Answer:
The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 27 - 1 = 26
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 26 degrees of freedom(y-axis) and a confidence level of
. So we have T = 2.0518
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample.
In this question:
. So


The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.
It already is rounded to the tenths
.1 is tenth
Answer:
21.74 ft
Step-by-step explanation:
We use Cosine because we are dealing with the Adj and Hyp
Cos 85 = x/20
x = 20 Cos 85
x = 1.74 feet away from the base of the wall.
Since the ladder is 20 foot long, the total distance will be 1.74 + 20 = 21.74 ft
To find the x-intercept, substitute in
0
0
for
y
y
and solve for
x
x
. To find the y-intercept, substitute in
0
0
for
x
x
and solve for
y
y
.
x-intercept(s):
(
5
,
0
)
(
5
,
0
)
y-intercept(s):
(
0
,
−
15
)