It says to solve each proportion which I forgot how to do. Please help.
2 answers:
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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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Answer:
(0, 3) lies on the line joining (2, -2) and (-4, 13).
Step-by-step explanation:
The equation of the line joining the points (2, -2) and (-4, 13) is:
-2(y + 2) = 5(x - 2)
-2y - 4 = 5x - 10
5x + 2y - 6 = 0
When we substitute x = 0 and y = 3,
5(0) + 2(3) = 0 + 6 = 6
So, (0, 3) lies on the line joining (2, -2) and (-4, 13).