Answer:
degree of length = 1
degree of width = 1
degree of height = 3
degree of volume = 4
Step-by-step explanation:
V = (4x - 1)( x)(x³) = (4x² - x)x³ = 4x∧5 - x∧4
dV/dx = 20x∧4 - 4x³
d²V/dx² = 80x³ - 12x²
80x³ - 12x² = 0
4x²(20x - 3) = 0
20x - 3 = 0
20x = 3
∴ x = 3/20
Length, 4x - 1 = 4 (3/20) - 1 = 3/5 - 1 = -2/5
∴ degree of length = 1
Width, x = 3/20
∴ degree of width = 1
Height, x³ = (3/20)³ = 27/8000
∴ degree of height = 3
Volume, 4x∧5 - x∧4 = 4(3/20)∧5 - (3/20)∧4 = 4(243/3200000) - (81/160000) = 243/800000 - 81/160000 = (243 - 405)/800000 = - 162/800000 = - 81/400000
∴ degree of volume = 4
So the fraction would be 23/35 are boys. If you do the division (23 ÷ 35) the answer is around 0.657.
That converted into a percentage (×100) is 65.7%
Answer:
31
Step-by-step explanation:
The median of this data set is 42.
The 1st quadrant is the mean of 24 and 36: 30.
The 3rd quadrant is the mean of 57 and 65, or 61.
Thus, the IQR is the difference between 61 and 30: It is 31.
Answer:
See attached picture.
Step-by-step explanation:
See attached picture for detailed explanation.
