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The independent variable caused changes in the dependent variable, then the Pearson’s Correlation Coefficient must be close to either +1 or -1

In order to determine if changes in an independent variable cause changes in a dependent variable, the researcher must use a measure of correlation. The most commonly used measure of correlation is Pearson’s Correlation Coefficient (r). This coefficient measures the strength and direction of the linear relationship between two variables. It can range from -1 to +1 and can be calculated using the formula r = (Σxy) / (√Σx2 * √Σy2).

The value of r indicates the strength of the relationship between two variables. A value of 0 indicates no correlation, a value of 1 indicates a perfect positive correlation, and a value of -1 indicates a perfect negative correlation. The closer the coefficient is to +1 or -1, the more confident the researcher can be that changes in the independent variable caused changes in the dependent variable. If the researcher is very confident that changes in the independent variable caused changes in the dependent variable, then the Pearson’s Correlation Coefficient must be close to either +1 or -1.

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compete question:

What is Pearson's Correlation Coefficient and how is it used to measure the strength of the relationship between two variables?

Answer:

1/13

Step-by-step explanation:

There are 52 cards in a deck, there are 4 suits and a king in each suit.

That makes 4 kings in a deck of cards.

P(king) = number of kings/ total cards

           = 4/52 = 1/13

Answer:

1/13

Step-by-step explanation:

in 52 cards there was 4king

so ＝4/52

simplify ＝1/13

The size of the angle YZX is 19.7 degrees.

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, let's find the angle YZX in the right triangle as follows:

Hence using trigonometric ratios,

sin ∠Z = opposite / hypotenuse

sin ∠Z = 7.5 / 22.3

sin ∠Z = 0.33632286995

∠Z = sin⁻¹ 0.33632286995

∠Z = 19.6530010139

Therefore,

∠YZX = 19.7 degrees.

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The number of bacteria that represents y at the end of x days will be [tex]y=(500)(2)^{x}[/tex]

As per the given data on the day 0, there are 500 bacteria in a dish.

The number of bacteria that doubles every day after that.

Here we have to determine that how many bacteria which represent y are there after x number of days.

Therefore, the number of bacteria after every day will form a geometric progression (G.P) with the first term as a = 500 and the common ratio as r = 2

Therefore [tex]\mathrm{a}_3=\mathrm{ar}^2=(500)(2)^2=2000[/tex]

Therefore, the number of bacteria at the end of 2nd day will be 480

[tex]$a_5=a^4=(500)(2)^4=8000[/tex]

And [tex]$\mathrm{a}_{\mathrm{n}+1}=\mathrm{ar}^{\mathrm{n}}[/tex]

[tex]$\mathrm{a}_{\mathrm{n}+1}[/tex] represents y and n represents x

[tex]y=(500)(2)^{\mathrm{x}}[/tex]

Thus the number of bacteria at the end of x days will be [tex](500)(2)^{x}$=y[/tex]

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The anchor dropped at a rate of  -1.8 meters per second.

The time it took to reach the water's surface is given as follows:

30 seconds.

The relation between velocity, distance and time states that the velocity is obtained by the quotient of the distance by the time, as follows:

v = d/t.

In which the parameters are given as follows:

The anchor fell 63 meters in 35 seconds, hence the velocity is given as follows:

v = -63/35

v = -1.8 meters per second. (negative means that it is a drop).

The time needed to fall down 54 meters an reach the water's surface is given as follows:

1.8 = 54/t

t = 54/1.8

t = 30 seconds.

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A 95% confidence interval is wider than a 90% confidence interval and so provides a better estimate of the population mean.

A confidence interval represents the range of values within which the population mean is estimated to lie with a certain degree of confidence. The wider the interval, the more certain we can be that the population mean lies within it. In other words, a 95% confidence interval provides a better estimate of the population mean than a 90% interval because it is wider and therefore more likely to contain the true population mean.

This increased accuracy is particularly important for the city in their budget planning as it allows them to make more informed decisions based on a more reliable estimate of their expected daily income from parking fees.

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Answer:

so your telling me that you need the answer to a question? how about you answer my queston first. how much wood could a wood chuck chuck if a wood chuck could chuck wood?

Step-by-step explanation:

ANSWER IT RN.

The angle of rotation if an image is the result of a composition of two reflections across perpendicular lines is 180 degrees

Rotation and reflection are forms of transformation as seen in mathematics. The two are related in some forms.

here, we have,

When a reflection is done on a plane perpendicular to the preimage the image is reflected at the perpendicular plane. This is equal to rotation of an angle 90 degrees.

When the reflection is continued again across the perpendicular line, another reflection is noticed and similar rotation however in this case with respect to the initial image, the rotation is now 180 degrees.

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The radius of the circle is 20/π units or approximately 6.37 units.

