(NEED ASAP) 15 POINTS
1 answer:
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Answer:
Correct option: B
Step-by-step explanation:
The professor can perform a One-mean <em>t</em>-test to determine whether the average score of the students in his class is more than the average score of all the students attending university.
A <em>t</em>-test will be used instead of the <em>z</em>-test because the population standard deviation is not provided instead it is estimated by the sample standard deviation.
The hypothesis for this test can be defined as follows:
<em>H₀</em>: The average score of the students in his class is not more then the entire university, i.e. <em>μ ≤ 35</em>.
<em>Hₐ</em>: The average score of the students in his class is more then the entire university, i.e. <em>μ > 35</em>.
Given:
The test statistic is:
Thus, the correct option is (B).
Answer: 12.5
Step-by-step explanation: The triangle ABC and its altitude is represented in the figure below.
<u>Altitude</u> is a segment of line that link a vertex and the opposite side, forming a right angle.
So, because of , now we have two similar triangles, which means that ratios of corresponding sides are equal:
(1)
This is always true for a right triangle and a altitude drawn to the hypotenuse.
Triangle BDC is also right triangle. So, we can use Pythagorean theorem to determine the missing side.
(2)
Substituting (2) into (1):
We want to find f, so:
f = 7.5
The length of is
The length of the hypotenuse of triangle ABC is 12.5 units.
