The bottom one
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Answer:
Probability of selecting red tile out of a box containing 3 red,2 white & 5 black tiles = 3/10 = 0.3
Step-by-step explanation:
Probability is the calculation of likelihood of an event.
It can be calculated by Formula : Favourable outcome / Total Outcomes
Example : If a box contain 3 red tiles, 2 white tiles, 5 black tiles
Prob (selecting a red tile) = Favourable outcome (red tiles) / Total Outcomes (total tiles) = 3 / 10 = 0.3
Similarly, prob (white tile) & prob (black tile) = 2/10 ie 0.2 & 5/10 ie 0.5 respectively
The value of the given trigonometry function is 2√15/15
<h3>Half angles</h3>
Half angles are trigonometric identities used to express sine, cosine and tangent of half angles.
For instance the value of cos theta is expressed as shown below;
cosФ = cos(Ф/2+Ф/2)
cosФ = cos²Ф/2-sin²Ф/2
cosФ = cos²Ф/2-(1-cos²Ф/2)
cosФ = 1 - 2cos²Ф/2
Given the following parameters
cosФ = -7/15
Substitute
cosФ = 1 - 2cos²Ф/2
-7/15 = 1 - 2cos²Ф/2
-2cos²Ф/2 = -7/15 - 1
-2cos²Ф/2 = -8/15
cos²Ф/2 = 4/15
cosФ/2 = 2/√15
Rationalize
2/√15 * √15/√15
2√15/15
Hence the value of the given trigonometry function is 2√15/15
Learn more on trigonometry function here: brainly.com/question/2254074
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