Please help. I don't get this.
1 answer:
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Answer: The correct option is (D) SET 4.
Step-by-step explanation: We are to select the correct set of side lengths that will form a right-angled triangle.
To form a right-angled triangle, we must have the following relation:
<em>Perpendicular² + Base² = Hypotenuse².</em>
<em>Hypotenuse is the length of the largest side; perpendicular and base are the two legs of the triangle.</em>
SET 1 : 14 cm, 5 cm, 6 cm.
We have
Therefore,
<em>Perpendicular² + Base² ≠ Hypotenuse².</em>
So, this set will not form a right-angled triangle.
SET 2 : 8 in., 12 in., 20 in.
We have
Therefore,
<em>Perpendicular² + Base² ≠ Hypotenuse².</em>
So, this set will not form a right-angled triangle.
SET 3 : 10 mm, 20 mm, 30 mm.
We have
Therefore,
<em>Perpendicular² + Base² ≠ Hypotenuse².</em>
So, this set will not form a right-angled triangle.
SET 4 : 12 ft, 16 ft, 20 ft.
We have
Therefore,
<em>Perpendicular² + Base² = Hypotenuse².</em>
So, this set will form a right-angled triangle.
Thus, the SET 4 will form a right-angles triangle.
Option (D) is correct.
Answer: B.
Step-by-step explanation:
Let be the proportion of all U.S. adults that smoked in 1995. Let
denote the proportion of all U.S. adults that smoked in 2000.
Objective for the study : Whether the proportion of U.S. adults that smoke declined during the 5-year period between the samples.
i.e.
Alternative hypothesis is the statement containing population parameter that shows there is significant difference between the groups being tested.
⇒
Null hypothesis is the statement containing population parameter that shows there is no significant difference between the groups being tested.
⇒
Hence, The hypotheses to test in this problem are
Hence, the correct answer is B.