1.| The average annual railfall for a town is 43.2 inches.
A.what is the average. Monthly rainfall?
B.|the difference of a given month's rainfall from the average monthly rainfall s called the deviation for each month shown?
Town's Rainfall in last three months
[Month] may| june| july|
[Rain (in.)]2 3/5|7/8 |4 1/4
C.|The average monthly rainfall for the previous 9 months was 4 inches. Did the town exceed its average annual rainfall? If so,by how much?
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A. To find the average monthly rainfall, you need to divide the total annual rainfall by the number of months. In this case, the average annual rainfall is given as 43.2 inches, which covers a period of 12 months.
So, the average monthly rainfall is calculated as: 43.2 inches / 12 months = 3.6 inches per month.
B. To calculate the deviation of each month's rainfall from the average monthly rainfall, you subtract the average monthly rainfall from the rainfall of each specific month.
Deviation for May: 2 3/5 inches - 3.6 inches = -1/5 inch
Deviation for June: 7/8 inch - 3.6 inches ≈ -2.725 inches
Deviation for July: 4 1/4 inches - 3.6 inches = 0.65 inches
C. In order to determine if the town exceeded its average annual rainfall, you need to calculate the total rainfall for the previous 9 months and compare it with the average annual rainfall of 43.2 inches.
Total rainfall for the previous 9 months is given as 4 inches per month, so:
9 months * 4 inches per month = 36 inches.
Since 36 inches is less than the average annual rainfall of 43.2 inches, the town did not exceed its average annual rainfall. The difference between the total rainfall for the previous 9 months and the average annual rainfall is:
43.2 inches - 36 inches = 7.2 inches.
A. To find the average monthly rainfall, you need to divide the average annual rainfall by the number of months in a year. Since there are 12 months in a year, you can divide the average annual rainfall (43.2 inches) by 12 to get the average monthly rainfall.
Average Monthly Rainfall = Average Annual Rainfall / Number of Months
Average Monthly Rainfall = 43.2 inches / 12 months
Average Monthly Rainfall = 3.6 inches
So, the average monthly rainfall for the town is 3.6 inches.
B. The deviation of a given month's rainfall from the average monthly rainfall is the difference between the given month's rainfall and the calculated average monthly rainfall. Let's calculate the deviations for the last three months:
May's Deviation = May's Rainfall - Average Monthly Rainfall
May's Deviation = 2 3/5 inches - 3.6 inches
May's Deviation = -1/10 inches
June's Deviation = June's Rainfall - Average Monthly Rainfall
June's Deviation = 7/8 inches - 3.6 inches
June's Deviation = 5/8 inches
July's Deviation = July's Rainfall - Average Monthly Rainfall
July's Deviation = 4 1/4 inches - 3.6 inches
July's Deviation = 5/4 inches
So, the deviations for the last three months are as follows:
May's Deviation = -1/10 inches
June's Deviation = 5/8 inches
July's Deviation = 5/4 inches
C. To determine if the town exceeded its average annual rainfall, you need to calculate the total rainfall for the previous 9 months and compare it to the average annual rainfall.
Total Rainfall for Previous 9 Months = (May's Rainfall + June's Rainfall + July's Rainfall) + (Average Monthly Rainfall * 6 months)
Total Rainfall for Previous 9 Months = (2 3/5 inches + 7/8 inches + 4 1/4 inches) + (3.6 inches * 6 months)
Now, we can calculate:
Total Rainfall for Previous 9 Months = 2 3/5 inches + 7/8 inches + 4 1/4 inches + 3.6 inches * 6
Total Rainfall for Previous 9 Months = 13/5 inches + 7/8 inches + 17/4 inches + 21.6 inches
Total Rainfall for Previous 9 Months = (104 + 35 + 85 + 21.6) / 8 inches
Total Rainfall for Previous 9 Months = 245.6 / 8 inches
Total Rainfall for Previous 9 Months = 30.7 inches
Now, let's compare the total rainfall for the previous 9 months to the average annual rainfall.
Excess Rainfall = Total Rainfall for Previous 9 Months - Average Annual Rainfall
Excess Rainfall = 30.7 inches - 43.2 inches
Since the result is negative (-12.5 inches), it means that the town did not exceed its average annual rainfall. The town received 12.5 inches less than its average annual rainfall.