Answer:
-4 ≤ x <7
x is greater than or equal to -4, and x is less than 7
Step-by-step explanation:
Take each side and solve
-12 ≤ 2x -4
subtract 4 on both sides
-8 ≤ 2x
divide by 2 on both sides
-4 ≤ x
2x -4 < 10
add 4 on both sides
2x < 14
divide by two on both sides
x < 7
Final answer:
-4 ≤ x <7
Answer:
Salary: $90,500
Step-by-step explanation:
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:
An employee was having their annual appraisal and the manager indicated that the employee salary for next year has a Z-score of 1.24. Approximately how much will this employee be paid next year in salary?
This is X when . So
Rouded to the nearest hundred of dollars:
Salary: $90,500
The answer would be 81.2 because all you gotta do it 20.3 times 4
Fred's overtime rate and pay is $17.925 and $98.5875 respectively
<h3>Total payment</h3>
- Amount paid per hour = $11.95
- Amount paid overtime per hour = $11.95 × 1.5
= $17.925
- Total hours worked last week = 45 1/2 hours
- Overwork time = 45 1/2 hours - 40 hours
= 5 1/2 hours
Fred's overtime pay = 5 1/2 hours × $17.925
= 11/2 × 17.925
= $98.5875
Normal work rate = 40 hours × $11.95
= $478
Fred's total pay = Fred's overtime pay + Normal work rate
= $98.5875 + $478
= $576.5875
Therefore, Fred's total pay is $576.5875
Learn more about total pay:
brainly.com/question/2021001
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