Step-by-step explanation:
x-the initial number of coconuts
x=3y+1
2y=3z+1
2z=3×7+1=>z=11=>y=17=>x=52
Answer:
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Step-by-step explanation:
A cyclist completes a journey of 500m in 22 seconds, part of the of the way at 10m/s and the remainder at 50m/s. how far does she travel at each speed? ... Let x = distance traveled at 10m/s and y = distance traveled at 50m/s. ... x+y=500. 50x+10y=11000. 50x+50y=25000. 50x+10y=11000. 40y=14000.
Answer:
<em>96π units²</em>
Step-by-step explanation:
Find the diagram attached
Area of a sector is expressed as;
Area of a sector = θ/2π * πr²
Given
θ = 3π/4
r = 16
Substitute into the formula
area of the sector = (3π/4)/2π * π(16)²
area of the sector = 3π/8π * 256π
area of the sector = 3/8 * 256π
area of the sector = 3 * 32π
<em>area of the sector =96π units²</em>
The proportion of production that is defective and from plant A is
... 0.35·0.25 = 0.0875
The proportion of production that is defective and from plant B is
... 0.15·0.05 = 0.0075
The proportion of production that is defective and from plant C is
... 0.50·0.15 = 0.075
Thus, the proportion of defective product that is from plant C is
... 0.075/(0.0875 +0.0075 +0.075) = 75/170 = 15/34 ≈ 44.12%
_____
P(C | defective) = P(C&defective)/P(defective)
