Answer: Pythagorean Theorem Pieces of Right Triangles is not a justification for the proof.
Explanation : Here, is a right triangle with sides a, b and c. Perpendicular CD forms right triangles BDC and CDA.
CD measures h units, BD measures y units, DA measures x units.
Draw an altitude from point C to Line segment AB Let segment BC = a segment CA = b, segment AB = c, segment CD = h, segment DB = y, segment AD = x,
y + x = c
a/c=y/a( Similarity theorem in triangles ABC and DBC )
------(1) (Cross Product Property)
Similarly, (Similarity theorem in triangles ABC and ADC)---------(2)
(after adding equation (1) and (2) )
( By additional property of equality)
. ( because y + x=c)
Thus, it has been proved that except Pythagorean Theorem Pieces of Right Triangles we use all other properties.
Using the z-distribution, it is found that since the p-value is less than 0.05, there is evidence that the mean amount of cereal in each box is different from 16 ounces at 0.05 significance.
<h3>What are the hypothesis tested?</h3>At the null hypothesis, it is tested if the mean is not different to 16 ounces, that is:
At the alternative hypothesis, it is tested if the mean is different, hence:
The test statistic is:
In which:
The parameters for this problem are:
.
Hence:
z = -2.1
<h3>What is the p-value and the conclusion?</h3>Using a z-distribution calculator, for a two-tailed test, as we are testing if the mean is different of a value, with z = -2.1, the p-value is of 0.0357.
Since the p-value is less than 0.05, there is evidence that the mean amount of cereal in each box is different from 16 ounces at 0.05 significance.
More can be learned about the z-distribution at brainly.com/question/16313918
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