this difference in scale distorts the true distance between observations and can lead to inaccurate results.it is common, therefore, to make the observations unit-free. how is this accomplished?

Answer:

x>50

Step-by-step explanation:

x-35>15

+35  +35  (Add 35 to both sides)

     x>50

Answer:

x > 50

Step-by-step explanation:

You need to get rid of the 35 to isolate x by adding it to both sides. Once x is on its own, the solution will be x > 50.

Answer:

Step by Step Explanation:

Answer:

             \(x=4\\\\EG=9\\\\ED=18\)

Step-by-step explanation:

\(\dfrac{x+5+9}{x+5}=\dfrac{12}{6}\\\\\dfrac{x+14}{x+5}=2\\\\x+14=2(x+5)\\\\x+14=2x+10\\\\14-10=2x-x\\\\x=4\\\\EG=4+5=9\\\\ED=9+9=18\)

Answer:

9

Step-by-step explanation:

There are nine angles in a nonagon.

One possible solution that could be used to address the problems caused by the Electoral College is "electoral reform."

Popular Vote: One approach is to replace the Electoral College with a system where the President is directly elected by a popular vote. This would eliminate the possibility of a candidate winning the presidency while losing the popular vote, as has happened in some elections.

Proportional Representation: Another option is to implement a proportional representation system, where the allocation of electors is based on the percentage of votes a candidate or party receives in each state. This would ensure a more proportional representation of voters' preferences and reduce the influence of winner-takes-all mechanisms.

National Popular Vote Interstate Compact: This reform proposal aims to work within the existing Electoral College framework. States that join the compact agree to allocate their electoral votes to the winner of the national popular vote, effectively ensuring that the candidate who receives the most votes nationwide becomes the President.

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:

fyubwagcduysrewucf ac VYRVYVFYEVEY FGVEGOWFVGEWVdyVWUVyigygdgvfvgfvew fbqy vwfyv

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. High multicollinearity, which refers to a high degree of correlation between independent variables in a regression model, can be indicated by correlation coefficients close to 1 or -1. Therefore, the correlation coefficient value of -0.80 suggests high multicollinearity.

The correlation coefficient (r) ranges from -1 to +1. A value of +1 indicates a perfect positive linear relationship, -1 indicates a perfect negative linear relationship, and 0 indicates no linear relationship between the variables.

In the given options, the correlation coefficient value of -0.80 suggests a strong negative linear relationship between the two variables. This value indicates a high degree of correlation, which can be indicative of multicollinearity when considering multiple independent variables in a regression model.

On the other hand, the correlation coefficient values of 0.59, 0.62, and -0.20 suggest moderate to weak linear relationships between the variables, which may not indicate high multicollinearity.

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(a)The class width = 3

(b) The class midpoint of the first class = 51

(c) The class boundaries of the first class =  (49.5, 52.5)

Consider the frequency distribution in the following image.

We know that in  frequency distribution the class width is nothing but the distance between the lower limits of consecutive classes.

Whereas the range is the difference between the maximum and minimum data entries.

The smallest number is 50, and the largest is 62.

So the range is 62 - 50 = 12

We know that the formula for the class width:

Class width= upper limit – lower limit +1

So, the class width = 52 - 50 + 1

                               = 3

The formula for the midpoint of each class:

midpoint = (lower limit of class + upper limit of class)/2

Let us assume that m be the midpoint of the first class.

Using above formula of midpoint:

m = (50 + 52)/2

m = 51

We know that the class boundaries are nothing but the end points of an open interval which contains the class interval.

So, the class boundaries of the first class = (49.5, 52.5)

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True. In a pairwise scatter plot matrix, each scatterplot represents the relationship between two variables.

Since the scatterplot between variable X and variable Y is the same as the scatterplot between variable Y and variable X, the matrix is perfectly symmetric.

The scatterplot at the lower-left corner is indeed identical to the one at the upper-right corner. This symmetry is a result of the fact that the relationship between X and Y is the same as the relationship between Y and X.

