Answer: a) The figure can be reasonably divided into two geometries:
• a rectangular prism
• a hemisphere.
b) The volume of the rectangular prism is given by
V = lwh
V = (10 cm)(5 cm)(4 cm) = 200 cm³
The volume of the hemisphere is given by
V = (2π/3)r³
V = (2π/3)(3 cm)³ = 18π cm³
c) The total volume of the figure is
total volume = (prism volume) + (hemisphere volume)
V = 200 cm³ + 18π cm³
V ≈ 256.549 cm³
Step-by-step explanation:
Answer:
x^2 -10x - 15 = 0
(don't know how far you want me to go)
Step-by-step explanation:
(x - 5)^2 = 40
(expand the brackets)
(x - 5)(x - 5) = 40
x^2 -5x -5x + 25 = 40
x^2 -10x + 25 = 40
x^2 -10x - 15 = 0
Answer:
B. n=36, p=0.98, x=12
Step-by-step explanation:
98% of bottles have the correct amount.
The probability is equal to 0.98
That is p = 0.98
A bottle of water is supposed to have 12 ounces.
That is the expected value is 12
X = 12
36 bottles has all bottles properly filled
The possible sample space is 36
N = 36
VW=VC+CW
61=z+13+z+8
61=2z+21
2z=40
z=20
