Answer:
There is only one solution and the solution is (0,4).
Step-by-step explanation:
The given system has equations;
and
We equate the two equations to determine their point of intersection;
We put x=0 into the first equation to get;
There is only one solution and the solution is (0,4).
Answer:
The percent of change from 74 to 112 is 51%.
Step-by-step explanation:
Given:
The percent of change from 74 to 112.
Now, the difference between the numbers .
Then, calculating the percentage of the result by .
.
Round to the nearest percent of is
.
Therefore, the percent of change from 74 to 112 is 51%.
Answer:
a) n= 1045 computers
b) n= 442 computers
c) A. Yes, using the additional survey information from part (b) dramatically reduces the sample size.
Step-by-step explanation:
Hello!
The variable of interest is
X: Number of computers that use the new operating system.
You need to find the best sample size to take so that the proportion of computers that use the new operating system can be estimated with a 99% CI and a margin of error no greater than 4%.
The confidence interval for the population proportion is:
p' ± *
a) In this item there is no known value for the sample proportion (p') when something like this happens, you have to assume the "worst-case scenario" that is, that the proportion of success and failure of the trial are the same, i.e. p'=q'=0.5
The margin of error of the interval is:
d= *
n= 1045 computers
b) This time there is a known value for the sample proportion: p'= 0.88, using the same confidence level and required margin of error:
n= 442 computers
c) The additional information in part b affected the required sample size, it was drastically decreased in comparison with the sample size calculated in a).
I hope it helps!