A researcher measures the relationship between the number of interruptions during a class and time spent "on task" (in minutes). Answer the following questions based on the results provided.
Number of
Interruptions Time Spent "On Task"
11 15
6 38
8 20
4 31
Part (a)
Compute the Pearson correlation coefficient. (Round your answer to three decimal places.)
Part (b)
Multiply each measurement of interruptions times 3 and recalculate the correlation coefficient. (Round your answer to three decimal places.)
Part (c)
Divide each measurement in half for time spent "on task" and recalculate the correlation coefficient. (Round your answer to three decimal places.)
Part (d)
True or false: Multiplying or dividing a positive constant by one set of scores (X or Y) does not change the correlation coefficient. Note: Use your answers in (a) to (c) to answer true or false.
TrueFalse

Answer: D) 10.4 kg of bleached flour, 6.8 kg of unbleached flour

Step-by-step explanation:

First find the cost of making a kg of Baking flour.

Assume that x kgs of bleached flour and y kgs of unbleached flour make a kg of Baking flour.

The formulas would be;

x + y = 1

5.75x + 1.45y = 4.05

x = 1 - y

5.75 ( 1 - y) + 1.45y = 4.05

5.75 - 5.75y + 1.45y = 4.05

5.75 - 4.3y = 4.05

4.3y = 5.75 - 4.05

4.3y = 1.7

y = 1.7/4.3

y = 0.395 kg

x = 1 - 0.395

= 0.605kg

To make 1kg of Baking flour, 0.605kg of bleached flour and 0.395kg of unbleached flour is required.

To make 17.2kg of Baking flour;

Bleached flour = 0.605 * 17.2 = 10.4kg

Unbleached flour = 0.395 * 17.2 = 6.8 kg

Answers:

A = 48

B = 88

C = 44

======================================================

Explanation:

The interior angles of any triangle always add up to 180 degrees.

A+B+C = 180

(48) + (x) + (x-44) = 180

2x+4 = 180

2x = 180-4

2x = 176

x = 176/2

x = 88

Therefore,

Check:

A+B+C = 48+88+44 = 180

The answers are confirmed.

Answer with step-by-step explanation

We know that, 

the sum of the interior angles of a triangle is 180°.

Accordingly,

\(\sf \: x + x -44+ 48= 180\)

Combine like terms.

\(\sf \: 2x + 4= 180\)

Subtract 4 from both sides.

\( \sf \: 2x = 180 - 4 \\ \sf2x = 176\)

Divide both sides by 2.

\(\sf \: x = 88\)

Therefore,

\( \angle B = x = 88 \degree \ \\ \angle \: A= 48 \degree \\ \angle \: C =x - 44 = 88 - 44 = 44 \degree \\ \)

Answer:

$4320

Step-by-step explanation:

12 divided by 2 is 6

720 x 6 = 4320

The standard error of the mean for a sample of size 8 and population mean 436 is equals to the 36.42.

The standard error of the mean, or usually say standard error, shows how different the population mean from a sample mean. We have a population with population mean, \(\mu\) = 436

Standard deviations for population, \( \sigma\) = 103

Sample size, n = 8

We have to determine the value of standard error of the mean. SEM is calculated simply as dividing the standard deviation by the square root of the sample size, n. Mathematically,

\(SE = \frac{ \sigma}{\sqrt n}\)

Substitues all known values in above formula, \(= \frac{ 103}{\sqrt 8}\)

= 36.42

Hence, required standard error value is 36.42.

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The total materials cost before sales tax is $297.21.

The total materials cost is the result of the addition of the total cost of posts, wire mesh, gate, and staples, as follows.

