For every
, we have

So, negletting the first term, each term of the sum is greater than 1, which implies

Which means that the series diverges.
Answer:
0.46017
Step-by-step explanation:
Given :
Mean score = 75
Standard deviation, s = 10
Areum's score = 76
Probability of scoring higher than Areum is given by :
P(x > 76)
The standardized score : (x - mean) / standard deviation
P(x > 76) = P[Z > (76 - 75) / 10]
P[(Z > 0.1)] = 0.46017 (Z probability calculator)
= 0.46017
Answer:
(d) -15
Step-by-step explanation:
Given system of equations are:
Since, given system of equations have no solution.

Answer:
8 + k² - 6 > 8(k + 2) - 4k when k = 7
Step-by-step explanation:
8 + k² - 6 = 8 + 7² - 6 = 51
8(k + 2) - 4k = 8(7 + 2) - 4(7) = 8(9) - 28 = 44
8 + k² - 6 > 8(k + 2) - 4k when k = 7