Percent increase from 2000 to 2001 is 12% and from 2001 to 2002 is 12.6%. Thus period of 2001 to 2002 has higher increase percentage.
Solution:
Given that,
Total circulation of local newspaper in 2000 = 3250
Total circulation of local newspaper in 2001 = 3640
Total circulation of local newspaper in 2002 = 4100
As we can see 12% < 12.6%
So period of 2001 to 2002 has higher increase percentage.
Answer:
a) 0.3520
b) 0.9884
c) 0.1292
d) 0.1292
e) 0.7648
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
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.
In this problem, we have that:
The expected project completion time for the construction of a pressure vessel is 18 months. So .
And the project variance is 7. The standard deviation is the square root of the variance, so .
a) What is the probability that the project will require at least 19 months?
The pvalue of the zscore of is the probability that the project will require less than 19 months. So the probability that the project will require at least 19 months is the subtraction of 1 by this pvalue.
The pvalue of Z = 0.38 is 0.6480.
So the probability that the project will require at least 19 months is 1 - 0.6480 = 0.3520.
b) What is the probability that the project will be completed within 24 months?
This is the pvalue of the zscore of X = 24.
The pvalue of Z = 2.27 is .9884. This means that the probability that the project will be completed within 24 months is .9884.
c) What is the probability that the project will require at least 21 months?
Same logic as a). We find the pvalue of the zscore of X = 21, then we subtract 1 by this value.
The pvalue of Z = 1.13 is 0.8708.
So the probability that the project will require at least 21 months is 1 - 0.8708 = 0.1292.
d) What is the probability that the project will be completed within 15 months?
Same logic as b). This is the pvalue of the zscore of X = 15.
The pvalue of Z = -1.13 is .1292. This means that the probability that the project will be completed within 15 months is .1292.
e) What is the probability that the project will take between 16 and 24 months to complete?
This is the pvalue of Z = 24 subtract by the pvalue of Z = 16.
In b), we found that the pvalue of Z = 24 is .9884
Now we find the pvalue of Z = 16
The pvalue of Z = -0.76 is 0.2236
So the probability that the project will take between 16 and 24 months to complete is 0.9884 - 0.2236 = 0.7648
Hey there!
Here is your question -
In this equation, you're looking for n alone. To keep the variable alone, you have to do the opposite of what's happening to the variable.
In this equation, 12 is being added to n. The opposite of that is subtracting 12.
Subtract 12 from both sides -
Your answer is -8.
Hope this helps! :)