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Answer:

SSS

Step-by-step explanation:

Answer:

52.7834

Step-by-step explanation:

Answer:

The scientific notation is  2.622 × 10^14

Step-by-step explanation:

Answer:

6n-5

Step-by-step explanation:

Some different types of sequences

To find sequence patterns, often the sequences are arithmetic (adding by a constant amount) or geometric (multiplying by a constant amount).  

To test if something is a geometric sequence, find the quotient of (divide) adjacent terms.

To test if something is an arithmetic sequence, find the difference of (subtract) adjacent terms.

Finding the type of our sequence

Note the following:

19-13=6

13-7=6

7-1=6

So, to get each next term, add 6.  However, what is the nth term?

Finding an expression for our sequence

You'll be adding up "n" sixes to get there (expressed with multiplication, because multiplication is shorthand for repeated addition), but we need a starting point so that when n=1, the expression equals 1, and when n=2, the expression equals 7... and so on.  This starting point shifts the "6n" piece of our expression so that it lines up on the sequence.  I'm going to call this starting point "b" for the base that is supporting this sequence.

So the expression will look something like \(6n+b\)

Knowing that the expression needs to equal 1 when n=1, we can set up an equation and solve for "b".

\(6n+b=n^{\text{th}} \text{ term}\\6(1)+b=(1)\\6+b=1\\(6+b)-6=(1)-6\\b=-5\)

So, the expression for the nth term of the sequence is \(6n-5\)

Verifying

To verify that the expression we found is right, we can test our expression for each of the terms we do know:

The first term (n=1) is 1

\(6n+b=n^{\text{th}} \text{ term}\\\)

\(6(1)-5 \overset{?}{=} (1)\)

\(6-5 \overset{?}{=} 1\)

\(1 \overset{\checkmark}{=} 1\)

The second term (n=2) is 7

\(6n+b=n^{\text{th}} \text{ term}\\\)

\(6(2)-5 \overset{?}{=} (7)\)

\(12-5 \overset{?}{=} 7\)

\(7 \overset{\checkmark}{=} 7\)

The third term (n=3) is 13

\(6n+b=n^{\text{th}} \text{ term}\\\)

\(6(3)-5 \overset{?}{=} (13)\)

\(18-5 \overset{?}{=} 13\)

\(13 \overset{\checkmark}{=} 13\)

The fourth term (n=4) is 19

\(6n+b=n^{\text{th}} \text{ term}\\\)

\(6(4)-5 \overset{?}{=} (19)\)

\(24-5 \overset{?}{=} 19\)

\(19 \overset{\checkmark}{=} 19\)

Answer:

The answer is the blue dot

Step-by-step explanation:

You should remember that the x goes first in (x,y).

The graph of the equation 7x² + 3 = y² is symmetric with respect to B. X-axis and y-axis only.

To test for symmetry with respect to the x-axis, y-axis, and the origin, we need to check if replacing 'x' with '-x', 'y' with '-y', or both leaves the equation unchanged.

For the given equation, when we replace 'x' with '-x', the equation becomes 7(-x)² + 3 = y², which simplifies to 7x² + 3 = y². This indicates that the equation remains the same, so the graph is symmetric with respect to the y-axis.

When we replace 'y' with '-y', the equation becomes 7x² + 3 = (-y)², which simplifies to 7x² + 3 = y². Again, the equation remains the same, indicating symmetry with respect to the origin.

However, when we replace both 'x' with '-x' and 'y' with '-y', the equation becomes 7(-x)² + 3 = (-y)², which simplifies to 7x² + 3 = y². Here, the equation does not remain the same, indicating that the graph is not symmetric with respect to the x-axis.

To visually verify these symmetries, one can use a graphing calculator to plot the graph of the equation. The graph will exhibit symmetry with respect to the y-axis and the origin, but not with respect to the x-axis. Therefore, the correct answer is B. X-axis and y-axis only.

