Answer:
The function will be: f(n) = 2n
Step-by-step explanation:
An arithmetic sequence is a sequence where the common difference between consecutive terms is same
The sequence according to given information is:
2,4,6...
Here
a_1 = 2
a_2 = 4
a_3 = 6
the common difference will be:

The arithmetic sequence is given by:

Putting the values

Hence,
The function will be: f(n) = 2n
Answer:
Step-by-step explanation:
Given data:

standard deviation is 
As distribution is normal in shape and values are symmetrical
The standard deviation rule says that 95% of observation lies between the second standard deviation of the mean
so, approximately only 5% of observation lies outside the interval and normal shape is symmetric. hence approximately 0.15% of observation lies above the interval


almost 0.15% of students spent more amount is 529
If there is one sheep for every 2 goats then that means there are 400 goats and 200 sheep.
Answer:
329/9, the answer seems wrong but I triple checked because I thought so too. The answer is 100% correct
Step-by-step explanation:
Angle EFG + Angle FGH + Angle GEF = 180 degrees
(2x+1) + (6x+2) + (x + 19) = 180 degrees
9x + 22 = 180 degrees
9x = 158 degrees
x= 158/9
x+19 = Angle GEF
158/9 + 19 = Angle GEF
329/9 =Angle GEF
Double check:
(2x+1) + (6x+2) + (x + 19), x=158/9
2(158/9) + 1 = 325/9
6(158/9) +2 = 322/3
(158/9) +19 = 329/9
325/9 + 322/3 + 329/9 = 180
I'm assuming this is a Pythagorean theorem problem. If so the answer would be √125