A pizza has a diameter of 14 inches each piece has a central angle of 30° what is the distance around the outside of the crust t
he arc length
1 answer:
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Answer:
The stock price beyond which 0.05 of the distribution fall is $12.44.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions 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.
Mean of $8.52 with a standard deviation of $2.38
This means that
The stock price beyond which 0.05 of the distribution fall is
This is the 100 - 5 = 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.
The stock price beyond which 0.05 of the distribution fall is $12.44.
a) He will earn $584 for working 36 hours.
b) He will earn $656 for working 39 hours.
c) He will earn $728 for working 42 hours.
Step-by-step explanation:
Amount per hour = $16
Time and a half means 1.5 times more than the original payment.
Therefore, above 35 hours, the earning for one hour,
Extra time per hour = 16*1.5 = $24
A) 36 h
For the first 35 hours, he will get $16 per hour, therefore,
Amount of 35 hours =
Amount of one hour = $24 (as calculated above)
Total = 560+24 = $584
He will earn $584 for working 36 hours.
B) 39 h
39 h = 35h + 4h
Amount of 35 hours = $560
Amount of extra 4 hours = $24*4 = $96
Total = 560+72 = $656
He will earn $656 for working 39 hours.
C) 42 h
42 h = 35h + 7h
Amount of 35 hours = $560
Amount of extra 7 hours = 24*7 = $168
Total = 560+168 = $728
He will earn $728 for working 42 hours.
Keywords: addition, multiplication
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