I forgot how to do this sorry
Answer:
99% CI:

Step-by-step explanation:
We have to calculate a 99%CI for the difference of means for the vegan and the omnivore.
First, we have to estimate the standard deviation

The MSE can be calculated as

The weighted sample size nh can be calculated as

The standard deviation then becomes

The z-value for a 99% confidence interval is z=2.58.
The difference between means is

Then the confidence interval can be constructed as

Step-by-step answer:
Please refer to attached image.
1. Quad PQRS is cyclic (all vertices on the same circle), so opposite angles are supplementary, meaning
that
angles QPS and QRS are supplementary =>
QPS+QRS=180 =>
QRS = 180 - 74 = 106
2. Triangle RSQ is isosceles with RS=RQ =>
angles RSQ and RQS are congruent.
3. Angle RSQ = (180 - 106) /2 = 74 / 2 = 37
4. QP is a diameter => angle QSP is a right-angle.
5. From (3) and (4) above,
angle RSP = 37+90 = 127
6. Since PQRS is cyclic, angles RQP and RSP are supplementary =>
RQP+RSP = 180 =>
x + 127 = 180 =>
x = 180 - 127 = 53 degrees.
Answer:
<u>32m^2</u>
Step-by-step explanation:
32m^2
8*4 = <u>32</u>
Have a nice day! :-)
SSS or Side Side Side Theorem.
We have congruent triangles when corresponding sides are congruent; we call it a theorem but that's pretty much the definition of congruent triangles.