Answer:
.2 lbs
Step-by-step explanation:
4.5/22.5
B, 1.2, is greater in value than 115%
Answer:
Probability of obtaining 6H and 4T = 0.2051
Step-by-step explanation:
Since for a fair coin,
Probability of obtaining Head = 0.5
p = 0.5
q = 1-p = 0.5
Probability of obtaining 6H and 4T = 10C6 (p)^6(q)^4 = 210*0.5^6*0.5^4
P(6H, 4T) = 0.2051
The two boundary curves y = √(6x + 4) and y = 2x meet at
√(6x + 4) = 2x
6x + 4 = 4x²
2x² - 3x - 2 = 0
(x - 2) (2x + 1) = 0
⇒ x = -1/2 and x = 2
R is bounded to the left by the y-axis (x = 0), so R is the set
R = {(x, y) : 0 ≤ x ≤ 2 and 2x ≤ y ≤ √(6x + 4)}
Using the shell method, the volume is made up of cylindrical shells of radius x and height √(6x + 4) - 2x. So each shell of thickness ∆x contributes a volume of
2π (radius) (height) ∆x = 2π x (√(6x + 4) - 2x) ∆x
and as we let ∆x approach zero, the total volume of the solid is given by the definite integral

Answer:
512 cm3
Step-by-step explanation: