Answer:
The rocket hits the ground at a time of 11.59 seconds.
Step-by-step explanation:
The height of the rocket, after x seconds, is given by the following equation:
It hits the ground when 
, so we have to find x for which , which is a quadratic equation.
Finding the roots of a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots 
such that 
, given by the following formulas:
In this question:
So
Since time is a positive measure, the rocket hits the ground at a time of 11.59 seconds.
Answer: Verizon is less expensive than the S&P 500 on both a P/E and dividend yield basis.
Step-by-step explanation:
When a <em>Price to Earnings ratio is relatively high</em> this means that the <em>Price of the security is high </em>because investors believe the company has good prospects.
When a Dividend Yield is relatively low, this means that the dividends being declared are quite lower than the price because Dividend yield is dividends as a percentage of security price. <em>Lower Dividend Yields therefore mean high security prices</em>.
Looking at the Verizon Chart and the S&P 500 you see that Verizon P/E ratio is 11.71 while S&P is 19.01.
This means that the price of Verizon's is less than S&P 500.
Also notice that Verizon's Dividend yield is 4.09% while S&P 500's is 1.91% again signifying that Verizon is cheaper.
I have attached the full question.
Answer:
A.) 5 x 2.80 B.) 100
Step-by-step explanation:
14/2.80=5 which is how many gallons
5 x 20 = 100 for the miles
25% OFF is 100%-25%=75%
75% is 0.75 in decimal form
if x is the original price then
0.75x=33
x=33/0.75= £44
Answer:
Step-by-step explanation:
Assuming conditions are met, the formula for a confidence interval (CI) for the difference between two population proportions is 
where 
and 
are the sample proportion and sample size of the first sample, and 
and 
are the sample proportion and sample size of the second sample.
We see that 
and 
. We also know that a 98% confidence level corresponds to a critical value of 
, so we can plug these values into the formula to get our desired confidence interval:
Hence, we are 98% confident that the true difference in the proportion of people that live in a city who identify as a democrat and the proportion of people that live in a rural area who identify as a democrat is contained within the interval {-0.2941,-0.0337}
The 98% confidence interval also suggests that it may be more likely that identified democrats in a rural area have a greater proportion than identified democrats in a city since the differences in the interval are less than 0.
