the train set was collected from 4 in-house datasets and 5 publicly available datasets. in-house datasets were collected from 4 different institutes: erasmus mc (emc), haaglanden medical center (hmc), amsterdam umc (aumc), and university medical center utrecht (umcu).

Based on the given information, it is not possible to determine the p-value, decision to reject (rh0) or failure to reject (frh0) without additional data or context.

To assess whether the relaxation exercise slowed brain waves, a statistical analysis should be conducted on a sample from the population.

The analysis would involve measuring brain waves before and after the exercise and comparing the results using appropriate statistical tests such as a t-test or ANOVA. The p-value would indicate the probability of observing the data if there was no effect, and the decision to reject or fail to reject the null hypothesis would depend on the predetermined significance level.

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Answer:

  -4/243

Step-by-step explanation:

Your calculator can do this.

You know that 3³ = 27 and (-3)³ = -27. You also know that 3² = 9, and that anything to the zero power is 1. With these facts, you can simplify the expression to ...

  \(\dfrac{\sqrt[3]{-27}-27^0}{3^3\times3^2}=\dfrac{-3-1}{27\times9}=\boxed{-\dfrac{4}{243}}\)

The correlation coefficient is approximately 0.995, indicating a strong positive correlation between x and y.

The equation of the least squares regression line is y = 4.45 + 5.21x

We have,

To find the correlation coefficient and the least squares regression line, we need to first calculate some values based on the given data:

x  y x²   y²                 xy

0 23 0   529          0

2 26 4   676         52

3 30 9   900         90

5 33 25   1089        165

7 36 49   1296        252

8 40 64   1600        320

10 43 100   1849        430

Σx=35

Σy=231

Σx²=251

Σy² = 7889

Σxy=1309

Now,

a)

The correlation coefficient can be calculated using the formula:

r = (nΣxy - ΣxΣy) / sqrt((nΣx^2 - (Σx)^2)(nΣy^2 - (Σy)^2))

where n is the number of data points.

Substituting the values.

r = (71309 - 35231) / sqrt((7251 - 35^2)(77889 - 231^2))

= 0.995

b)

The equation of the least squares regression line can be calculated using the formulas:

b = Σxy / Σx²

a = ȳ - bẋ

where b is the slope of the line, a is the y-intercept of the line, ẋ is the mean of x, and ȳ is the mean of y.

Substituting the values.

b = 1309 / 251 = 5.21

ẋ = Σx / n = 35 / 7 = 5

ȳ = Σy / n = 231 / 7 = 33

a = 33 - 5.21(5) = 4.45

Therefore,

The correlation coefficient is approximately 0.995, indicating a strong positive correlation between x and y.

The equation of the least squares regression line is y = 4.45 + 5.21x

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We want to find the distance around the outside wheel of the car given that we know its diameter. We will see that this distance is 94.2mm

So the distance around the outside edge of the wheel will be equal to its circumference.

We do know that for a circle of diameter D the circumference is defined as:

C = pi*D

Where pi = 3.14

Here we do know that the diameter is 30 mm, then the circumference of the wheel will be:

C = 3.14*30mm = 94.2 mm

This is the distance around the outside edge of the wheel.

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Answer:

m = -9/4

Step-by-step explanation:

Hope this helps!

Answer:

Please read explanations

Step-by-step explanation:

By direct calculations, we know that the nearest perfect square to 29 is 25

The next is 36;

Hence, since 29 is between 25 and 36; it is only proper that the square root of 29 is also between the square roots of both numbers

So, we can conclude that the square root is between 5 and 6

For actual values by calculating, we have this as 5.38 which to the nearest number is 5.4

so, we have the dot at the next 4 small lines after the number 5

The sequence Tn = an + b is an arithmetic sequence.

b represents the first term, and a represents the common difference

The general term is given as:

Tn = an + b

The above term is an arithmetic sequence.

An arithmetic sequence is represented as:

Tn = T1 + (n - 1)d

Where T1 represents the first term, and d represents the common difference

By comparing Tn = an + b and Tn = T1 + (n - 1)d, we have:

b = T1

a = d

This means that b represents the first term, and a represents the common difference

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Hello there. To solve this question, we'll have to remember some properties about trigonometric functions and the right triangle.

