Population this year = 250 × 125/100= 313(approximately)
Answer:
Mean = 151
MAD = 9.14
Step-by-step explanation:
Given the data:
135, 160, 145, 155, 170, 150, 142
Mean = Σx / n
Mean = 1057 / 7
Mean = 151
Mean absolute DEVIATION (MAD) : Σ(x - μ) / n
[(135-151) + (160-151) + (145-151) + (155-151) + (170-151) + (150-151) + (142-151)] / 7
Mean absolute deviation = 9.14
Answer:
The objective function in terms of one number, x is
S(x) = 4x + (12/x)
The values of x and y that minimum the sum are √3 and 4√3 respectively.
Step-by-step explanation:
Two positive numbers, x and y
x × y = 12
xy = 12
S(x,y) = 4x + y
We plan to minimize the sum subject to the constraint (xy = 12)
We can make y the subject of formula in the constraint equation
y = (12/x)
Substituting into the objective function,
S(x,y) = 4x + y
S(x) = 4x + (12/x)
We can then find the minimum.
At minimum point, (dS/dx) = 0 and (d²S/dx²) > 0
(dS/dx) = 4 - (12/x²) = 0
4 - (12/x²) = 0
(12/x²) = 4
4x² = 12
x = √3
y = 12/√3 = 4√3
To just check if this point is truly a minimum
(d²S/dx²) = (24/x³) = (8/√3) > 0 (minimum point)
Answer:No
Step-by-step explanation:
Pi is irrational
