Answer: In observational study observer has no control on the variables but in an experiment experimenter has control over the independent variable to record the change on the dependent variable.
Step-by-step explanation:
In statistics , an observational study is a study in which a researcher just observe effects on subjects in a certain manner without interfering them.
On the other hand an experiment is a process which is done by experimenter to demonstrate a known fact or create a discovery by applying some methods to the variables .
The basic difference between an observational study and an experiment is<em> in observational study observer has no control on the variables but in an experiment experimenter has control over the independent variable to record the change on the dependent variable.</em>
We have that
cos(alfa)=0.2546
arc cos (0.2546)=75.2501---------- > 75.25°
the answer is 75.25°
Answer:

Step-by-step explanation:
The vertex form for a quadratic equation has the following form:

Where the vertice of the equation is the point (h, k)
To transform the equation
in its vertex forms we must find its vertex.
Be a quadratic equation of the form:

Where a, b and c are real numbers, then the vertex of the equation will be:

For the given equation:

Therefore the vertice is:

Now we substitute x = 6 into the equation and find the value of k.

Therefore the vertice is: (6, -16)
And the equation is:

Answer:
Slope <em>m</em> = 3/2
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define Equation</u>
3x - 2y - 6 = 0
<u>Step 2: Rewrite</u>
<em>Find slope-intercept form</em>
- Subtract 3x on both sides: -2y - 6 = -3x
- Add 6 on both sides: -2y = -3x + 6
- Divide -2 on both sides: y = 3/2x - 3
<u>Step 3: Break Function</u>
<em>Identify Parts.</em>
Slope <em>m</em> = 3/2
y-intercept <em>b</em> = -3