9514 1404 393
Answer:
x = 7
Step-by-step explanation:
The equation can be rewritten to ...
8x = 13n +4 . . . . for some integers x and n
x = (13n +4)/8
For x to be an integer, 13n must be an odd multiple of 4. Since 13 is an odd number, n=4 will do.
x = (13·4 +4)/8 = 56/8
x = 7
__
The graph shows a "trial and error" method of solution. Only values of x less than 13 need to be examined.
Answer:
Binomial
There is a 34.87% probability that you will encounter neither of the defective copies among the 10 you examine.
Step-by-step explanation:
For each copy of the document, there are only two possible outcomes. Either it is defective, or it is not. 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
Of the 20 copies, 2 are defective, so .
What is the probability that you will encounter neither of the defective copies among the 10 you examine?
This is P(X = 0) when .
There is a 34.87% probability that you will encounter neither of the defective copies among the 10 you examine.