There are 34 balls in a bucket. The balls are numbered from 1 to 34. One ball is randomly selected from the bucket. What is the
2 answers:
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The cosine of an angle is the x-coordinate of the point where its terminal ray intersects the unit circle. So, we can draw a line at x=-1/2 and see where it intersects the unit circle. That will tell us possible values of θ/2.
We find that vertical line intersects the unit circle at points where the rays make an angle of ±120° with the positive x-axis. If you consider only positive angles, these angles are 120° = 2π/3 radians, or 240° = 4π/3 radians. Since these are values of θ/2, the corresponding values of θ are double these values.
a) The cosine values repeat every 2π, so the general form of the smallest angle will be
... θ = 2(2π/3 + 2kπ) = 4π/3 + 4kπ
b) Similarly, the values repeat for the larger angle every 2π, so the general form of that is
... θ = 2(4π/3 + 2kπ) = 8π/3 + 4kπ
c) Using these expressions with k=0, 1, 2, we get
... θ = {4π/3, 8π/3, 16π/3, 20π/3, 28π/3, 32π/3}
Since they are independent events to find the probability of both is P(A) * P(B)
P(A) = P(Heads) =
P(B) = P(Roll ≥ 4) =
Now multiply those fractions together
= P(Heads & ≥ 4)
P(A) = P(Heads) =
P(B) = P(Roll ≥ 4) =
Now multiply those fractions together
Answer:
it is correct
Step-by-step explanation:
shown above in the photo
