Answer:
The value is
Step-by-step explanation:
From the question we are told that
The number of light produced in an hour is n = 922
The proportion of the bulb that are defective is p = 0.0334
Generally given from the question that we should use binomial distribution it then means that the standard deviation is mathematically evaluated as

=> 
=>
Answer:
Below in bold.
Step-by-step explanation:
i) Amount = 15000(1 + 0.10)^2 = 18,150.
Interest = 3,150.
ii) Amount = 15620(1 + 0.08/2)^(3/2*2)
= 15620(1 + 0.04)^3
= 17,570.38.
Interest =1,950.38.
iii) Amount = 100000(1 + 0.04/4)^(3)
= 100000(1 + 0.01)^3
= 103,030.1
Interest = 3030.1.
Answer:
20 ft long; 12 ft wide
Step-by-step explanation:
Let w = the width of the garden
Then l = w + 8
A = lw
A = (w + 8)w
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The sidewalk is 4 ft wide, so, for the big rectangle consisting of garden plus sidewalk:
Width = w +8
Length = w + 16
Area = (w + 8)(w + 16)
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The <em>difference</em> between the two areas is the area of the sidewalk (320 ft²).
(w + 8)(w + 16) - (w + 8)w = 320 Factor out w + 8
(w+ 8)(w + 16 – w) = 320 Combine like terms
(w+ 8) × 16 = 320 Divide each side by 16
w + 8 = 20 Subtract 8 from each side
w = 12 ft
l = 12 + 8
l = 20 ft
The garden is 20 ft long by 12 ft wide.
Answer:
Yes
Step-by-step explanation: