Mathematics, 15.02.2020 00:16, darrengresham999

In an experiment examining the effects Tai Chi on arthritis pain, Callahan (2010) selected a large sample of individuals with doctor-diagnosed arthritis. Half of the participants immediately began a Tai Chi course and the other half (the control group) waited 8 weeks before beginning. At the end of 8 weeks, the individuals who had experienced Tai Chi had less arthritis pain that those who had not participated in the course. a. Identify the independent variable for this study. b. What scale of measurement is used for the independent variable? c. Identify the dependent variable for this study. d. What scale of measurement is used for the dependent variable?

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answered: alexiannaa

a) Participants in Tai Chi course

b) Nominal

c) Magnitude of arthritis pain

d) Ordinal

Step-by-step explanation:

TYPES OF VARIABLES:

Independent Variable:

An independent variable is the one controlled or changed in an experiment to test the effects on the dependent variable. If this variable is changed, there shall be effects on the experiment.

In this case, number of participants in the course was independent.

Dependent Variable:

Dependent variable is the one being tested and measured. If the independent variable changes, this variable will show the effect of the changes.

The variables can be determined by their cause and effect on the experiment.

TYPES OF SCALES:

There are two variations in types of scales; Quantitative and Qualitative.

Qualitative variables are measured by either nominal or ordinal scale, while quantitative variables are measured by ratio or interval.

Nominal scale:

Nominal scales assign identifiers as labels to objects or classes of objects. The assigned numbers carry no additional meaning except as identifiers for example: patient A, patient B etc.

Ordinal scale:

Ordinal scales assign numbers to objects to rank an attribute. For example: Level of pain 1 - 10, Level of satisfaction etc.

Interval:

In an interval scale, numbers are assigned to objects such that the interval helps in interpretation of the variables. For example: age of patients: 30 - 40, 40 - 50 etc.

Ratio:

Ratio scales includes an absolute “zero” point. For example, Rate of arthritis in patients of a particular age etc.

answered: Guest

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12

answered: Guest

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq and the angle ∠orq are opposite, therefore:

$m\angle opq+m\angle orq=180\°\\\\m\angle opq+ (2x + 16)\°=180\°$