The length of the rectangular space = 6 meters

The width of the space = 10.5 meters'

The perimeter of the space = 33 meters [2(6 + 10.5)]

The space between posts = 1.5 meters

The number of posts = 22 (33 ÷ 1.5)

The cost per post = $2.69

a) The cost of the posts = $59.18 ($2.69 x 22)

The cost of wire mesh:

Cost per meter = $5.96

The number of meters of wire mesh = 33 meters

b) Total cost of the wire mesh = $196.68 ($5.96 x 33)

c) Cost of the gate = $25.39

Cost of Staples:

The number of staples per post = 7

The total number of staples required = 154 (22 x 7)

The number of boxes of staples = 4

The cost per box = $3.99

d) The total cost of staples = $15.96 (4 x $3.99)

The total cost of materials = $297.21 ($59.18 + $196.68 + $25.39 + $15.96)

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Practical difficulties such as undercoverage and nonresponse in a sample survey cause additional errors. These errors can affect the accuracy and representativeness of the survey results.

Undercoverage refers to when certain groups or individuals in the target population are not adequately represented in the sample. This can lead to biased estimates and inaccurate conclusions. Nonresponse occurs when selected participants choose not to respond to the survey, which can introduce bias and decrease the precision of the results.

To minimize these errors, researchers can use appropriate sampling techniques, employ effective survey design, and implement strategies to increase response rates. It is important to address these practical difficulties in order to obtain reliable and valid data in a sample survey.

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Answer:

Here is the answer hope it helps:)

The probability that the fullback stands to the right of the quarterback when the team huddles together at random depends on the assumption that all positions are equally likely and independent. It can be calculated as 1/2 or 50%.

In a random huddle, we assume that each position is equally likely and independent of the others. Since there are 11 players in total, there are 11 possible positions for each player.

To determine the probability that the fullback stands to the right of the quarterback, we consider that the fullback has 5 possible positions to choose from (to the right of the quarterback, as well as four positions to the left), while the quarterback has 10 possible positions to choose from (any position other than the fullback's position).

Therefore, the probability that the fullback stands to the right of the quarterback is given by:

P(fullback to the right of the quarterback) = (5 possible positions for the fullback) / (10 possible positions for the quarterback) = 5/10 = 1/2 = 0.5 = 50%.

Hence, if the team huddles together at random with each position equally likely and independent, the probability of the fullback standing to the right of the quarterback is 1/2 or 50%.

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Answer:

your answer is 11

Step-by-step explanation:

An exponential has the base at the bottom

Answer:

He picked a total of 52

Step-by-step explanation:

You would add 16 (red apples), then divide 1/2 from the 16 red apples, +28 green apples which would equal 52.

Answer:

B

Step-by-step explanation:

The parabola minimum is 3

The top quadratic minimum is 2 so

g(x) minimum is greater

The rate at which the area within the circle is increasing after t seconds: A'(t) = 2πr(t) * 10

Given that, a stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 10 cm/s and we need to find the rate at which the area within the circle is increasing.

We can assume that the radius of the circle at time t seconds is r(t).

The area A(t) of a circle with radius r(t) at time t is:

A(t) = πr²(t)

We are given that the radius of the circle is increasing at a rate of 10 cm/s.

So, we can write:

r'(t) = 10 cm/s

Differentiating both sides with respect to t, we get:

A'(t) = dA/dt = d/dt (πr²(t))

Now, we can use the chain rule of differentiation here.

Using the chain rule, we get:

A'(t) = dA/dt = dA/dr * dr/dt = 2πr(t) * r'(t)

Therefore, the rate at which the area within the circle is increasing after t seconds is:

A'(t) = 2πr(t) * r'(t)

Substituting r'(t) = 10, we get:

A'(t) = 2πr(t) * 10

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The expression that results in 45.37 is (int)(45.378 * 100) / 100.0.

To find which of the expressions results in 45.37, we need to evaluate each of them one by one.

Let's evaluate each expression one by one.

(int)(45.378 * 100) / 100 = (int)(4537.8) / 100

                                      = 45 / 100

                                      = 0.45(int)(45.378 * 100 / 100)

                                      = (int)(45.378)

                                      = 45(int)(45.378 * 100) / 100.0

                                      = (int)(4537.8) / 100.0

                                      = 45.0 / 100.0

                                      = 0.45(int)(45.378) * 100 / 100.0

                                      = 45 * 100 / 100.0

                                      = 4500.0 / 100.0

                                      = 45.0

Out of the given expressions, the expression that results in 45.37 is (int)(45.378 * 100) / 100.0.

