Answer:
a-2=a-2
Step-by-step explanation:
Here it is, you just have to notice that the numerator has common factors alternated. You will then collect the same parentheses and simplify with the denominator.
Solve each system by elimination 6x+3y=21 -12x+y=-7
2 answers:
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Answer:
a)
[0.5235, 0.5765]
To interpret this result, we could say there is a 99% of probability that the proportion of American adults who have watched digitally streamed TV programming on some type of device is between 52.35% and 57.65%
b) 1,843 American adults
Step-by-step explanation:
The 99% confidence interval is given by
where
<em>p = the proportion of American adults surveyed who said they have watched digitally streamed TV programming on some type of device = 55% = 0.55</em>
<em> the z-score for a 99% confidence level associated with the Normal distribution N(0,1). We can do this given that the sample size (2,341) is big enough</em>
<em>n = sample size = 2,341</em>
We can find the value either with a table or with a spreadsheet.
In Excel use NORM.INV(0.995,0,1)
In OpenOffice Calc use NORMINV(0.995;0;1)
We get a value of = 2.576
and our 99% confidence interval is
<em>To interpret this result, we could say there is a 99% of probability that the proportion of American adults who have watched digitally streamed TV programming on some type of device is between 52.35% and 57.65%</em>
We are 99% confident that this interval contains the true population proportion.
(b) What sample size would be required for the width of a 99% CI to be at most 0.03 irrespective of the value of p?? (Round your answer up to the nearest integer.)
The sample size n in a simple random sampling is given by
where
<em>e is the error proportion = 0.03</em>
hence
taking the derivative with respect to p, we get
n'(p)=7373.0844-2*7373.0844p
and
n'(p) = 0 when p=0.5
By taking the second derivative we see n''(p)<0, so p=0.5 is a maximum of n
This means that if we set p=0.5, we get the maximum sample size for the confidence level required for the proportion error 0.03
Replacing p with 0.5 in the formula for the sample size we get
rounded up to the nearest integer.
Given:
an expression is given as (2x + 1) - (4x + 3)
Find:
we have to find subtraction and then graph it.
Explanation:
The subtraction
Therefore, (2x + 1) - (4x + 3) = -2 (x + 1)
Now we will draw the graph of -2(x + 1) as follows
