The average height of a barometer during one week was 30.84 inches. For six weeks days of the same week the average height was 30.18 inches. What was the height on Sunday?
Show workings
What ever do it yourself and I will know if you did it yourself or else I will hack you and I am not joking.
Average height for the week = (30.84 + 30.18) / 2 = 30.51 inches
Height on Sunday = (30.51 x 7) - (30.18 x 6) = 31.22 inches
To find the height on Sunday, we need to first find the total height of the barometer during the week. We know that the average height for the week was 30.84 inches and there are seven days in a week.
Total height for the week = Average height * Number of days
Total height for the week = 30.84 inches * 7 days
Total height for the week = 215.88 inches
Next, we need to subtract the total height for the six weekdays to find the height on Sunday. We know that the average height for the six weekdays was 30.18 inches.
Total height for the six weekdays = Average height for weekdays * Number of weekdays
Total height for the six weekdays = 30.18 inches * 6 days
Total height for the six weekdays = 181.08 inches
Height on Sunday = Total height for the week - Total height for the six weekdays
Height on Sunday = 215.88 inches - 181.08 inches
Height on Sunday = 34.8 inches
Therefore, the height on Sunday was 34.8 inches.
To find the height on Sunday, we need to subtract the average height of the six weekdays from the average height during the entire week.
Let's call the height on Sunday "H".
Average height during the week = 30.84 inches
Average height during the six weekdays = 30.18 inches
We can set up the equation:
(6 * 30.18) + H = 7 * 30.84
Multiply 6 by 30.18:
181.08 + H = 7 * 30.84
Multiply 7 by 30.84:
181.08 + H = 215.88
Now, isolate H by subtracting 181.08 from both sides of the equation:
H = 215.88 - 181.08
Perform the subtraction:
H = 34.8 inches
Therefore, the height on Sunday was 34.8 inches.