Answer:
<h2>x = 8.5in, y = 17in, r = 28°, s = 62°</h2>
Step-by-step explanation:
If ΔJNZ and ΔKOA are similar, then corresponding sides are in proportion and corresponding angles are congruent.
We have the proportion:
and equations:
We have:
For y we must use the Pythagorean theorem:
<em>cross multiply</em>
<em>divide both sides by 8</em>
43% of 600 gallons of water is
258Convert your percentage into a decimal:
Multiply your decimal and 600:
Answer:
an apparent solution that must be rejected because it does not satisfy the original equation.
Step-by-step explanation:
Every triangle has 180 degrees when you add there angles so you know that they will add up to 180
they are right triangles so the right angle has 90 degrees
so for the yellow triangle
90+45+x=180
135+x=180
45=x
we can tell where the purple and yellow triangle touch is 90 so 45+x=90 to find that angle which is 45
and the other one is 45
so there are two 90 degree angles and three 45 degree angles.
I hope that made sence
Answer:
a) 
b) The should sample at least 293 small claims.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so , which means that the answer of question a is z = 1.645.
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
(b) If the group wants their estimate to have a maximum error of $12, how many small claims should they sample?
They should sample at least n small claims, in which n is found when
. So
The should sample at least 293 small claims.
