Answer:
AAS
Step-by-step explanation:
It has two sets of angles that are congruent. I'm no 100% so hope the picture helps you a little!!
<span>-x + 5y= -18 so x = 5y + 18
5x-9y=10
substitute </span>x = 5y + 18 into 5x - 9y = 10
5x - 9y = 10
5(5y + 18) - 9y = 10
25y + 90 - 9y = 10
16y = - 80
y = -5
x = 5y + 18
x = 5(-5) + 18
x = -25 + 18
x = -7
answer
(-7, -5)
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

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
Answer:
K=27
Step-by-step explanation:
the answer is 27