1. x intercept - (2,0)
y intercept - (0,4)
2. x intercept - (3,0)
y intercept - (0,-5)
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).
X/8 = 19/13 => x = (8*19)/13 = 11.69 inches long;
Answer:
0
Step-by-step explanation:
(sin(2n) − 1) / (sin n − cos n)
-(1 − sin(2n)) / (sin n − cos n)
-(1 − 2 sin n cos n) / (sin n − cos n)
-(sin² n − 2 sin n cos n + cos² n) / (sin n − cos n)
-(sin n − cos n)² / (sin n − cos n)
-(sin n − cos n)
cos n − sin n
Limit as n approaches π/4 is 0.