Given:
Line A:
Line B:
Line C:
Line D:
To find:
Which lines are perpendicular
Solution:
General equation of a line:
y = mx + c
where m is the slope and c is the y-intercept.
Slope of line A =
Slope of line B =
Slope of line C = 2
Slope of line D =
<em>Two lines are perpendicular if their slopes are negative reciprocal of one another.</em>
Negative reciprocal of is 2.
Therefore line B and line C are perpendicular lines.
Answer:
The error bound is 3.125%.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence interval
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
For this problem, we have that:
A sample of 506 California adults.. This means that .
76% of California adults (385 out of 506 surveyed) feel that education is one of the top issues facing California. This means that
We wish to construct a 90% confidence interval
So , z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
The error bound of the confidence interval is the division by 2 of the subtraction of the upper limit by the lower limit. So:
The error bound is 3.125%.