Step-by-step explanation:
The simplest possible form of f(n) is:
f(n) = n² + bn + c
f(n) / (n + 1) has a remainder of -12, so:
n² + bn + c = (n + p) (n + 1) − 12
n² + bn + c = n² + (1 + p)n + p − 12
b = 1 + p and c = p − 12
f(n) / (n + 2) has a remainder of -24, so:
n² + bn + c = (n + q) (n + 2) − 24
n² + bn + c = n² + (2 + q)n + 2q − 24
b = 2 + q and c = 2q − 24
Setting the expressions equal:
1 + p = 2 + q and p − 12 = 2q − 24
1 = p − q and p = 2q − 12
Solving the system of equations:
1 = q − 12
q = 13
p = 14
b = 15, c = 2
Therefore, f(n) is:
f(n) = n² + 15n + 2
Using grouping:
f(n) = n² + 3n + 2 + 12n
f(n) = (n + 1) (n + 2) + 12n
f(n) / ((n + 1) (n + 2) = 1 + (12n) / ((n + 1) (n + 2))
The remainder is 12n.
The interquartile range (IQR) is a measure of inconstancy, in light of partitioning an informational collection into quartiles. Quartiles isolate a rank-requested informational collection into four a balance of. The qualities that gap each part are known as the primary, second, and third quartiles; and they are signified by Q1, Q2, and Q3, individually.
Where as, measures of spread portray how comparable or changed the arrangement of watched esteems are for a specific variable (information thing). Measures of spread incorporate the range, quartiles and the interquartile range, difference and standard deviation.
Answer:
I would say 85, since 85 would be the median of the three points or 8 hours of studying. I hope this helps! :)
3/4 I think I’m not for sure