I need help with #4 plzz
2 answers:
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Answer:
68.26% probability that the number of jobs finished on time is within 1 standard deviation of the mean.
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.
Looking at a random sample of 8 jobs that it has contracted, find the probability that x (number of jobs finished on time) is within one standard deviation of the mean.
Within 1 standard deviation of the mean is from Z = -1 to Z = 1. So this probability is the pvalue of Z = 1 subtracted by the pvalue of Z = -1.
Z = 1 has a pvalue of 0.8413
Z = -1 has a pvalue of 0.1587
So there is a 0.8413 - 0.1587 = 0.6826 = 68.26% probability that the number of jobs finished on time is within 1 standard deviation of the mean.
Answer:
a)
b)
c)
Step-by-step explanation:
A tank has the format of a cylinder.
The volume of the cylinder is given by:
In which r is the radius and h is the heigth.
The problem states that the diameter is measured to be 15.00 ft. The radius is half the diameter. So, for this tank
ft
The height of the tank is 22 ft, so .
a) Volume of the tank in :
b) Volume of the tank in :
We must convert both the radius and the height to m.
Each feet has 0.30 m, so:
Radius:
1 feet - 0.30m
7.5 feet - r m
Height
1 feet - 0.30m
22f - h m
The volume is:
c) Volume of the tank in :
Each m has 100 cm.
So
The volume is: