Which is the solution set of the compound inequality 3.5 x minus 10 greater-than negative 3 and 8 x minus 9 less-than 39 Negativ
2 answers:
Answer:
2 less-than x less-than 6
Step-by-step explanation:
we have
-----> inequality A
Adds 10 both sides
Divide by 3.5 both sides
The solution of the inequality A is the interval (2,∞)
----> inequality B
Adds 9 both sides
Divide by 8 both sides
The solution of the inequality B is the interval (-∞,6)
therefore
The solution set of the compound inequality is
(2,∞) ∩ (-∞,6)=(2,6)
2 less-than x less-than 6
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Answer:
Due to the higher z-score, David has the higher standardized score
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.
Which student has the higher standardized score
Whoever had the higher z-score.
David:
Scores on Ms. Bond's test have a mean of 70 and a standard deviation of 11. David has a score of 52 on Ms. Bond's test. So
Steven:
Scores on Ms. Nash's test have a mean of 64 and a standard deviation of 6. Steven has a score of 52 on Ms. So
Due to the higher z-score, David has the higher standardized score