of the music being digitized and increasing the speed of the music that is being digitized do not necessarily result in a more accurate digital representation of the original music.

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Answer:

It should be 1. If y(x)= 4 then x should equal 1. This way we get 4=4 which is true.

Step-by-step explanation:

4x1 = 4, so if you substitute 1 for x in your equation you get 4.

Answer:

The inverse of this expression is the multiplication of 4. Answer: 4r, or 4 times r

Step-by-step explanation:

So first off, multiplication is the inverse of division, therefore, dividing r by 4 is the inverse of multiplying r by 4, so the answer is 4r.

The given problem states that the ratio of the number of tables to chairs in a restaurant is 4 : 9. After removing 2 tables and 4 chairs, the ratio becomes 7 : 16. After removing 2 tables and 4 chairs, there are 16 tables and 36 chairs left in the restaurant.

Let's assume the number of tables in the restaurant is represented by \($4x$\) and the number of chairs is represented by \($9x$\) (since the ratio is given as 4:9).

According to the given information, if 2 tables and 4 chairs are removed, the new ratio becomes 7:16. This can be represented as

\($\frac{{4x - 2}}{{9x - 4}} = \frac{7}{16}$\).

Cross-multiplying:

\(\[16(4x - 2) = 7(9x - 4)\]\)

Simplifying:

\(\[64x - 32 = 63x - 28\]\)

Subtracting \($63x$\) from both sides and adding 32 to both sides:

\($x = 4$\)

Now, we can find the number of tables and chairs left by substituting \($x = 4$\) them back into the initial representation:

The number of tables: \($4x = 4(4) = 16$\)

The number of chairs: \($9x = 9(4) = 36$\)

Therefore, there are 16 tables and 36 chairs left in the restaurant.

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Answer: The dependent variable is the Y axis of a graph, or the side of the graph that is vertical. The independent variable is the X axis of a graph, or the side of the graph that is horizontal. Domain is the input of a mathematical function, and the range is the output!

Hope this helps :)

range is the difference between the largest and smaller; “ To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.”

domain is the set of all possible x-values which will make the function able to work and will output real y-values. You must remember that in a function x can NEVER have more than one output (y)

“A independent variable is a variable (often denoted by x ) whose variation does not depend on that of another”. The independent variable is the variable the experimenter changes or controls and is assumed to have a direct effect on the dependent variable

“A dependent variable is a variable (often denoted by y ) whose value depends on that of another.” The dependent variable is the variable being tested and measured in an experiment, and is 'dependent' on the independent variable.

I hope that was understandable

Hello!

In the given figure we can see that it is a right angled triangle .

Where,

Base is 9

We have to find the value of x i.e Hypotenuse

Here we are given base and we need to find the Hypotenuse.

Also we have been given the value of theta = 45°

Using trigonometric ratio :

cos \(\theta = \dfrac{ B}{H} \)

As per the question we have hypotenuse = x

Plugging the required values,

\( \cos 45 \degree = \dfrac{9}{x} \)

\( \dfrac{1}{ \sqrt{2} } = \dfrac{9}{x} \: \: \: \: \bigg(\because \cos 45\degree = \dfrac{1}{\sqrt2} \bigg)\)

further solving by cross multiplication

\(x = 9 \sqrt{2} \)

Hence, The value of x is 9√2

Answer : Option 1

Hope it helps! :)

A regression model can only predict values that are lower or higher than the actual value. As a result, the only way to determine the model's accuracy is through residuals.

What is regression ?

Regression is a statistical technique used in the fields of finance, investing, and other disciplines that aims to establish the nature and strength of the relationship between a single dependent variable (often represented by Y) and a number of independent variables (known as independent variables).

The most popular variation of this method is linear regression, which is also known as simple regression or ordinary least squares (OLS).

Based on a line of best fit, linear regression determines the linear relationship between two variables.

The slope of a straight line used to represent linear regression thus indicates how changing one variable affects changing another..

In a linear regression connection, the value of one variable when the value of the other is zero is represented by the y-intercept. Regression without linearity.

Hence, A regression model can only predict values that are lower or higher than the actual value.

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Answer:

187 people

Step-by-step explanation:

5 to 6 is the same as 5/6. 5 is the men and 6 is the women. We know that there are 102 women so we can arrange this equation.

\(\frac{5}{6}\)  = \(\frac{x}{102}\)

Re-arrange the equation to find x, or the number of men in the company.

\(\frac{(102*5)}{6}\) = x

x = 82

We have found the number of men in the company. Now add the number of men and women.

102 + 82 = 187

187 total people!

Answer: 187 employees

Step-by-step explanation:

ratio of men to women: 5:6

number women working for company: 102

to work out the number of men working for the company, you must first find out what you have to multiply 6 by to get to 102

therefore you do 102/6 which is 17

now you do 17x5 to work out how many men are working for the company which is 85

total number of employees: 102+85=187

Answer:

3 degrees.

Step-by-step explanation:

-6 + 9 is 3, giving you were answer.

Answer: 3 degrees F

Step-by-step explanation:

-6+9=3

rise=positive or +