Hello,
Answer D -3<x<27
Indeed:
1)
if x-12≥0 then x≥12 and
|x-12|=x-12x-12<15 → x<27
so 12≤x<27
2) if x-12<0 then
x<12 and|x-12|=-(x-12)<15
-x+12<15-x<3 → x>-3
So -3<x<12
Thus -3<x<12 U 12≤x<27 ⇔ -3<x<27
Answer:
13 ? hiiiiiiiiiiiiijjjjjjjjjjjjjjjjjkuuuu
29.37 rounds to 29
109.96 rounds to 110
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The rule is that if the decimal portion is 0.50 or higher, then you round up. Otherwise you round down.
Answer:
Then the probability that 14 of the 19 voters will prefer Candidate A is approximately 0.1928 or 19.28%
Step-by-step explanation:
We can define X the random variable of interest "number of voters that will prefer Candidate A", since we have a sample size given and a probability of success we can use the binomial distribution to model the random variable. And on this case we can assume the following distribution:
The probability mass function for the Binomial distribution is given by:
Where (nCx) means combinatory and it's given by this formula:
For this problem we want to find this probability:

And usign the probability mass function defined before we got:
Then the probability that 14 of the 19 voters will prefer Candidate A is approximately 0.1928 or 19.28%