Answer:
x = -4
Step-by-step explanation:
Divide both sides by -2.
x= - 8/2
Simplify - 8/2 to -4.
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Answer:
4(x - 3)
Step-by-step explanation:
When you put brackets around a binomial (has 2 parts separated by a plus / - sign), you must take out a common factor from both terms separated by the + or - sign
A only has the 4 taken away from the x. The answer is not A
B has the 3 removed from the 12, not the x, so B is not the answer.
C that's the answer.
Answer:
a)
The 95% confidence interval would be given by (0.799;0.847)
b)
And rounded up we have that n=622
c)
And rounded up we have that n=1068
Step-by-step explanation:
Part a
![\hat p=\frac{823}{1000}=0.823](https://tex.z-dn.net/?f=%5Chat%20p%3D%5Cfrac%7B823%7D%7B1000%7D%3D0.823)
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by
and
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
If we replace the values obtained we got:
The 95% confidence interval would be given by (0.799;0.847)
Part b
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
And replacing into equation (b) the values from part a we got:
And rounded up we have that n=622
Part c
And rounded up we have that n=1068