We want to find x such that:

We'll use the second right triangle to show what we want.

First, given a triangle:

We know that the hypotenuse will be:

But most importantly, the tangent of the angles α and β can be calculated by only using the legs of the triangle: it is the ratio between the opposite side and the adjacent side to an angle.

and

Now look at the triangle we have:

We can easily check that:

So it would be good to find something that relates the ratio between those two numbers: the tangent of 60º!!

Therefore, we have:

And the solution to x is:

The correct value of the inequality as solves is x > 14 , and the error made by the student was that he directly divided the RHS by 7.

To simplify the equation we will multiply 7 on both the sides.

Then we will get the result as 7x > 98

Thus, we can say that the new inequality will be x > 14 ,

Hence , the mistake made by the student was that he didn't divided both the sides by 7 but only one side.

So a result, he obtained the incorrect result x>2.

Inequality is a concept in mathematics and uses symbols such as > , < , <= , >= etc.

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Answer:

6). unknown side is 6.23m

7). angle is 26.58 degrees

Step-by-step explanation:

you must use the Pythagoras theorem formula to find the unknown side if you have only two sides

Answer:$7

Step-by-step explanation:

Answer:

they charge 6$ for 300 text messages.

Step-by-step explanation:

hope this helped! c:

Answer:

x = 114

Step-by-step explanation:

since the triangles are congruent then corresponding angles are congruent, then

∠ C = ∠ D , that is

x + 18 = 132 ( subtract 18 from both sides )

x = 114

Answer:

4 miles

Step-by-step explanation:

Answer:

4.5 miles

Step-by-step explanation:

18 miles 3 hours = 6 miles/hour

6 x (3/4) = 4.5 miles

Answer:

−

2

2

=

2

(

−

1

0

)

x-22={\color{#c92786}{2(x-10)}}

x−22=2(x−10)

−

2

2

=

2

−

2

0

Step-by-step explanation:

Answer:

x=-21

Step-by-step explanation:

first expand the brackets

-22=2x-20

then make x on its own

-42=2x

then dived by 2

-21=x

Answer:

B

Step-by-step explanation:

Answer:

c.

Step-by-step explanation:

but plsdoble check it

its not allowing me to send it. can i send somewhere else?

Step-by-step explanation:

If U and V are orthogonal then the magnitude of U times V will be U.V = 0 or |UxV| = uv.

U and V are two orthogonal vectors.

since the angle between them is θ = 90⁰

let u and v be the magnitudes of the vectors U and V respectively.

so first dot-product: If two non-zero vectors are orthogonal than the dot product of these vectors will be zero. Dot product of two vectors is expressed by:

U.V = uv cosθ

since these vectors are orthogonal so,

U.V = uv cos90⁰ = 0

And Cross-product: Magnitude Cross product of two orthogonal vectors will be equal to product of magnitude of these vectors.

|UxV| = uv sin θ

|UxV| = uv sin 90⁰ = uv

Therefore, U.V = 0, |UxV| = uv.

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-0.05 is the average rate of change in median age per year from 1930 to 1960.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given,  a data set that gives the median age of an American man at the time of his first marriage.

Year                             Median age

1910                              25.1

1920                             24.6

1930                             24.3

1940                             24.3

1950                             22.8

1960                             22.8

1970                             23.2

1980                             24.7

1990                             26.1

2000                             26.8

The average rate of change from 1930 to 1960 = (-24.3 + 22.8) / (1960-1930)

The average rate of change from 1930 to 1960 = -0.05

Therefore, the average rate of change in median age per year from 1930 to 1960 is -0.05.

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Answer:The distance between the points (3, 6) and (8, -1)

Step-by-step explanation:

Step-by-step explanation:

X = sin130° + cos130°

= sin50° - cos50°

= sin50° - sin40°.

sin50° is definitely greater than sin40°, therefore X > 0. (3)

The required arc length of sector VW is 8\(\pi\).

Given that, in a circle U, radius  UV = 9 and  central angle of sector m∠VUW = 160°.

To find the arc length of sector VW, we can use the formula:

Arc length = (central angle / 360) x circumference of the circle.

