Answer: 208.
Step-by-step explanation:
The formula to find the minimum sample size is given by :-
(1)
, where z* = critical z-value (two tailed).
= Standard deviation ( from prior study ) and E = Margin of error.
As per given , we have
Margin of error : E= 0.29
Confidence level = 85%
Significance level =
Using z-table , the critical value (two -tailed)=
As per previous study , Variance =
Now, the required minimum sample size = 
[Substitute the values in formula (1)]
[ Round to the next integer]
Hence, the minimum number of third graders that must be included in a sample = 208.
The initial value of the graph is where 
. Thus, in this case, the initial value is 12.
The rate of change of the graph is essentially the slope of the graph. In this case, we can use the slope formula:
and 
are points on the graph
Let's use two points from the chart to find the slope:
In this case, the rate of change of the graph is 9.
Favourite starts fifth letter down farthest left column
Still working on the others
Answer:
Horizontal: y=-8
Vertical: x=-3
Step-by-step explanation:
