Answer:
A sample size of 3 is required.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Z-table as such z has a p-value of
.
That is z with a pvalue of
, so Z = 2.054.
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.
Based on previous evidence, he believes that the standard deviation is approximately 3.6 hours.
This means that 
He would like to be 96% confident that his estimate is within 5 hours of the true population mean. Use RStudio to determine how large of a sample size is required without rounding any interim calculations.
The sample size needed is of n, and n is found when M = 5. So






Rounding up:
A sample size of 3 is required.
Answer:
a
Step-by-step explanation:
Answer:
<em>3x + 2y = -2 </em>
Step-by-step explanation:
<em>Given Equation is</em> <em>−
2
x + 3
y = 12</em>
3
y =
2
x + 12
y
= (
2
/3
) y + 12
<em />
<em>Slope of this line is </em><em>m = 2/
3
</em>
<em>
Slope of Line A </em><em>
m
a = 2
</em>
<em>
Slope of Line B </em><em>m
b = 2/
3
</em>
<em>
Slope of Line C </em><em>m
c = −
(
2
/3
)
</em>
<em>
Slope of Line D</em> <em>m
d = − (
3
/2
)
</em>
since m
d = −
1
/m , <em>D</em> is perpendicular to the given line
So firstly, remember that <u>subtracting a negative number is the same as adding a positive number</u> so our expression will look like this:

Now solve as such:

<u>Your answer is -4, or A.</u>