Answer:
260
Step-by-step explanation:
Answer:
Two Angles are Supplementary when they add up to 180 degrees. Notice that together they make a straight angle. But the angles don't have to be together.
hope this helps <3
Step-by-step explanation:
Answer:
5 hours 12 seconds
Step-by-step explanation:
For the entire train to pass the person, the head of the lead wagon must travel (9·16 m) in 12 seconds. It is traveling at a speed of ...
(9·16 m)/(12 s) = (144/12) m/s = 12 m/s
For the train to travel 216 km + 144 m = 216,144 m will take ...
(216,144 m)/(12 m/s) = 18,012 s = 5 hours 12 seconds
_____
<em>Comment on the speed</em>
The speed of this "wagon train" is about 26.8 miles per hour, faster than any human and most animals can run for long periods. The Pony Express cross-country mail delivery service maybe set a reasonable standard for cross-country travel. Its average speed was about 10 miles per hour.
Answer:
4(3 + 2x)(-3 + 2x)
Step-by-step explanation:
Answer:
The 99 percent confidence interval for the proportion of all employees at the company who own an electric car is (0.0104, 0.0496).
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
.
In a random sample of 500 employees, 15 reported owning an electric car.
This means that ![n = 500, \pi = \frac{15}{500} = 0.03](https://tex.z-dn.net/?f=n%20%3D%20500%2C%20%5Cpi%20%3D%20%5Cfrac%7B15%7D%7B500%7D%20%3D%200.03)
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}} = 0.03 - 2.575\sqrt{\frac{0.03*0.97}{500}} = 0.0104](https://tex.z-dn.net/?f=%5Cpi%20-%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%200.03%20-%202.575%5Csqrt%7B%5Cfrac%7B0.03%2A0.97%7D%7B500%7D%7D%20%3D%200.0104)
The upper limit of this interval is:
![\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.03 + 2.575\sqrt{\frac{0.03*0.97}{500}} = 0.0496](https://tex.z-dn.net/?f=%5Cpi%20%2B%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%200.03%20%2B%202.575%5Csqrt%7B%5Cfrac%7B0.03%2A0.97%7D%7B500%7D%7D%20%3D%200.0496)
The 99 percent confidence interval for the proportion of all employees at the company who own an electric car is (0.0104, 0.0496).