The number of non-blue marbles you need to combine with the blue marbles to achieve a probability of 0.1 is 28.
<h3>How many non-blue marbles are needed?</h3>
Probability determines the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The more likely the event is to happen, the closer the probability value would be to 1. The less likely it is for the event not to happen, the closer the probability value would be to zero.
Probability of picking a blue marble = number of blue marble / total number of marbles
4 / (4 + 8)
4/12 = 0.33
The number of non-blue marbles needed = ( 4 / 0.1) - 12
40 - 12 = 28
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Answer:
The appropriate null hypothesis is 
The appropriate alternative hypothesis is 
Step-by-step explanation:
Exactly a year prior to this poll, in June of 2004, it was estimated that roughly 1 out of every 4 U.S. adults believed (at that time) that the war in Iraq was the most important problem facing the country.
At the null hypothesis, we test if the proportion is still the same, that is, of
. So

We would like to test whether the 2005 poll provides significant evidence that the proportion of U.S. adults who believe that the war in Iraq is the most important problem facing the U.S. has decreased since the prior poll.
Decreased, so at the alternative hypothesis, it is tested if the proportion is less than 0.25, that is:

Answer:
10,471.2042
Step-by-step explanation:
Tbh Im not too sure
8 and 7 are both a factor of 56.
The Answer is 21 because 7 and 3 can go in it as well