The cumulative frequency of students who earned a score of 20 or lower on the quiz is option d) 68.
<h3>What is the frequency about?</h3>
The relative cumulative frequency of students in the question is seen as those who earned a score of 20 to be 0.68 or 68 %.
From the question, The cumulative frequency of students who earned a score of 20 or lower on the quiz is:
= 4+8+15+7
=34.
Total frequency is:
= 4+8+15+7+7+3+4+2
=50.
Therefore, the relative cumulative frequency is:
= 34/50
= 0.68
= 68%
Hence, The cumulative frequency of students who earned a score of 20 or lower on the quiz is option d) 68.
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You were on the correct path in the beginning, so it was 100%. You then had a fork of two ways, and taking one randomly leaves you with a 50% chance of being on the right track. The second fork cuts your chances in half again, so 25%. There is a 25% chance you are still on the correct path.
Answer: 
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Explanation:
Method 1
We can use the pythagorean theorem to find x.
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Method 2
Use the sine ratio to find x. You'll need a reference sheet or the unit circle, or simply memorize that sin(60) = sqrt(3)/2
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Method 3
Similar to the previous method, but we'll use tangent this time.
Use a reference sheet, unit circle, or memorize that tan(60) = sqrt(3)
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Method 4
This is a 30-60-90 triangle. In other words, the angles are 30 degrees, 60 degrees, and 90 degrees.
Because of this special type of triangle, we know that the long leg is exactly sqrt(3) times that of the short leg.
The short leg is always opposite the smallest angle (30 degrees).
Answer:
(- 1, - 8 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 180°
a point (x, y ) → (- x, - y ) , thus
(1, 8 ) → (- 1, - 8 )
