Answer:
a) TRUE
b) FALSE
c) FALSE
d) TRUE
e) FALSE
Step-by-step explanation:
a)
TRUE because the slope of the correlation line is 2 and this is the rate of change of y respect to x
b)
FALSE
The correlation coefficient r is always between -1 and 1, so it can never be greater than one
c)
FALSE
A student might expect that there is a positive correlation between the age of their laptop and its resale value only if after collecting a large enough sample of data that relates age of the student and price of resale of their laptop, he or she finds that there is a positive correlation coefficient r>0
d)
TRUE
If there is a positive correlation, then the greater the x, the greater the y
e)
FALSE
If there is no correlation between the independent and dependent variables, then the value of the correlation coefficient must be 0.
Answer:
3/28
Step-by-step explanation:
36: 1,2,3,<span> 4,6,9,12,18,36
48: 1,2,3,4,6,8,12,16,24,48</span>
Solution: The given problem is a binomial distribution.
The probability that a team member receives a scholarship is 
Therefore, the given problem follows binomial with n = 5 and p = 0.6667
Now the probability that 4 of 5 players selected are on scholarship is:
Therefore, the probability that 4 of 5 players selected are on scholarship is 0.329
So since the vertex falls onto the axis of symmetry, we can just solve for that to get the x-coordinate of both equations. The equation for the axis of symmetry is 
, with b = x coefficient and a = x^2 coefficient. Our equations can be solved as such:
y = 2x^2 − 4x + 12: 
y = 4x^2 + 8x + 3: 
In short, the vertex x-coordinate's of y = 2x^2 − 4x + 12 is 1 while the vertex's x-coordinate of y = 4x^2 + 8x + 3 is -1.
