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2 answers:
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Answer:
17.80% probability that all of them are wearing their seat belts.
Step-by-step explanation:
For each driver stopped, there are only two possible outcomes. Either they are wearing their seatbelts, or they are not. The drivers are chosen at random, which mean that the probability of a driver wearing their seatbelts is independent from other drivers. So we use the normal probability distribution to solve this problem.
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 combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Police estimate that 25% of drivers drive without their seat belts.
This means that 75% wear their seatbelts, so
If they stop 6 drivers at random, find the probability that all of them are wearing their seat belts.
This is .
17.80% probability that all of them are wearing their seat belts.
Answer:
Step-by-step explanation:
tan is defined as:
sin is defined as:
cos is defined as:
We can also define tan as:
because plugging in the definitions of sin and cos in we get:
which you'll notice is the original definition of tan(x)
So using this definition of tan(x) we can use the givens sin(x) and cos(x) to find tan(x)
plugging in sin(x) and cos(x) we get:
We usually don't like square roots in the denominator, and from here we want to rationalize the denominator which we do by removing the square root from the denominator.
We can do this by multiplying the fraction by: which doesn't change the value of the fraction since it simplifies to 1, but it gets rid of the square root in the denominator