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nirvana33 [79]
3 years ago
9

Identify the response variable and whether the setting involves a single sample, a matched pairs, or two independent samples.

Mathematics
1 answer:
Helga [31]3 years ago
6 0

Answer:

1. single sample design

2. matched pairs

3. two independent samples.

Step-by-step explanation:

the response variable is known as the dependent variable, it is the variable that the researcher is interested i finding. the response variable is the x variable that responds to changes in the independent variable.

1.

In this question the researcher has only one sample that is the specimen. that is the reference specimen that she obtained. Therefore it is a single sample design.

the response variable here is the measurement of concentration.

2. In this question we have two pairs, men and women. The researcher is interested in comparing attitudes as she interviews them. so response variable is attitude or behavior

3. this is a 2 independent sample design. The researcher is using two different methods to test and their average is being compared.

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Triangle RST was transformed using the rule (x, y) → (–x, –y). The vertices of the triangles are shown.
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Triangle RST was transformed by using the rule (x,y) → (-x,-y) and the transformation is described by the transformation of 180° rotation about the origin.

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. Here we have transformed the triangle using the rotation method.

Rotation is the geometric transformation that revolves each point in a shape a predetermined number of degrees around that point. When the number of degrees is positive, the shape spins counterclockwise; when the number of degrees is negative, it rotates clockwise. The following is a broad description of how rotation about the origin can be transformed.

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Here the points change to R'(-1,-1) , S'(-3,-1) and T'(-1,-6).

A 180° rotation about the origin will be the transformation.

The triangles RST and R'S'T' are first plotted on a graph. The graph is provided for your reference below.

The original triangle RST, which was in quadrant 1, has changed to triangle R'S'T', which is in quadrant 3, as shown in the graph. The rotation around the origin is 180° from quadrant 1 to quadrant 3.

<em>Your question was incomplete. Please check below for full content.</em>

Triangle RST was transformed using the rule (x, y) → (–x, –y). The vertices of the triangles are shown.

R (1, 1)

S (3, 1)

T (1, 6) R' (–1, –1)

S' (–3, –1)

T' (–1, –6)

Which describes the transformation?

The transformation was a 90° rotation about origin.

The transformation was a 180° rotation about origin.

The transformation was a 270° rotation about origin.

The transformation was a 360° rotation about origin.

Learn more about "transformation of triangles" here-

brainly.com/question/8774174

#SPJ10

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2 years ago
A line through the points $(2, -9)$ and $(j, 17)$ is parallel to the line $2x + 3y = 21$. What is the value of $j$?
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Answer:

j=-37

Step-by-step explanation:

step 1

Find the slope of the given line

we have

2x+3y=21

Convert to slope intercept form

Isolate the variable y

subtract 2x both sides

3y=-2x+21

divide by 3 both sides

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The slope is

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step 2

we have the points

(2,-9) and (j,17)

Find the slope

The formula to calculate the slope between two points is equal to

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substitute

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Remember that

If two lines are parallel then their slope are equal

therefore

\frac{26}{j-2}=-\frac{2}{3}

26(3)=-2(j-2)\\78=-2j+4\\2j=4-78\\2j=-74\\j=-37

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