Waldo and Freddy caught fish one weekend. The dot plots show the lengths of the fish they caught.
1 answer:
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Answer:
There is a 25.92% probability that exactly 4 of the selected adults believe in reincarnation.
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they believe in reincarnation, or they do not believe. This means that we can solve this problem using the binomial probability distribution.
Binomial probability distribution:
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem
There are 5 adults, so
60% believe in reincarnation, so
What is the probability that exactly 4 of the selected adults believe in reincarnation?
This is P(X = 4).
There is a 25.92% probability that exactly 4 of the selected adults believe in reincarnation.
Answer:
(x) =
Step-by-step explanation:
let y = 2x
Rearrange making x the subject
divide both sides by 2
= x
changing y back into terms of x
(x) =
Hi there!
**Recall that tangent is Opposite / Adjacent**
tan (5π / 6) according to the unit circle equals -1 / √3. We can go through each choice and eliminate:
- tan (-5π / 6) is in the third quadrant which would mean that the value would be positive 1 / √3. This choice is incorrect.
- tan (7π / 6) is the same as tan (-5π / 6), which is positive 1 / √3. This choice is incorrect.
- cot (5π / 6) is the reciprocal of tan 5π / 6, which is incorrect.
- tan (-π / 6) is equal to -1 / √3. This choice is correct.
Therefore, the correct choice is tan (-π / 6).