A regular decagon has 10 sides. How many reflectional symmetries does a regular decagon have? 5 10 15 20
2 answers:
Answer:- In a regular decagon, there are 10 reflectional symmetries.
Reflectional symmetry or Line of symmetry divides a figure into two equal halves so that if you flip the half image over the line of symmetry, the figure would look same.
A regular decagon has 10 vertices and 10 edges.
where 10 vertices forms 5 lines of symmetry.
and 10 edges forms 5 lines of symmetry.
⇒Total lines of symmetry in a decagon =5+5= 10
Thus, In a regular decagon, there are 10 reflectional symmetries.
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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.