Given:
The table of values.
To find:
The y-intercept of the given function.
Solution:
The table of values represents a linear function because the rate of change is constant.
Consider any two points from the given table. Let the two points are (-2,15) and (1,6). Then the equation of the linear function is





Adding 15 on both sides, we get


Putting x=0, we get



The y-intercept is 9. Therefore, the correct option is C.
Answer:
Final amount of customers =30141.44
Step-by-step explanation:
Amount of customer remaining
A= p(1-r/n)^(nt)
P= initial amount of customers
R= rate but it's a negative rate
N= number of times
T= number of years
A= final amount of customers
A= p(1-r/n)^(nt)
A= 51200(1-0.038/14)^(14*14)
A= 51200(1-0.0027)^196
A= 51200(0.9973)^196
A= 51200(0.5887)
A= 30141.44
The slope of the line is positive
Answer:
We are confident that the true proportion of people satisfied with the quality of education the students receive is between (0.3995, 0.4564), since the lower value for this confidence level is higher than 0.38 we have enough evidence to conclude that the parents' attitudes toward the quality of education have changed.
Step-by-step explanation:
For this case we are interesting in the parameter of the true proportion of people satisfied with the quality of education the students receive
The confidence level is given 95%, the significance level would be given by
and
. And the critical values are:
The estimated proportion of people satisfied with the quality of education the students receive is given by:

The confidence interval for the proportion if interest is given by the following formula:
And replacing the info given we got:
We are confident that the true proportion of people satisfied with the quality of education the students receive is between (0.3995, 0.4564), since the lower value for this confidence level is higher than 0.38 we have enough evidence to conclude that the parents' attitudes toward the quality of education have changed.