To find the radius of the circle given its central angle and arc length, we can use the formula:

arc length = radius * central angle

In this case, we have:

arc length = 4 units

central angle = 144°

Plugging these values into the formula, we get:

4 units = radius * 144°

To solve for the radius, we need to convert the angle from degrees to radians, as the formula requires the angle to be in radians.

1 radian = 180°/π

So, 144° = (144/180) * π radians

Simplifying, we have:

144° = (4/5) * π radians

Now we can rewrite the formula using radians:

4 units = radius * (4/5) * π radians

Solving for the radius, we divide both sides of the equation by (4/5) * π:

radius = (4 units) / ((4/5) * π)

Simplifying further, we can multiply the numerator and denominator by 5 to cancel out the fraction:

radius = (20 units) / π

Thus, the radius of the circle is 20/π units or approximately 6.37 units.

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Answer:

Mohamed: 8 objectives

Zayed: 6 objectives

to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below.

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{3}-\stackrel{y1}{(-5)}}}{\underset{\textit{\large run}} {\underset{x_2}{4}-\underset{x_1}{(-2)}}} \implies \cfrac{3 +5}{4 +2} \implies \cfrac{ 8 }{ 6 } \implies \cfrac{4 }{ 3 }[/tex]

Therefore , the solution of the given problem of linear equation  comes out to be 683 = 211 + 63x option c is correct.

A straightforward regression curve is created using the equation y=mx+b. The y-intercept is m, and the slope is B. The previous sentence is usually referred regarded as a "mathematical formula integrating multiple variables," even though y or y are different parts. Only two variables are present in bivariate linear equations. There are no known solutions to application issues involving linear equations. Y=mx+b.

Here,

Distance already traveled by Ed 211 miles

Also, Ed is driving at a rate of 63 miles per hour.

Distance  Speed × Time

Distance traveled by Ed in x hours = 63x

Total distance traveled by Ed= 211  + 63x

Also, total distance traveled by Ed is 638  miles.

Therefore,

=> 683 = 211 + 63x

or

x =7.49

Thus , option c is correct.

Therefore , the solution of the given problem of linear equation  comes out to be 683 = 211 + 63x option c is correct.

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The complete question is "Ed is on a road trip. He has already traveled 211 miles and is driving at a rate of 63 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 638 total miles? A. 211x + 638 = 63 B. 211x + 63 = 638 C. 63x + 211 = 638 D. 63x + 638 = 211"

Answer:

A

Step-by-step explanation:

The answers you have are in (x, y) form

Looking at first answer, -3 is the x and -1/2 is the y. We plug in the -3 as the x in each equation and hope to get -1/2.

So for (-3, -1/2)

y = 1/2(-3) + 1 = -3/2 + 1 = -1/2

Now the other equation

y = 3/2(-3) + 4 = -9/2 + 4 = -1/2

Since we got -1/2 as both. which is also the Y coordinate, this must be the answer. If it wasn't, we could keep going through the answer choices doing the same method.

The equation for the total cost is y = 2x + 20

Since we are to multiply the number of kites by 2 and add 20 to get the cost at Windy kites.

The table can be filled as follows:

Kite purchased       Tota cost

4                               (2*4) + 20 = 28

7                               (2*7) + 20 = 34

10                              (2*10) + 20 = 30

The equation for the total cost can be written as:

y = 2x + 20

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The area of the triangle is 12 inches squared.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

From the figure,

Base = 8 in

Height = 3 in

Now,

Area = 1/2 x base x height

Area = 1/2 x 8 x 3

Area = 12 in²

Thus,

12 inches squared is the area of the triangle.

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Therefore , the solution of the given problem of unitary method comes out to be $2 for one necklace is constant of proportionality of this relationship.

After determining the size of a small slice, multiply the quantity by two to complete a task using the unitary technique. The simple expression-based unit variable technique aids in separating a coded item from a given group or collection of groups. 40 pens, for instance, would cost 400 Rs (or $1.01 or 400 pounds). It's possible that one country will have total control over the method employed to do this.

Here,

Given :

Necklaces 9 10 11 12

Cost ($) 18 20 22 24

Cost of one necklace = 18/9 =2

$2 for one necklace.

Therefore , the solution of the given problem of unitary method comes out to be $2 for one necklace is constant of proportionality of this relationship.

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The two statements that are true are that the two histograms have different ranges of data and different distributions of data.

The first statement that is true is that the two histograms have different ranges of data. To calculate the difference in range, you can use the formula Range = Maximum - Minimum, where Maximum is the largest value in the sample, and Minimum is the smallest value in the sample. This means that if the maximum value of the first histogram is, say, 10 and the minimum value of the second histogram is 15, the difference in range between the two histograms is 5. The second statement that is true is that the two histograms have different distributions of data. This can be determined by looking at the shape of the histograms. For example, if the first histogram is clustered around a certain range of values, while the second histogram is more evenly distributed, this would indicate two different distributions.

