Answer:
I am not sure if I am right, but in my opinion, it is a valid sample, since they are participating and getting paid, so I would personally go for the third option, but the decision is on you.
H>12 and w>12 however p≤60
p=2(h+w) but give what we have above for h and w
p>48 so p must satisfy the solution set:
48<p≤60 and since p=2(h+w)
48<2(h+w)≤60
24<h+w≤30
So there are infinitely many solutions if h and w are not restricted to integer values...
(h,w) vary from (12,18) to (18,12) Note that neither endpoints exist, 12 because it is explicitly excluded and 18 because that would make the other dimension 12 which is excluded...
Now if you are just talking integer values, there are only:
(13,17),(14,16),(15,15),(16,14),(17,13)
Yes, both have the 110 degrees angle, and according to some theorem, the interior angles formed by the intersection of the 2 lines, they are also congruent angles (the y angles). All that remains is the x angle, which is congruent to the other angle.
The two-sided alternative hypothesis is appropriate in this case, the reason being we are asked "does the data indicate that the average body temperature for healthy humans is different from 98.6◦........?".
The test statistic is:

Using an inverse normal table, and halving

for a two-tailed test, we look up

and find the critical value to be Z = 2.5758.
Comparing the test statistic Z = -5.47 with the rejection region Z < -2.5758 and Z > 2.5758. we find the test statistic lies in the rejection region. Therefore the evidence does not indicate that the average body temperature for healthy humans is different from 98.6◦.
<span>Is the following definition of perpendicular reversible? If
yes, write it as a true biconditional.</span>
Two lines that intersect at right angles are perpendicular.
<span>A. The statement is not reversible. </span>
<span>B. Yes; if two lines intersect at right
angles, then they are perpendicular.
</span>
<span>C. Yes; if two lines are perpendicular, then they intersect at
right angles. </span>
<span>D. Yes; two lines
intersect at right angles if (and only if) they are perpendicular.</span>
Your Answer would be (D)
<span>Yes; two lines
intersect at right angles if (and only if) they are perpendicular.
</span><span>REF: 2-3 Biconditionals and Definitions</span>