Answer:
And the best option for this case would be:
a. (17.5, 21.7)
Step-by-step explanation:
Information given
represent the sample mean
population mean
represent the population deviation
n=42 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula:
(1)
The degrees of freedom, given by:
Since the Confidence is 0.98 or 98%, the significance would be
and
, and the critical value would be
Replacing we got:
And the best option for this case would be:
a. (17.5, 21.7)
Answer:
The 95% confidence interval for the true proportion of university students who use laptop in class to take notes is (0.2839, 0.4161).
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population proportion <em>P</em> is:

The information provided is:
<em>x</em> = number of students who responded as"yes" = 70
<em>n</em> = sample size = 200
Confidence level = 95%
The formula to compute the sample proportion is:

The R codes for the construction of the 95% confidence interval is:
> x=70
> n=200
> p=x/n
> p
[1] 0.35
> s=sqrt((p*(1-p))/n)
> s
[1] 0.03372684
> E=qnorm(0.975)*s
> lower=p-E
> upper=p+E
> lower
[1] 0.2838966
> upper
[1] 0.4161034
Thus, the 95% confidence interval for the true proportion of university students who use laptop in class to take notes is (0.2839, 0.4161).
To get our answer, we just have to find the least common multiple (LCM) of 8 and 11. In this case, it's 88, because that's the smallest number that 8 and 11 are both factors of.
Hope this helped! :D
Step-by-step explanation:
ewtjsgmsgmgdmgqrhwtjwth<u>w</u><u>t</u><u>j</u>
<u>
</u>
<u>v</u><u>a</u><u>d</u><u>b</u><u>s</u><u>t</u><u>j</u><u>t</u><u>w</u><u>j</u><u>s</u><u>g</u><u>j</u><u>d</u><u>g</u><u>n</u><u>d</u><u>y</u><u>m</u><u>a</u><u>r</u><u>h</u><u>e</u><u>d</u><u>v</u><u>d</u><u>h</u><u>s</u><u>t</u><u>j</u><u>w</u><u>t</u><u>k</u><u>t</u><u>w</u><u>d</u><u>g</u><u>h</u><u>a</u><u>r</u><u>j</u><u>q</u><u>r</u><u>j</u><u>w</u><u>r</u><u>j</u><u>g</u><u>j</u><u>t</u><u>k</u><u>s</u><u>t</u><u>j</u><u>t</u><u>s</u><u>j</u><u>a</u><u>f</u><u>b</u><u>s</u><u>f</u><u>n</u><u>a</u><u>f</u><u>h</u><u>a</u><u>f</u><u>b</u><u>s</u><u>f</u><u>h</u><u>t</u><u>s</u><u>h</u><u>q</u><u>w</u><u>d</u><u>g</u><u>j</u><u>w</u><u>j</u><u>d</u><u>j</u><u>d</u><u>n</u><u>n</u><u>x</u><u>n</u><u>x</u><u>i</u><u>f</u><u>j</u><u>n</u><u>r</u><u>n</u><u>t</u><u>h</u><u>r</u><u>w</u><u>h</u><u>s</u><u>t</u>
<u>
</u>
<u>hfzbcEdfgaywjshhsbxbxbxb</u><u>. </u><u> </u><u>s</u><u>e</u><u>z</u><u>n</u><u>n</u><u>x</u><u>n</u><u>d</u><u>n</u><u>d</u><u>n</u><u>n</u><u>d</u><u>n</u><u>x</u><u>n</u><u>b</u><u>x</u><u>h</u><u>x</u><u>u</u><u>d</u><u>u</u><u>d</u><u>h</u><u>b</u><u>d</u><u>x</u><u>h</u><u>h</u><u>b</u><u>x</u><u>h</u><u>j</u><u>x</u><u>j</u><u>d</u><u>b</u><u>n</u><u>z</u><u>j</u><u>s</u><u>n</u><u>s</u><u>n</u><u>n</u><u>z</u><u>n</u><u>z</u><u>i</u><u>d</u><u>n</u><u>x</u><u>n</u><u>s</u><u>b</u><u>n</u><u>z</u><u>j</u><u>x</u><u>l</u><u>d</u><u>k</u><u>d</u><u>j</u><u>d</u><u>n</u><u>b</u><u>x</u>
Answer:
y = (-14/15) x + (11/15)
Explanation:
The slope-intercept form has the following formula:
y = mx + c
where:
m is the slope
c is the y-intercept
The given is:
14x + 15y = 11
To put this in slope-intercept form, we will need to isolate the y as follows:
14x + 15y = 11
15y = -14x + 11
y = (-14/15) x + (11/15)
were:
m is the slope = -14/15
c is the y-intercept = 11/15
Hope this helps :)