Answer:
∑ₙ₌₁⁸ (3n − 9)
Step-by-step explanation:
This is an arithmetic series where the first term is -6 and the common difference is 3. The nth term can be written as:
aₙ = a₁ + d (n − 1)
aₙ = -6 + 3 (n − 1)
There are 8 terms in this series, so the sum is:
∑ₙ₌₁⁸ [-6 + 3 (n − 1)]
Simplified:
∑ₙ₌₁⁸ (3n − 9)
Answer:
A
Step-by-step explanation:
The national gov protects/is responsible for maintaing security and stability like of which protecting our rights.
Since someone answered wrongly I'll try to give the correct answer without the given xs. It won't matter. We're looking for a set of points which satisfy
y = f(x) = x² + 3
A. f(7)=7² + 3 = 52, not -2, so not A.
B. f(-2)=(-2)² + 3 = 7, not 1, so not B
C. f(-2)=7, that's good so far.
f(-2)=(-1)²+3=1+3=4, good
f(0) = 0²+3 = 3, good
f(1)=1²+3 = 4, good
f(2) = 2²+3 = 7, good
Answer: C
We'll rule out D. f(1)=1²+3=4, not -2, so not D.
Answer:
0.9812
Step-by-step explanation:
Given that human weights are normally distributed with mean 175 and standard deviation 36 pounds
For a sample of 9 people std error of sample would be
Thus we find that sample mean is N(175, 12)
The plane will lift safely if sample average <200 pounds
i.e. Probability that it can safely lift off (i.e., the average weight of a person in the helicopter is less than 200)
= 
~0.981
