karatsgrande9125
03.11.2020 •
Mathematics
In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time college students who earn a bachelor's degree in four years or less. Find
the sample size needed to estimate that percentage. Use a 0.05 margin of error and use a confidence level of 90%. Complete parts (a) through (c) below.
a. Assume that nothing is known about the percentage to be estimated
-ח
(Round up to the nearest integer.)
b. Assume prior studies have shown that about 55% of full-time students earn bachelor's degrees in four years or less.
(Round up to the nearest integer.)
c. Does the added knowledge in part (b) have much of an effect on the sample size?
A. Yes, using the additional survey information from part (b) only slightly increases the sample size.
B. No, using the additional survey information from part (b) does not change the sample size.
OC. No, using the additional survey information from part (b) only slightly reduces the sample size.
OD. Yes, using the additional survey information from part (b) dramatically reduces the sample size.
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Ответ:
graph{3x+5 [-10, 10, -5, 5]}
x
intercept:
x
=
−
5
3
y
intercept:
y
=
5
Explanation:
For a linear graph, the quickest way to sketch the function is to determine the
x
and
y
intercepts and draw a line between the two: this line is our graph.
Let's calculate the
y
intercept first:
With any function,
y
intercepts where
x
=
0
.
Therefore, substituting
x
=
0
into the equation, we get:
y
=
3
⋅
0
+
5
y
=
5
Therefore, the
y
intercept cuts through the point (0,5)
Let's calculate the
x
intercept next:
Recall that with any function:
y
intercepts where
x
=
0
.
The opposite is also true: with any function
x
intercepts where
y
=
0
.
If we substitute
y
=
0
, we get:
0
=
3
x
+
5
Let's now rearrange and solve for
x
to calculate the
x
intercept.
−
5
=
3
x
−
5
3
=
x
Therefore, the
x
intercept cuts through the point
(
−
5
3
,
0
)
.
Now we have both the
x
and
y
intercepts, all we have to do is essentially plot both intercepts on a set of axis and draw a line between them
The graph of the function
y
=
3
x
+
5
:
graph{3x+5 [-10, 10, -5, 5]}