Answer:
land on 3: 36 times
land on 4: 63 times
Step-by-step explanation:
A biased dice is the opposite of a fair dice.
A fair dice has the same probability of landing any of the six numbers: 1/6
The biased dice has different probabilities for its results.
To solve this question, first we need to find the probability of landing a 3.
The sum of all probabilities need to be 1, so:
0.13 + 0.05 + p(3) + 0.21 + 0.19 + 0.3 = 1
p(3) = 1 - 0.88 = 0.12
If we roll the dice 300 times, the expected number of times the dice will land:
on 3: 300 * p(3) = 300 * 0.12 = 36 times
on 4: 300 * p(4) = 300 * 0.21 = 63 times
Angles in a triangle add up to 180 degrees.
All angles in an equilateral triangle have equal values
Both angle x and y equal 60 degrees.
Using trigonometric ratio, the value of x is 63.6°
<h3>Trigonometric Ratio</h3>
This is the ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.
Trigonometric ratio are often coined as SOHCAHTOA
In the given triangle, we need to find the value of x using trigonomtric ratio.
Since we have the value of adjacent and hypothenuse, we definitely need to use cosine
cosθ = adjacent / hypothenuse
adjacent = 4
hypothenuse = 9
Substituting the values into the equation;
cos θ = 4 / 9
cos θ = 0.444
θ = cos⁻¹ 0.4444
θ = 63.6°
Learn more on trigonometric ratio here;
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Answer:
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Step-by-step explanation:
