Answer:
A: Since disjoint, P(up AND up AND up) = P(up) P(up) P(up) = .653= .27
A: Disjoint, so previous years have no effect on this year. 1-.65 = .35
A: Same direction; two different probabilities. P(up AND up) = .652 = .42. P(down AND down) = .352= .12. .42 + .12 = .55
Step-by-step explanation:
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Answer:
II and II only.
Step-by-step explanation:
The first series converges because the common ratio r is 0.8 (<1).
II diverges as |r| > 1.
III is an alternating series with r = -4 - that is |r| = 4 so it diverges.
Answer: 33 days.
Step-by-step explanation:
Given :- Camryn practices the trumpet every 11th day and the flute every 3rd day.
Camryn practiced both the trumpet and the flute today.
To find the number of days until Camryn practices the trumpet and flute again in the same day, we need to find the least common multiple (L.C.M.) of 11 and 3.
As they both are co-prime numbers thus its L.C.M.= 11×3=33
Therefore, Camryn practices the trumpet and flute again in the same day after 33 days.
