Answer:
A. The data set would have a linear association.
C. The data set would have a positive correlation.
E. Every student earns 16 more points for each additional hour they study.
F. Students that study more tend to earn better grades on the test.
Step-by-step explanation:
Since in the question it is mentioned that the teacher obtained data with regard to the number of hours that students spent for their test and on their results. She found that on an average for each 30 minutes studied, the graded would rise by 8 points
Now this kind of relationship represents the linear association, positive correlation and study more earn better
Therefore the above three statements are true
Answer:
That looks like a carrot I believe it’s a carrot so circle carrot
Step-by-step explanation:
Expand it so the expression would equal
5x^2+11x+2=-1
move the negative one over by adding one to both sides
5x^2+11x+3=0
then do the quadratic formula
x=-b+/- (√(b^2-4ac))/2a
where b = 11 a=5 and c=3
Answer:
12 a. 4605 feet 12 b. 1,459,063 square feet
Step-by-step explanation:
For the perimeter, we simply add the lengths of each of the 5 sides together (or multiply 5 times one side length).
P = 5(921)
P = 4605 feet
For the area, we will use composition...add the area of the triangle to the area of the trapezoid.
For the area of the triangle, the formula is
.
Filling in our values gives us
and
A = 403,045 square feet.
Now for the trapezoid. The formula for a trapezoid is
![A=\frac{1}{2}(b_{1}+b_{2})(h)](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%28b_%7B1%7D%2Bb_%7B2%7D%29%28h%29)
where the b's represent the bases and the h represents the height. Filling in our values gives us
![A=\frac{1}{2}(921+1490)(876)](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%28921%2B1490%29%28876%29)
Work inside the parenthesis first:
and
A = 1,056,018
Now we add those together to get that area of the Pentagon is 1,459,063 square feet