<span>Answer:
y = x + sin(x)
y' = 1 + cos(x)
Setting y' to zero, we have:
y' = 0
1 + cos(x) = 0
cos(x) = -1
x = pi, on the interval [0, 2pi]
y'' = -sin(x)
When x = pi, y'' = -sin(pi) = 0
Thus, we have an extremum at x = pi, but it is neither a local maxima nor a local minima.
Notice as well that y' = 1 + cos(x) >= 1 for all real values of x.
Thus, y is an increasing function.
This implies that on the interval [0, 2pi], the absolute minima is at x = 0, where y = 0 + sin(0) = 0; and the absolute maxima is at x = 2pi, where y = 2pi + sin(2pi) = 2pi.</span>
Answer:
(26.2252 ; 27.3748)
Step-by-step explanation:
The confidence interval is given by :
x ± Margin of error
The margin of error = Zcritical * (σ/√(n))
σ = 7.5 ; n = 654
Zcritical = Zα/2 = 1.96
The margin of error = 1.96 * (7.5/√654) = 0.5748
The confidence interval :
Upper boundary = 26.8 + 0.5748 = 27.3748
Lower boundary = 26.8 - 0.5748 = 26.2252
(26.2252 ; 27.3748)
We are 95% confident that the mean BMI of the entire population will fall in between (26.2252 ; 27.3748)
Answer:
A
Step-by-step explanation:
Since there are 28 days in a regular February and 365 days in a total year, the probability that a random person is born in February is 28/365. This means that the probability that they were NOT born in February is 337/365, or answer choice A. Hope this helps!
Answer:
3 4/5
Step-by-step explanation:
