2/5 is bigger and 3/8 is smaller
The first month has the equation raised to 11 which is the number of months left in the period.
So each month the equation would be the same except it would be raised to 1 less than the previous month.
Month 2 = 50(1.003)^10
Month 3 = 50(1.003)^9
Month 4 = 50(1.003)^8
Month 5 = 50(1.003)^7
Month 6 = 50(1.003)^6
Month 7 = 50(1.003)^5
Month 8 = 50(1.003)^4
Month 9 = 50(1.003)^3
Month 10 = 50(1.003)^2
Month 11 = 50(1.003)^1
Month 12 = 50(1.003) ( the last month would not be raised to anything)
Answer:
7. combination; 25C6 = 177100
8. combination; 15C5 = 3003
Step-by-step explanation:
7. The order of the committee member selections is not important. (It would be if specific people filled specific positions on the committee.) Hence, the number is a number of combinations of 25 people taken 6 at a time.
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8. The order of players is not important, as it might be if specific choices filled specific positions on the team. (The problem statement gives no indication that is the case. It is only by our knowledge of basketball teams that we entertain the possibility that order might be important.) Hence, the number is a number of combinations of 15 people taken 5 at a time.
_____
Of course, nCk = n!/(k!(n-k)!)
Answer:
He needs to score below 68.88 in order to advance to the next round
Step-by-step explanation:
Z-score
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
He needs to score below what value in order to advance to the next round?
Below the 20th percentile, so below the value of X when Z has a pvalue of 0.20. So it is X when 
He needs to score below 68.88 in order to advance to the next round
