Answer:
5.34 x 10^-2
Step-by-step explanation:
Using binomial distribution where success is the appearing of any of the top 10 most common names, thus probability of success (p) is 9.6% = 0.096 and the probability of failure = 1 - 0.096 = 0.904. Number of trials is 11.
Binomial distribution probability is given by P(x) = nCx (p)^x (q)^(n - x)
Probability that none of the top 10 most common names appears is P(0) = 11C0 (0.096)^0 (0.904)^(11 - 0) = (0.904)^11 = 0.3295
Thus, the probability that at least one of the 10 most common names appear is 1 - 0.3295 = 0.6705
Therefore, I will be supprised that none of the names of the authors were among the 10 most common names given that the probability that at least one of the names appear is 67%.
9514 1404 393
Answer:
15.71 units
Step-by-step explanation:
The arc length is given by the formula ...
s = rθ
where r represents the radius, and θ represents the central angle in radians.
The angle of 60° is π/3 radians, so the arc length is ...
s = 15(π/3) = 5π ≈ 15.71 . . . units
LN ≈ 15.71 units
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<em>Note</em>: if you use 3.14 for π, you will get 15.70.
Answer:
i have no idea
Step-by-step explanation:
Law of sines can be used to solve this problem:
(note - let x represent the missing side length.)
1. set up proportion.
sin 90°/25 = sin 55<span>°/x
2. solve.
(x) sin 90</span>° = (25) sin 55<span>°
(x) sin 90 </span>°/sin 90° = (25) sin 55° / sin 90<span>°
</span>
x = 20.4788011072
rounded to nearest tenth = 20.5
