<h3>
Answer: C) 4/8 = 0.5</h3>
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Explanation:
The sine ratio involves the opposite over hypotenuse.
With respect to reference angle J, the opposite leg is the one furthest from the angle. So the opposite side is KL = 4. The hypotenuse is always the longest side, always opposite the 90 degree angle, so LJ = 8 is the hypotenuse.
sin(angle) = opposite/hypotenuse
sin(J) = KL/LJ
sin(J) = 4/8
sin(J) = 0.5
Classify the two given samples as independent or dependent.
sample 1: the scores of 20 students who took the act
sample 2: the scores of 20 different students who took the sat
Solution: The two given samples are independent samples because in both the samples, the scores of one student will not affect the scores of other students.
Independent samples are samples that are selected randomly so that its observations do not depend on the values other observations.
One way you could solve this is to just multiply the top and bottom out so that you get 9/81, reducing it by 9/9 to get 1/9 or option C.
Another way would be to do
since dividing numbers with exponents would be subtracting the bottom exponent from the top exponent, provided that the base number (in this case 3) is the same for both. For this method, you would get
, which is equal to 1/9 or .1 repeating, the same answer that you'd get with the first method.
The fraction is 12/1000 which simplified to 3/250. The percentage is 1.2%.
