Answer:
We are confident at 99% that the difference between the two proportions is between 
. And since the confidence interval cotains the value 0 we don't have enough evidence to conclude that we have significant differences between the to proportions in these two cities
Step-by-step explanation:
represent the real population proportion for 1
represent the estimated proportion for 1
is the sample size required for 1
represent the real population proportion for 2
represent the estimated proportion for 2
is the sample size required for 2
represent the critical value for the margin of error
The confidence interval for the difference of two proportions would be given by this formula
For the 99% confidence interval the significance is 
and 
, and the critical value using the normal standard distribution.
Replacing we got:
We are confident at 99% that the difference between the two proportions is between
. And since the confidence interval cotains the value 0 we don't have enough evidence to conclude that we have significant differences between the to proportions in these two cities
Answer:
p=4 and q could be any real number (except 1 because then CD would not be a line since the points would lie on top of each other).
Step-by-step explanation:
For CD to be horizontal, both of the y coordinates for CD need to be equal. Since we are already given one of the y coordinates (the y coordinate for D is 4), then we know that the y coordinate for C (p) is 4 as well). Since it doesn't really matter what q is (any value of q except 1 would create a horizontal line with point C as long as p=4), it is any real number except 1.
The first step is to combine like terms. So u would do 2-6. You then get -4 then u just bring everything else down. So now u should have this :
8x -4 = 4x + 8 + 3x
Now you do the same thing to the other side. U combine like terms which in this case are 4x and 3x. So u just do 4+3 which is 7 so now u have 7x. So now ur equation would be:
8x -4 = 7x +8
Now u do the inverse of 7 which would be -7 and u do that on both sides. So it would look like this :
8x -4 = 7x + 8
-7x. -7x
So now 7 and -7 cancel each other other and 8 -7 is 1 so now u have one x. So ur equation would now look like this:
1x -4 = 8
Now u do the inverse of negative 4 which is +4. So you would add 4 on both sides on both sides. Like shown:
1x -4 = 8
+4 +4
So u just add 8 + 4 which is 12. Now since anything times 1 is itself ur answer will be X=12
Hope this helped
First step is to factorize the given expression as follows:
2x^2 + 7x - 15 = (2x-3)(x+5)
This means that the two roots of the equation are 3/2 (or 1.5) and -5
Now, we will get r and s:
we are given that the value of r is greater than the value of s, since 1.5 is greater than -5, therefore:
r = 1.5
s = -5