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Answer:

√63 can be written as

√ 9 × 7 = √ 9 × √7 = 3 × √ 7

= 3√7

Hope this helps you

Answer: \(3\sqrt{7}\)

Step-by-step explanation:

Separate \(\sqrt{63}\) into \(\sqrt{7}\) and \(\sqrt{9}\).  Then simplify \(\sqrt{9}\) into 3.  Thus, the simplified version of \(\sqrt{63}\) is \(3\sqrt{7}\)

270 mins - 10 laps

xmins -5 laps

(cross multiply)

270*5=10x

10x=1350

x= 1350/10

x=135 mins

i don't know the answer

Answer:

-3 - 10m = c

Step-by-step explanation:

y=mx+c ( Equation of straight line )

y = mx + c

-3 = m(10) + c

-3 = 10m + c

-3 - 10m = c

Step-by-step explanation:

V epual to L x W x H

9.6cm x 0.8cm

9.6

x 0.8

46

Answer:

12 cm

Step-by-step explanation:

\(v_{eraser} = area \: of \: base \times height \\ \\ \therefore \: area \: of \: base = \frac{v_{eraser}}{height} \\ \\ = \frac{9.6}{0.8} \\ \\ = 12 \: cm\)

By using t distribution, it can be calculated that

b) Degree of freedom is 65

c) P value of 2.115 at 65 degrees of freedom = 0.0383

What is t-distribution?

t - distribution is used to find the distance between two sample means if the population standard deviation is unknown and it is assumed that the observation comes from a normally distributed population.

b) Here,

Degree of freedom =

\(=\frac{(\frac{s_1^2}{n_1} + \frac{s_1^2}{n_2})^2}{\frac{s_1^4}{n_1^2(n_1 -1)} + {\frac{s_2^4}{n_2^2(n_2 -1)}}}\\\\=\frac{(\frac{5.3^2}{35} + \frac{8.8^2}{40})^2}{\frac{5.5^4}{35^2(35 -1)} + {\frac{8.8^4}{40^2(40 -1)}}}\)

=  65

c) The value of test statistic obtained is 2.115

P value of 2.115 at 65 degree of freedom = 0.0383

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Complete Question

The complete question has been attached

Answer:

\(y = x - 91 + 2 \\ x = - 10 \\ y = - 10 - 91 + 2 \\ y = - 101 + 2 \\ x = - 99\)

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

0.11428571428

Step-by-step explanation:

4 / 5 / 7 = 0.11428571428

4/5 = 0.8

0.8 ÷ 7 = 44/35

The sum of squares of the residuals (SSR) is 3.25.

To answer part 2 of the question, we need to find the sum of squares of the residuals.

The residuals are the differences between the observed values of the dependent variable (y) and the predicted values obtained from the regression model.

In this case, the residuals are given as: 0.2, 0.3, -0.8, -0.8, -0.3, 0.4, 0.1, -0.1, -0.4, -0.7, 0.6, -0.1, -0.1, 0.3, 0.

To calculate the sum of squares of the residuals (SSR), we square each residual value and sum them up.

\(SSR = (0.2^2) + (0.3^2) + (-0.8^2) + (-0.8^2) + (-0.3^2) + (0.4^2) + (0.1^2) + (-0.1^2) + (-0.4^2) + (-0.7^2) + (0.6^2) + (-0.1^2) + (-0.1^2) + (0.3^2) + (0^2)\)

SSR = 0.04 + 0.09 + 0.64 + 0.64 + 0.09 + 0.16 + 0.01 + 0.01 + 0.16 + 0.49 + 0.36 + 0.01 + 0.01 + 0.09 + 0

SSR = 3.25.

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Answer: Assuming the 5.2 units are the radius of the sphere, then its surface area is:

surface_area_sphere = 4πr² = 4 × π × (5.2 units)² = 108.16π units² ≈ 339.8 units²

Step-by-step explanation:

Answer:

L= 16 m

W= 12 m

Step-by-step explanation:

let us define the parameters of the parallelogram

let the length be L

and the width be W

given that the W= L-4

perimeter= 72 meters

We know that the perimeter of a parallelogram is given as

\(P=2L + 2W\)

Substituting W= L-4 for W we have

\(72=2L + 2(L-4)\\\\72= 2L+2L-8 \\\\72= 4L-8\\\\4L= 72-8\\\\4L= 64\)

Divide both sides by 4 we have

\(L= 64/4\\\\L= 16 m\)

From w= L-4 we can find w by setting L= 16

W= 16-4

W= 12 m