What is the inverse of the conditional statement " If a number is divisible by 6, then it is divisible by 3"?
2 answers:
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Answer:
The equation can be used to find m, the midpoint of the
two numbers is:
Step-by-step explanation:
Two numbers are 10 units away in different directions from their midpoint, m, on a number line.
Then, we can define the two numbers as:
The product of the numbers is -99. This can be written as:
Answer:
a)0.62% probability that total sick leave for next month will be less than 150 hours.
b) 225.6 hours should be budgeted for sick leave if that amount is to be exceeded with a probability of only 0.10.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
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:
a.Find the probability that total sick leave for next month will be less than 150 hours.
This probability is the pvalue of Z when X = 150. So:
has a pvalue of 0.0062.
So there is a 0.62% probability that total sick leave for next month will be less than 150 hours.
b.In planning schedules for next month, how much time should be budgeted for sick leave if that amount is to be exceeded with a probability of only 0.10.
This is the value of X when Z has a pvalue of 0.90. So
225.6 hours should be budgeted for sick leave if that amount is to be exceeded with a probability of only 0.10.