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.
Answer:
F(-1) = 1
x = 3
Step-by-step explanation:
1) Assume that f(-1) = y1
So that point A (x1 = -1; y1) is a point lying in the graph representing the equation y = f(x)
As it can be seen in the figure, the graph representing that equation crosses point (-1; 1)
=> Point A has y1 = 1
=> f (-1) =1
2) Assume that f(x2) = -2
So that point B (x2; y2 = -2) is a point on the graphy representing the equation y = f(x)
As indicated in the figure, the graph crosses point (3; -2)
=> Point B has x2 = 3
=> When f(x) = -2, x = 3
Yes the equation can be solved by factoring. Using the given equation take the square root of both sides. Both 169 and 9 are perfect squares so the left side becomes plus or minus 13/3 which is rational. Six plus 13/3 is also a rational number. If the solutions of a quadratic equation are rational then the equation is factorable. Please mark a good rating and brainlest
Answer:
2k-3k+5
Step-by-step explanation:
Answer:
OK, lets start by drawing a basic graph (the first one) so we can visualize.
We already know that the y coordinate of the circle's center is 
.
We know that the circle is tangent to the 
axis at 
That means the x coordinate of the center has to be 
, as the tangent is a point on the edge of the circle that touches a line at exactly one point.
The radius is the distance from the center of the circle to its edge. We know the center's location now, it is 
and a point on the edge of the circle (the tangent point) which is . so the distance between the points is 4 which is the radius (you can use the distance formula, but it's quite oblivious.)
We can imagine the circle should look like this (the second one):
Now we can piece together an equation
The equation of a circle is 
where 
is the center and 
is the radius. When we put the numbers in: we get 
which can be simplified into which is the answer.
Step-by-step explanation:
