Write an English phrase that would translate into the following mathematical expression.

Mathematics

1 answer:

Yuliya22 [10]2 years ago

6 0

Answer:

Step-by-step explanation:

5z - 7, you would say 5 times z minus 7, which is the same as 5 less than th product of 7 and a number z

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In an experiment examining the effects Tai Chi on arthritis pain, Callahan (2010) selected a large sample of individuals with do

Volgvan

Answer:

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.

4 0

3 years ago

Help if you can do this please

olga nikolaevna [1]

Answer:

Step-by-step explanation:

a. Since the parabola is compressed by a factor of 1/3 we can state:

a parabola is written this way : y=(x-h)²+k
h stands for the translation to the left ⇒ 2*3=6
k for the units down ⇒4*3=12

So the equation is : y=(x-6)²+12

b.Here the parabola is stretched by a factor of 2 so we must multiply by 1/2

We khow that a parabola is written this way : y=(x-h)²+k
(h,k) are the coordinates of the vertex
the maximum value is 7*0.5=3.5
we khow tha the derivative of a quadratic function is null in the maximum value
so let's derivate (x-h)²+k= x²+h²-2xh+k
f'(x)= 2x-2h h is 1 since the axe of simmetry is x=1
f'(x)=2x-2 ⇒2x-2=0⇒ x= 1
Now we khow that 1 is the point where the derivative is null
f(1)=3.5
3.5=(x-1)²+k
3.5= (1-1)²+k⇒ k=3.5

So the equation is : y=(x-1)²+3.5

the maximum height is where the derivative equals 0