Answer:
b. The student's scores on the posttest would have a smaller standard deviation.
Step-by-step explanation:
The first test is taken before the material is covered in class so we expect the standard deviation to be high because not everyone's scores would be lying close to the mean. Equal number of students mastered most, some or almost none of the material from reading the textbook based on the pretest result. this means the data is varying, so the standard deviation is large.
Whereas, after the teacher has taught the material and given the homework, they must have understood most of the material. The test they take after teaching as a post test. The results of the post test would have a smaller standard deviation as most of the students would have scored good. Hence, the student's scores on the posttest would have a smaller standard deviation.
For this case we have that by definition, the area of a square is given by:

Where:
l: It's the side of the square
We have, according to the statement data, that:

Then, the area is given by:

By definition of power properties we have to:

So:

Answer:
The area of the square is: 
Answer: 
Step-by-step explanation:
First integrate f'(x) so we can find the funtion f(x):
![4\int\limits {x} \, dx =4[\frac{1}{2} x^2]=2x^2+C=f(x)](https://tex.z-dn.net/?f=4%5Cint%5Climits%20%7Bx%7D%20%5C%2C%20dx%20%3D4%5B%5Cfrac%7B1%7D%7B2%7D%20x%5E2%5D%3D2x%5E2%2BC%3Df%28x%29)
The initial conditions say that when x = 0, the function equals 5. Let's write that down:

Therefore, the integration constant 'C' must equal 5. This means that our function is:

Given:
A parabola opens up or down and its vertex is at the point (h, v).
To find:
The equation of the parabola.
Solution:
A parabola opens up or down. It means it is a vertical parabola.
The vertex form of a vertical parabola is
...(i)
Where, a is constant and (h,k) is vertex.
The vertex of given parabola is at point (h,v). Putting h=h and k=v in (i), we get

The required equation of the parabola is
.
Therefore, the correct option is A.
Answer:
the answer is 23. even tho it says he had 30 at the time you must subtract 7 because thats what he started with. hope i could help! :D
Step-by-step explanation: