(08.01) Two lines, A and B, are represented by the following equations: Line A: 3x + 3y = 12 Line B: x + y = 4 Which statement i
2 answers:
Answer: There are infinitely many solutions.
Step-by-step explanation:
Given, Two lines, A and B, are represented by the following equations:
Line A: 3x + 3y = 12
Line B: x + y = 4
By comparing to the equations and
respectively , we have
Now ,
i.e.
It implies the gives lines are co-incident (linearly dependent).
That means it has infinitely many solutions.
So, the correct answer is "There are infinitely many solutions.".
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The answer would then be 217.
Probability would been equal to 0.9841 if we randomly select 20 bottles it fills.
<h3>What is Probability ?</h3>The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of the positive results for the experiment with 'n' outcomes can also be represented by the symbol x. The probability of an event can be calculated using the following formula.
Probability(Event) = Positive Results/Total Results = x/n
Given,
n = 20
p = 0.05
Thia information gives information about binomial distribution with parameter n = 20 , p = 0.05
Let X be the number of bottles have caps that she not properly applied
X∝ B( n=20 , p= 0.05)
The p.m.f of X is
P( X=0)= () ( 0.05)ˣ (1 - 0.05)²⁰ ⁻ˣ
; x = 0 , 1, 2.......20
0 < p < 1
q= 1 - p
= 0 ; otherwise
P {x ≤ 3} = P { X = 0 } + P{ x= 1 } + P { x= 2 } + P { x= 3}
P( X=0)= () ( 0.05)⁰ (1 - 0.05)²⁰ ⁻⁰ = 0.3585
P( X = 1)= 0.3774
P( X= 2) = 0.1887
P( X= 3) = 0.0596
= 0.3585+ 0.3774 + 0.1887+ 0.0596
= 0.9841
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