First,  find the circumference of the circle by the  formula for the circumference of a circle is given by:

Circumference = 2 x \(\pi\) x radius.

Circumference = 2 x \(\pi\) x 9 = 18π.

Now, let's find the arc length of sector VW using the central angle of 160 degrees:

Arc length = (160/360) x 18π

Arc length = (4/9) * 18\(\pi\) = 8\(\pi\).

Therefore, the arc length of sector VW is 8\(\pi\).

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The number of months that have passed since joining the gym can be calculated by subtracting the registration fee from the total amount paid and dividing the result by the monthly fee. This will give the number of months as the solution to the problem.

The problem provides information about a gym membership fee structure, where members pay a registration fee and a monthly fee. Given the total amount paid to the gym, we need to determine the number of months that have passed since joining.

To solve the problem, we can set up an equation using the given information. Let's denote the registration fee as 'R' and the monthly fee as 'M'. We know that the total amount paid to the gym is the sum of the registration fee and the product of the monthly fee and the number of months.

In the equation, we have the total amount paid, and we need to find the number of months. Rearranging the equation, we can isolate the number of months by subtracting the registration fee from the total amount paid and then dividing by the monthly fee.

By plugging in the given values of the total amount paid and the registration fee and monthly fee, we can calculate the number of months that have passed since joining the gym.

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Answer:
Area => 8.5m2

Step-by-step explanation:
Hope this helps! (=｀ω´=) x

Answer:

1. D

"n" represents the figure. For example, the equation for figure 3 would be \(\frac{3(3+1)}{2}\) which is equal to 6 (the amount of blocks in the figure).

2. D

In the sample equations, the 9 represents figure 9. There are consistently 3 blocks in each row with an additional block at the top of the figures. So, the equation for figure 4 would be 1+(3x4) which is equal to 13. Therefore, the equation for figure 9 would be 1+(3x9).

3. A

P represents the perimeter and the n represents the figure number (like in question 1). The correct equation for the pattern would be P=4n+8. To check it, we can plug the numbers from figure 2. The equation would look like this: 16=4(2)+8

4. B

To find the answer to this problem, we just have to work backwards. We must "divide a number by 5" so we start out with \(\frac{n}{5}\). "n" represents the number that we do not know yet. Then we must "add 4 to the result" so the equation will now look like this: \(\frac{n}{5} + 4\). The problem also states that the answer is 9. Now, the final equation looks like this: \(\frac{n}{5} + 4=9\).

If you need to, guess and check is a good way to complete multiple choice questions (until you're able to get help). I recommend asking your teacher for a more in depth explanation if you still don't understand.

Answer:

B)

Step-by-step explanation:

The main feature in a right triangle is that it has a right angle (90°)

Hope this helps

The correct order from best to worst of the sample groups is b→ a→ c.

The study conducted by the City Council of USA incorporates the reviewing for the funding for local sports-related activities.

There are 3 sample groups selected from the population of Anytown residents with an active interest in sports. They are:

a. High-school students at three different schools.

b. People randomly approached at a softball tournament, a swim meet, an athletic supply store, and a sports bar.

c. People randomly approached at a department store and at a shopping mall

All these groups are selected randomly.

But for (b), the people are obviously interested in sports activities, as they are selected from softball tournament, a swim meet, an athletic supply store, and a sports bar.

Next would be (a), because the students being younger is probably more interested in sports than elder ones.

The last would be the (c), people selected from the department store since they would be less aware of local- sports related activities.

So the order of samples from best to worst is b→ a→ c.

The question is incomplete. Find the complete question below:

The city council of Anytown, U.S.A., is reviewing the funding for local sports-related activities. To be better informed, it commissions a study. Order the sample groups, best to worst, based on how well they would represent the population of Anytown residents with an active interest in sports.

a. high-school students at three different schools

b. people randomly approached at a softball tournament, a swim meet, an athletic supply store, and a sports bar

c. people randomly approached at a department store and at a shopping mall

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Answer:

Undefined

Step-by-step explanation:

The Xs are the same!

Step-by-step explanation:

1/3*12=1/4

1/4=1/4

=1/4÷1/4

=0 answer