X-12 +5x=90
That’s the set up
Let me know if you need more help
Answer:
Mark must score at least 11 points to have an average of 10 points per game.
Step-by-step explanation:
The average of a set of data is its sum, divided by the number of data points in the set. If p is the number of points Mark scores in his next game, and he wants his average at least 10, then the relation is ...
(12 +14 +10 +8 +5 +p)/6 ≥ 10
49 +p ≥ 60 . . . . . . . . . multiply by 6 and simplify
p ≥ 11 . . . . . . . . . . . subtract 49
Mark must score at least 11 points in the next game to average at least 10 points per game.
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<em>Additional comment</em>
Sometimes, it is convenient to work with the average directly. Relative to the average Mark wants (10), his scores so far are +2, +4, 0, -2, -5, for a total of -1. In order to bring the average to the value Mark wants, he must bring this total to 0 or higher. That is, he must score at least 10+1 = 11 points in his next game.
Samuel exercises for 100 minutes each day. Or in other words, 1 hour and 40 minutes.
A. The scores in order are: 10, 12, 13, 14, 14, 16, 18, 23, 24, 26. The range is 26 - 10 = 16. The mean is the sum divided by 10, which is 17. The median is between 14 & 16, which is 15. The mode is 14, since it is repeated twice.
B. The variance is calculated by subtracting each score from the mean, squaring, and adding all such squares. Then divide by the number of terms (10) to get 27.6 Take the square root to get the standard deviation, which is 5.25.
C. This is for a population, since these are all 10 games that Jason played. (If it were a sample, we would divide by 9 only)
D. The mean of 17 is higher than the median of 15 and the mode of 14. This implies a left-skewed distribution. However, the SD of 5.25 is quite high relative to the mean of 17, so the distribution is not that clearly defined yet (more data points would make it clearer).
Answer:
50%
Step-by-step explanation:
duhh, sorry this one just very obvious