Answer:
The test statistics is 
Step-by-step explanation:
From the question we are told that
The data given is
330 620 1870 2410 4620 6396 7822 81028309 12882 14419 16092 18384 20916 23812 25814
The population mean is 
The sample size is n = 16
The null hypothesis is 
The alternative hypothesis is 
The sample mean is mathematically evaluated as
So
=> 
The standard deviation is mathematically represented as
So
=> 
Generally the test statistic is mathematically represented as
From the z-table the p-value is
From the values obtained we see that
so we fail to reject the null hypothesis
Which implies that the claim of the NarStor is wrong
Happy New Year from MrBillDoesMath!
Answer:
Proof by ASA congruence postulate. See below
Discussion:
Fact 1 : angle A = angle T (given)
Fact 2: The angles on both sides of point X are equal as vertical angles
are equal.
From these facts it follows that angle M = angle H (as all plane triangles have 180 degrees). Also AM = TH (given) so
In the left triangle In the right triangle
(angle M, side AM, angle A) = (angle H, side TH, angle T)
Hence the triangles have two congruent angles, and congruent sides included between the angles, so they are congruent by ASA.
Thank you,
MrB
1 <span>equal
2 </span><span>vary different
3 </span><span>fair
hope this helps
</span>
135/3=45
20% of 45=9
45+9=54
so each person owes $54 toward bill and tip
