Yes, they are independent event such that occurring the first event “choosing a sophomore” does not affect the probability of occurring the second event <span>“choosing someone who replied ‘Yes’”</span><span />
Answer:
60
Step-by-step explanation:
Y = x^2 -3
y = (x-3)(x+3)
For x-intercepts, y = 0
Therefore (x-3)(x+3) = 0
x intercepts are (3,0) and (-3,0)
The line of symmetry is x = 3+(-3) = 0
Vertex is on the line of symmetry
When x = 0, y = -1
Vertex = (0,-1)
Given:
There exist a proportional relationship between x and y.
To find:
The equation which represents a proportional relationship between x and y.
Solution:
If there exist a proportional relationship between x and y, then


where, k is constant of proportionality.
We know that, proportional relationship passes through the origin because (0,0) satisfy
.
For x=0, check which equation has y=0.
In option A,
.
In option B,
.
In option C,
.
In option D, 
Only in option C, we have a equation of the form
with 4 as constant of proportionality and it passes through (0,0).
Therefore, the correct option is C.
I think it’s a very weak association because a strong one would be forming a straight line but this is clustered in one area. It’s not a no correlation because it’s not just anywhere