Answer:
(0.806, 0.839)
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.
![\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=%5Cpi%20%5Cpm%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
In which
z is the zscore that has a pvalue of
.
Suppose we take a poll (random sample) of 3653 students classified as Juniors and find that 3005 of them believe that they will find a job immediately after graduation.
This means that ![n = 3653, \pi = \frac{3005}{3653} = 0.823](https://tex.z-dn.net/?f=n%20%3D%203653%2C%20%5Cpi%20%3D%20%5Cfrac%7B3005%7D%7B3653%7D%20%3D%200.823)
99% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
![\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.823 - 2.575\sqrt{\frac{0.823*0.177}{3653}} = 0.806](https://tex.z-dn.net/?f=%5Cpi%20-%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%200.823%20-%202.575%5Csqrt%7B%5Cfrac%7B0.823%2A0.177%7D%7B3653%7D%7D%20%3D%200.806)
The upper limit of this interval is:
![\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.823 + 2.575\sqrt{\frac{0.823*0.177}{3653}} = 0.839](https://tex.z-dn.net/?f=%5Cpi%20%2B%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%200.823%20%2B%202.575%5Csqrt%7B%5Cfrac%7B0.823%2A0.177%7D%7B3653%7D%7D%20%3D%200.839)
The answer is (0.806, 0.839)
The first is a translation of vertex L to vertex Q. What is the
second transformation?
a reflection across the line containing LK
a reflection across the line containing jk
a rotation about point l
a rotation about point k
Answer:
18; 1h30m; 15
Step-by-step explanation:
<u>Part A:</u>
James traveled 45km, you can tell because that is where he stops.
It took him from 2pm to 4:30pm.
You can find this info on the x axis.
That means 45km took him 2.5 hours.
45/2.5=18
James travels 18km per hour.
<u>Part B:</u>
The stop is indicated by the flat part in the graph. This is because when he stops, the distance he is away from home is not changing.
His stop is from 4:30pm to 5pm.
This means that his stop is 1 hour and 30 minutes.
<u>Part C:</u>
James had to travel 45km to get back home. (45-0)
It took him from 5pm to 8pm.
This means that on his journey back, 45km took him 3 hours.
45/3=15
James travels 15km per hour.
Answer:
(-∞, ∞) = domain
(-∞, 12] = range
Explanation:
Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
Hope this helps! :)
3 divide by 5 is 0.6 and you move the decimal two places to the right and your percentage is 60%