Answer:
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- <u><em>Event A: 1/35</em></u>
- <u><em>Event B: 1/840</em></u>
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Explanation:
<u>Event A</u>
For the event A, the order of the first 4 acts does not matter.
The number of different four acts taken from a set of seven acts, when the order does not matter, is calculated using the concept of combinations.
Thus, the number of ways that the first <em>four acts</em> can be scheduled is:


And<em> the number of ways that four acts is the singer, the juggler, the guitarist, and the violinist, in any order</em>, is 1: C(4,4).
Therefore the<em> probability of Event A</em> is:

Event B
Now the order matters. The difference between combinations and permutations is ordering. When the order matters you need to use permutations.
The number of ways in which <em>four acts </em>can be scheculed when the order matters is:


The number of ways <em>the comedian is first, the guitarist is second, the dancer is third, and the juggler is fourth</em> is 1: P(4,4)
Therefore, <em>the probability of Event B</em> is:

1 ) cot x * sin x = cos x
(cos x / sin x) * sin x = cos x
cos x = cos x
Answer: B ) cot x = cos x / sin x
2 ) ( sin² x + cos² x ) / cos x = sec x
1/cos x = sec x
sec x = sec x
Answer: C ) cos² x + sin² x = 1
3/8 divided by 4/5 is the same as 3 * 5 / 8 * 4 = 15/32 or 0.46875
Answer:
For the reasons mentioned in the explanation section, it is indeed a weak generalization:
Step-by-step explanation:
- No, there is not enough data provided on certain subjects' age, socioeconomic status, etc. that may have influenced the investing decision.
- No, the survey isn't random, the study is irregular because each has a fair probability of expressing their true beliefs, here in this query it's written they've been told individuals are given actual medication, which may have contributed to the Hawthorne studies giving incorrect outcomes.
- No, the amount isn't sufficient mostly on the premise of 28 subject areas with be provided oxytocin, and therefore only one test being performed should we not be able to determine the results to implement for certain persons including billions of populace, it would be a hurried generalization.