Answer: E
Conclusion E is most appropriate
Step-by-step explanation:
Rebounds and wins are positively correlated, but we cannot conclude that getting more rebounds causes more wins, on average.
Because if a scatterplot shows a strong, positive, linear relationship between two variables, then the two variables are positively correlated but there is no causation between them.
check the picture below.
namely, which of those intervals has the steepest slope, recall slope = average rate of change.
now, from the picture, notice, those two there are the steepest, the other three are leaning too much to the "ground".
so, from those two, which is the steepest anyway? let's check their slope.
Hope this helps!
https://www.omnicalculator.com/math/radius-of-sphere
Answer:
Cov (X,Y) = 6
Step-by-step explanation:
hello,
Cov(X,Y) = E(XY) - E(X)E(Y)
we must first find E(XY), E(X), and E(Y).
since X is uniformly distributed on the interval (0,12), then E(X) = 6.
next we find the joint density f(x,y) using the formula
this is because f is uniformly distributed on the the interval (0,12)
also since the conditional probability density of Y given X=x, is uniformly distributed on the interval [0,x], then
for 0≤y≤x≤12
thus
.
hence,
also,
thus Cov(X,Y) = E(XY) - E(X)E(Y)
= 24 - (6)(3)
= 6
Answer: The reason of 2nd statement is "Converse of corresponding angle post". The reason of 3rd statement is "given". The reason for 4th statement is "perpendicular transversal theorem".
Explanation:
It is given that in the figure angle 1 and 2 are congruent angles. It is also given that the line p is perpendicular to r.
We have to prove line q is perpendicular to r.
it is given that angle 1 and 2 are congruent angles, since line p is perpendicular to line r it means angle 1 and 2 are 90 degree.
Since angle 2 and 3 are supplementary angles it means their sum is 180 degree. Angle 2 is 90 it means angle 3 is also 90 degree.
Since the corresponding angle are same, it means the lines are parallel.
It is given that the line p is perpendicular to r.
The perpendicular transversal theorem states that if two lines are perpendicular to the same line then the lines are parallel to each other.
Since the lines are parallel and bth are perpendicular to the same line, therefore, by perpendicular transversal theorem the line q is perpendicular to line r.