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Answer:

45

Step-by-step explanation:

8-12(-3.5)-5

8+42-5

=45

Answer:

The surface area of the square pyramid with dimensions 17 ft x 9 ft x 17 ft is 595 square feet.

Step-by-step explanation:

To calculate the surface area of a square pyramid, we need to add the area of the base to the sum of the areas of the four triangular faces.

For a square pyramid with side length s and slant height l, the surface area can be calculated as follows:

Surface area = s^2 + 2sl

where s is the length of one side of the square base, and l is the slant height of the pyramid, which is the height of each of the four triangular faces.

In your case, the dimensions given are 17 ft for the base and 9 ft for the height, which is also the slant height. Therefore, we can calculate the surface area as:

Surface area = 17^2 + 2(17)(9)

Surface area = 289 + 306

Surface area = 595

Answer:

F. Isosceles

Step-by-step explanation:

The given triangle has two side lengths in equal measurement and so the two angles would be equal

Two similar figures have a ratio of areas 72:32. The ratio of similarity between the two figures is 3:2.

The ratio of areas of two similar figures is equal to the square of the ratio of their corresponding side lengths. Let's assume the ratio of side lengths is a:b.

Given: Ratio of areas = 72:32

The ratio of areas is the square of the ratio of side lengths. So, we have:

(a/b)^2 = 72/32

Simplifying the equation:

(a/b)^2 = 9/4

Taking the square root of both sides:

a/b = √(9/4)

a/b = 3/2

Hence, the ratio of side lengths of the two similar figures is 3:2.

Since similarity is based on corresponding side lengths, the ratio of similarity is the same as the ratio of side lengths. Therefore, the ratio of similarity between the two figures is 3:2.

This means that for every unit increase in the length of the corresponding side in the smaller figure, the corresponding side in the larger figure increases by 1.5 units.

In summary, the ratio of similarity between the two figures is 3:2, indicating that they are scaled versions of each other with the smaller figure being 3/2 times smaller in each dimension compared to the larger figure.

Hence, the ratio of similarity is 3:2.

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Answer:

Para encontrar el promedio de pares de zapatos que presentan algún desperfecto al día, necesitamos sumar todos los valores de pares con desperfectos en los 11 días y luego dividirlo entre los 11 días.

Suma de pares con desperfectos:

8 + 6 + 6 + 7 + 9 + 9 + 6 + 5 + 8 + 17 + 7 = 88

Promedio de pares con desperfectos por día:

88 / 11 = 8

Por lo tanto, el promedio de pares de zapatos que presentan algún desperfecto al día es de 8.

The average number of pairs of shoes with defects per day, based on the data provided, is 8 pairs.

To find the average number of pairs of shoes with defects per day based on the data provided, you can sum up the number of pairs with defects for each day and then divide by the number of days (which is 11 in this case).

Sum of pairs with defects = 8 + 6 + 6 + 7 + 9 + 9 + 6 + 5 + 8 + 17 + 7 = 88

Now, divide this sum by the number of days (1)

Average = Sum of pairs with defects / Number of days

Average = 88 / 11

Average = 8

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Answer:

  C.  142°

Step-by-step explanation:

You want the angle between vectors u=3i+√3j and v=-2i-5j.

There are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:

  u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest

You can find the angles of the vectors individually, and subtract those:

  u = |u|∠α

  v = |v|∠β

  θ = α - β

When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:

  \(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)

This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.

A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.

__

Additional comment

The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.

The dot-product relation will work with 3D vectors as well as 2D vectors.

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The shapes that matches the characteristics of this quadrilateral are;

A quadrilateral is a four-sided polygon, having four edges and four corners.

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles.