So, in summary, the two statements that are true are that the two histograms have different ranges of data and different distributions of data.

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Answer:

23e+3

Step-by-step explanation:

Answer:

Step-by-step explanation:

let the unit place digit be x and tens place digit be y, therefore, the original number is 15.

then the two-digit number will be  10y + x

and the number formed by interchanging the unit place and tens place digits will be 10x + y

according to the first condition given in the qs i.e, the sum of two digits in the number is 6 that  is

x + y = 6

Also given that, if the original number is subtracted from the number formed by interchanging the digits, the result is 36.

i.e 10y +x - 10x -y = 36

     9(y-x) = 36

 y-x = 36/9

y-x = 4  and x+y = 6

solving both the above equations we will get ,

x= 1  and y = 5

since original number is 10y + x = 10(1) + 5

therefore, the original number is 15.

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Answer:2 tablespoons of milk

Step-by-step explanation:

If nolan divides 6 by 2 he gets 3 cups of shredded cheese and to get the same results he would have to divide the milk portion too. 4/2 is 2 so he would need 2 tablespoons of milk.

According to the information, the correct way to graph this sequence is by putting the numbers 1, 2, 3, 4 as x coordinates... Then the coordinates would be (1,12), (2,6), (3,3 ) and (4,1).

To graph the sequence we must establish an additional coordinate for each of the values. In this case we can put the value of 1, 2, 3, 4...

According to the above, the coordinates would be as follows:

Additionally, this graph would be a geometric sequence because it expresses values that are decreasing and is not a constant.

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Answer:

40.14

Step-by-step explanation:

Answer: 40.14

Step-by-step explanation:

40.14

The measure of the angle is 54 degrees.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Let the measure of the angle "x".

The complement of the angle is 90 - x.

The supplement of the complement is 180 - (90 - x) = 90 + x.

The supplement of the angle is 36 less than the supplement of the complement of the angle, so 90 + x - 36 = x.

90 + x - 36 = x

54 = x

So the measure of the angle is 54 degrees.

Hence, the measure of the angle is 54 degrees.

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Answer:

166 1/2 in²

Step-by-step explanation:

The area of the quilt block= area of rectangel ABCD + area of right angled triangle AEF

=length*breath + 1/2*base* height

=16*9+1/2*6*7.5

=166.5 which also means 166 1/2 in²

The value of 'x' in the ratio 14 : 5 : 11 is 6.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the sum of all the interior angles in a triangle is 180°.

Given, The angles are in the ratio 14 : 5 : 11.

Let, 'x' be the ratio multiplier.

Therefore, 14x + 5x + 11x = 180.

30x = 180.

x = 180/30.

x = 6.

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The required round of 7 /14 to the nearest 1/4 is itself 7 1/4.

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

Here,

7 1/4 rounded to the nearest 1/4 hour is 7 1/4. Rounding to the nearest 1/4 hour means finding the closest 1/4 hour mark, which in this case is 7 1/4 itself.

Thus, the required round of 7 /14 to nearest 1/4 is itself 7 1/4.

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Answer:

The original data set would be:

57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105

So to find the range you would do:

105 - 57 which equals 48.

So the range for the original data set would be 48.

The new data set adding 80.8:

57, 58, 61, 66, 71, 77, 80.8, 82, 91, 95, 100, 102, 105

So to find the range for the new data set you would do:

105 - 57 which would still equal 48.

So the range for the new data set would be 48.

The range for the original and new data set stayed the same.

Step-by-step explanation:

You're welcome.

Answer:

The original data set would be:57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105So to find the range you would do:105 - 57 which equals 48.So the range for the original data set would be 48.The new data set adding 80.8:57, 58, 61, 66, 71, 77, 80.8, 82, 91, 95, 100, 102, 105So to find the range for the new data set you would do:105 - 57 which would still equal 48.So the range for the new data set would be 48.The range for the original and new data set stayed the same.

Step-by-step explanation: hi everybodyyy!!

7 test scores are 85 or greater according to the given scenario.

The third quartile (Q3) is a measure of central tendency that represents the value separating the lower 75% of a dataset from the upper 25%. In this case, the third quartile has a value of 85, meaning that 75% of the test scores are 85 or lower.

Since there are 30 exams in total, 30 x 0.75 = 22.5 exams have scores of 85 or lower. To find the number of exams with scores of 85 or greater, we subtract the number of exams with scores of 85 or lower from the total number of exams, which is 30 - 22.5 = 7. This means that 7 exams have scores of 85 or greater.

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