Answer:
180
Step-by-step explanation:
the angles in a triangle will always add up to 180º because 180º is equal to a straight/flat line.
Answer:
Step-by-step explanation:
Probability of an event occurring is the ratio of the number of time the event occur over the total sample space
Total sample space is 504 ways
Now, the event that you win the first prize and your mum wins the second price, can only occur in one way, their is no other way it can occur
Therefore,
Pr(you win first prize and your mom wins second prize) = 1 / 504
So, the correct answer is C.
Answer:
12.000
Step-by-step explanation:
40000x6= 240000/100= 2400x5
Answer:
There is a 25.52% probability of observating 4 our fewer succesful recommendations.
Step-by-step explanation:
For each recommendation, there are only two possible outcomes. Either it was a success, or it was a failure. So we use the binomial 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.
In this problem we have that:

If the claim is correct and the performance of recommendations is independent, what is the probability that you would have observed 4 or fewer successful:
This is

In which







There is a 25.52% probability of observating 4 our fewer succesful recommendations.
Step-by-step explanation:
1st question
a)AB=-a+b=b-a
b)OC=a+b-a+3/2(b-a)=b+3/2b-3/2a=5/2b-3/2a=(5b-3a)/2
2nd question
a)CA=2a
b)AB=-a+b=b-a
c)BC=-b-a