which one do u need help with
The dimensions of the square base after cutting the corners will be (40-2x). The depth of the box will be x, so its volume is given by
V = x(40-2x)²
You can differentiate this to get
V' = 12x² -320x -1600
Setting this to zero and factoring gives
(3x-20)(x-20) = 0
The appropriate choice of solutions is
x = 20/3 = 6 2/3
The
dimensions of the box of maximum volume are
26 2/3 in square by 6 2/3 in deepThe
maximum volume is
(80/3 in)²(20/3 in) =
4740 20/27 in³
Answer:
a. correlation
b. inverse linear correlation exists If the higher the population of students lead to a decrease in test score,
c. yes
Step-by-step explanation:
a. Correlation is a measure of the amount of association existing between two variables.
b. For linear correlation, if points are plotted on a graph and all the points lie on a straight line, then perfect linear correlation is said to exist. When a straight line having a positive gradient can reasonably be drawn through points on a graph positive or direct linear correlation exists,
Similarly,when a straight line having a negative gradient can reasonably be drawn through points on a graph, negative or inverse linear correlation exists,
The results of this determination give values of r lying between +1 and −1, where +1 indicates perfect direct Positive linear correlation and −1 indicates perfect inverse correlation or Negative linear correlation and 0 indicates that no correlation exists.
If the higher the population of students lead to a decrease in test score, there will definitely be a negative correlation between class size and test score. i.e low class size result in high test score which consequently lead to high performance.
c. YES
A negative correlation means low class size result in high test score which consequently lead to better performance.
Ok so, when working to find if a fraction is equal to another you must know what it is cut down by. So 6 / 2 = 3. Now let's break down 7 by 2. It is 3.5 that is not four. So no 6/7 so not equal to 3/4.