From the given diagram of the quadrilateral we can conclude the following;

The shapes that matches the characteristics of this quadrilateral are;

Rectangle

Rhombus

Square

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The exact distance between the planes, using radicals as needed, is d = 6√62 / 62.

To find the distance d between the two planes 6x + 5y + z = 54 and 6x + 5y + z = 48, we can use the formula for the distance between parallel planes:

d = |C1 - C2| / √(A^2 + B^2 + C^2)

where A, B, and C are the coefficients of the x, y, and z terms respectively, and C1 and C2 are the constants in the two equations.

In this case, A = 6, B = 5, C = 1, C1 = 54, and C2 = 48. Plugging these values into the formula, we get:

d = |54 - 48| / √(6^2 + 5^2 + 1^2)
d = 6 / √(36 + 25 + 1)
d = 6 / √62

So the distance between the two planes is d = 6/√62. You can simplify this expression by rationalizing the denominator:

d = (6/√62) * (√62/√62)
d = 6√62 / 62

Thus, the exact distance between the planes, using radicals as needed, is d = 6√62 / 62.

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Answer:

The answer is 77333844237.1

Step-by-step explanation:

Answer:

77333844237.1

Step-by-step explanation:

Hope this helps

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Answer:

1+4*y-1. simplified version :4y-3.

Step-by-step explanation: Also, I didn't know if you wanted it simplified.

The correct answer should be D.

The number of different paths from Point A to Point B is 20

From the question, we have the following parameters that can be used in our computation:

From the above parameters, we have the following subsets that can be used in our computation:

Horizontal paths = 3

Vertical paths = 3

So, the shortest movement is calculated as

shortest, n = Horizontal paths + Vertical paths

Substitute the known values in the above equation, so, we have the following representation

n = 3 + 3

Evaluate the sum

This gives

n = 6

The number of paths between the points is then calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 6 and r = Vertical paths = 3

Substitute the known values in the above equation

Total = ⁶C₃

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 6!/3!3!

Evaluate

Total = 20

Hence, the number of paths between the points is 20

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it is true that for a scalar-valued function f(x, y), it makes sense to talk about its maximum or minimum value. We can find these values by analyzing the critical points and their corresponding second partial derivatives.

True, for a scalar-valued function f(x, y), it makes sense to talk about its maximum or minimum value.
A scalar-valued function f(x, y) is a function that takes two inputs (x and y) and outputs a single value. These types of functions are often used to represent the relationship between two variables, such as the height of a surface above a plane, temperature distribution, or profit of a business depending on two factors.
To find the maximum or minimum value of a scalar-valued function f(x, y), we need to examine its critical points. Critical points are the points where the gradient of the function is either zero or undefined. The gradient is a vector consisting of the partial derivatives of the function with respect to x and y. We can calculate the partial derivatives (∂f/∂x and ∂f/∂y) and then set them equal to zero to find the critical points.
Once we have found the critical points, we can determine whether they correspond to a maximum, minimum, or saddle point (neither a maximum nor a minimum) by examining the second partial derivatives. The second partial derivatives help us determine the curvature of the function around the critical point. We can use the second partial derivative test, which involves calculating the determinant of the Hessian matrix (composed of the second partial derivatives) to classify the critical points.
In conclusion, it is true that for a scalar-valued function f(x, y), it makes sense to talk about its maximum or minimum value. We can find these values by analyzing the critical points and their corresponding second partial derivatives.

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Answer:

No, This is not necessary

Step-by-step explanation:

She is not correct because there are some number which on square have a result smaller than the actual number.

Let me make you more clear by the following example:

=> The number 0.5 on squaring becomes 0.25

And 0.25 is less than the actual number 0.5.

Step-by-step explanation:

The distance between two point (x_1, y_1) and (x_2, y_2) is

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Therefore, the distance between (-1,4) and (1,-1) is

\(d=\sqrt{(1-(-1))^2+(-1-4)^2}=\sqrt{4+25}=\sqrt{29}=5.4\)

Answer:

a rational number

Step-by-step explanation:

a rational number + a rational number will always be a rational number.