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:
you need to provide the statement
Step-by-step explanation:
Answer: 8 3/4
Explanation: Well in order to solve this equation, you must make the denominators equivalent. A common factor between 4 and 5 is 20. But since we multiplied the denominators, we have to do the same to the numerators. 3 x 5 = 15. 1 x 4 = 4. Our new fractions are now 1 15/20 and 4/20. Now that we have made our denominators equivalent, we can divide. 1 15/20 divided by 4/20 is 8 15/20. But we are not done yet, after we must simplify the fraction. Which would be 8 3/4.
Answer:
11x^(2) - 3
Step-by-step explanation:
Remove the parentheses: (a)=a
=5x^2-7x+10+7x^2-11-x^2+7x-2
Group the like terms:
=5x^2+7x^2-x^2-7x+7x+10-11-2
Add the similar elements : 5x^2+7x^2-x^2=11x^2
=11x^2-7x+7x+10-11-2
Continue to add similar elements: -7x+7x=0
=11x^2+10-11-2
Then add or subtract the numbers: 10-11-2=-3
<u>FINAL ANSWER</u>:= <em>11x^(2)-3</em>
Answer:
True.
Step-by-step explanation:
I don't nessicarly know the explanation behind it, but if a negative number is being multiplied by another negative number, the product will always be positive.
