Answer:
Step-by-step explanation:
Let X be the solvent present
Then given that the manufacturer of industrial solvent guarantees its customers that each drum of solvent they ship out contains at least 100 lbs of solvent.
X is N(101.3, 3.68)
a) 
Probability = 0.6368
b) 
means Z score = 1.88
X=100+1.88(s) =101.3
s=1.3/1.88=0.6914
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Answer:
The correct answer is "x = 4" and "x = -12".
Step-by-step explanation:
The given equation is:
⇒ 
On subtracting "18" from both sides, we get
⇒ 
⇒ 
On applying factorization, we get
⇒ 
On taking common, we get
⇒ 
⇒ 
⇒ 
or,
⇒ 
<span>Let the extension of the length and width be x.
The new dimensions are: Length = 8+x
Width =3+x
Area = 104 ft squared
Area of a rectangle = Length x Width
Therefore,
(8+x)(3+x) = 104
x^2 +11x +24=104
x^2 +11x +24-104=0
x^2 +11x-80=0
Factorize using splitting the middle term method.
X^2 +16x-5x-80=0
x(x+16)-5(x+16)=0
(x-5)(x+16)=0
either x-5 = 0 or x+16=0
x=5 or x=-16
length and width measure cannot be negative.
Therefore, the extension of the length and width is 5 feet each.</span>
