Answer: 2.71
Step-by-step explanation:
We know that the formula to calculate the standard error is given by :-
, where
is the standard deviation and 'n' is the sample size.
Given : Standard deviation : 
Sample size : 
Then , the standard error of the mean is given by :-

Hence, the standard error of the mean = 2.71
A counter example disproves a statement.
The counter example for : the city of Portland is in Oregon would be : the city of Portland is in Maine.
The city named Portland can be found in both states.
Answer:
No.
It's x^4 - 4x^3 + 7x^2 - 28x.
Step-by-step explanation:
(x - √7 i)(x +√7i)
= x^2 + √7x i - √7x i - 7 i^2
= x^2 - 7 * -1
= x^2 + 7
g(x) = x(x - 4)(x^2 + 7)
= x(x^3 + 7x - 4x^2 - 28)
= x^4 - 4x^3 + 7x^2 - 28x.
Answer:
B, 6
Step-by-step explanation:
In the equation (x - c)² + (y - d)² = r², (c, d) is the center and r is the radius. In this case, c = -2, d = 7 and r = 6 so the center is (-2, 7) and the radius is 6.
Answer:
a. 99.7%
b. 68%
Step-by-step explanation:
The empirical rule for approximately symmetrical and bell-shaped distributions states that:
68% of the data are among the values (means - sd) and (means + sd)
95% of the data are among the values (means - 2*sd) and (means + 2*sd)
99.7% of the data are among the values (means - 3*sd) and (means + 3*sd). So that,
68% of the data are among the values (180 - 8) = 172 and (180 + 8) = 188
95% of the data are among the values (180 - 16) = 164 and (180 + 16) = 196
99.7% of the data are among the values (180 - 24) = 156 and (180 + 24) = 204