Answer:
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Step-by-step explanation:
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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
Answer:
120
Step-by-step explanation:
3x² - 8x > 11
3x² - 8x - 11 > 11 - 11
3x² - 8x - 11 > 0
x > <u>-(-8) +/- √((-8)² - 4(3)(-11))</u>
2(3)
x > <u>8 +/- √(64 + 132)</u>
6
x ><u> 8 +/- √(196)
</u> 6
x > <u>8 +/- 14</u>
6
x > <u>8 + 14</u> x > <u>8 - 14</u>
6 6
x > <u>20</u> x > <u>-6</u>
6 6
x > 3.33 x > -1
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