A. If you plot the points in a graph, it would look like that shown in the picture attached. If we use linear regression, the correlation is very poor. The coefficient of correlation (r2) is only 0.0017. There is no linear relationship between time and velocity.
B. The slope of the graph is equal to y2-y1/x2-x1, In this case, it would specifically be v2-v1/t2-t1
Slope = 0.8-0.2/20-10 = 0.06 miles/s^2
The slope represents the acceleration at time 10 to 20 minutes.
C. The table in the graph shows causation rather than correlation. The points in the data occur in a sequential manner.
Answer:
<1 = <3
m<1 + m<4 = 180
m 2 + m 3 = 180
Step-by-step explanation:
If <1 and <2 are linear pair, hence <1 + <2 = 180
If <2 and <3 are linear pair, hence <2 + <3 = 180
Since <1, <2 and <3 are linear pair, hence <1 and <3 vertically opposite
<1 and <4 will also be a linear pair since they will lie on the same straight line. Since the sum of angle on a straight line is 180, hence <1 + <4 = 180degrees
The correct options are
<1 = <3
m<1 + m<4 = 180
m 2 + m 3 = 180
Answer:
The building's shadow will be 60 feet.
Step-by-step explanation:
Think of John as a vertical line, and his shadow as a horizontal line on a 90 degree angle, and well as the building and it's shadow.
This is a proportions problem, so you want to match the similar items, right? John and the building are similar, and the two shadows are similar.
Now, set up fractions so you can butterfly multiply to get x, the shadow of the building. John/JohnShadow = Building/BuildingShadow. These two will equal the same thing because they are the same proportion.
5/12 = 25/x
5(x) = 12(25)
5x = 300
x = 300/5
x = 60
The building's shadow will be 60 feet. If you do the math, 5/12 = .4167, and 25/60 = .4167, so the proportions match. Hope this helps, comment if you are confused!
Step-by-step explanation:
The first expression is :
Numerator = -11×2 = -22
Denominator = 3
So, answer will be :
(negative)
The second expression is:
Numerator = -11×-2 = 22
Denominator = 3
So, the answer will be :
(positive)
Hence, this is the required solution.
