Answer:
Attached below
Step-by-step explanation:
Hope this helped
There are twenty classes at each of two middle schools. The number of students in each class at each school is shown in the dot
plots below.
Number of Students in Each Class at Poplar Middle School
Number of Students in Each Class at Oak Middle School
Which statement correctly compares the mean number of students for the data in the plots?
There are about 2 more students in each class at Poplar Middle School than at Oak Middle School.
There are about 2 more students in each class at Oak Middle School than at Poplar Middle School.
There are about 5 more students in each class at Poplar Middle School than at Oak Middle School.
There are about 5 more students in each class at Oak Middle School than at Poplar Middle School.
Mark this and return
Number of Students in Each Class at Poplar Middle School
Number of Students in Each Class at Oak Middle School
Which statement correctly compares the mean number of students for the data in the plots?
There are about 2 more students in each class at Poplar Middle School than at Oak Middle School.
There are about 2 more students in each class at Oak Middle School than at Poplar Middle School.
There are about 5 more students in each class at Poplar Middle School than at Oak Middle School.
There are about 5 more students in each class at Oak Middle School than at Poplar Middle School.
Mark this and return
2 answers:
Answer:
There are about 2 more students in each class at Oak Middle School than at Poplar Middle School.
Step-by-step explanation:
The rest of the question is the attached figure.
It is required to compare between the mean number of students for the data in the plots.
The mean is sum of all data divided by the number of data.
The data set of Poplar Middle School:
20,20,20,21,21,21,21,21,22,22,22,22,22,22,22,23,23,23,23,24
So, The mean = 435/20 = 21.75
<u>The data set of Oak Middle School:</u>
20,21,21,22,22,23,23,23,23,24,24,24,25,25,26,26,27,27,28,29
So, The mean = 483/20 = 24.15
The difference in mean = 24.15 - 21.75 = 2.4
So, the correct statement is:
There are about 2 more students in each class at Oak Middle School than at Poplar Middle School.
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There is a thousand answer to this problem.
Let's do the simplest one here.
f(x) or y = x - 1
f(x) or y = x + 1
f(x) or y = -x
Wait, would this count as a solution? : See the second attachment
we know that
If the vertex is on the y-axis, then the x-coordinate of the vertex is equal to zero
we are going to verify the vertex of each one of the functions to determine the solution
Remember that
The equation in vertex form of a vertical parabola is equal to
where
(h,k) is the vertex
if -------> the parabola open upward (vertex is a minimum)
if -------> the parabola open downward (vertex is a maximun)
<u>case A)</u>
This is a vertical parabola open upward
the vertex is the point
therefore
The function does not have a vertex on the y-axis
<u>case B)</u>
convert to vertex form
Complete the square. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
the vertex is the point
therefore
The function does not have a vertex on the y-axis
<u>case C)</u>
the vertex is the point
The x-coordinate of the vertex is equal to zero
therefore
The function has a vertex on the y-axis
<u>case D)</u>
convert to vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
the vertex is the point
therefore
The function does not have a vertex on the y-axis
<u>the answer is</u>