1. A
2. D
3. D
Those are the answers I got I hope this helps you!!
Answer:
Then the minimum sample size in order to satisfy the condition of 0.1 for the margin of error is 97 and since the sample used is n =100 we can conclude that is sufficient and the best answer would be:
D. Yes.
Step-by-step explanation:
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. We know that we require a 95% of confidence, our significance level would be given by
and
. And the critical value would be given by:
The margin of error for the proportion interval is given by this:
(a)
We want a margin of error of
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
Since we don't have prior info for the population proportion we can use as estimator the value of 0.5. And replacing into equation (b) the values from part a we got:
Then the minimum sample size in order to satisfy the condition of 0.1 for the margin of error is 97 and since the sample used is n =100 we can conclude that is sufficient and the best answer would be:
D. Yes.
Answer:
Multiply both sides by 
Step-by-step explanation:
Given

Required
Get an equivalent of 
To do this, we simply multiply through by 








For the first the correct answer is C
the second
the perimiter of the triangle is equal the sum of the sides
x +x-1+x-2= 12
3x = 12 +3
x= 15/3 = 5