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aleksley [76]
2 years ago
10

A manufacturer of liquid laundry detergent has a .02 probability that the detergent bottles will be improperly filled. (Either t

oo much or too little detergent.) There is a .03 probability that the label on the bottle will not be affixed properly. If the events of bottle fill and affixing the label are independent, then the probability of a bottle being filled improperly and having an improperly affixed label is
Mathematics
1 answer:
Leya [2.2K]2 years ago
5 0

Answer:

0.0006

Step-by-step explanation:

The probability is

Given that

A denotes the bottle being filled improperly

And,  

B denotes the label on the bottle will not be affixed properly

So,

P(A) = 0.02 ,

ANd, P(B) = 0.03

Also that A and B are independent events.

So, by property of independence is

P(A \cap B) = P(A and B) = P(A) P(B)

= P(A and B) =P(A)P(B)

= 0.02 × 0.03

= 0.0006

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Answer:

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Step-by-step explanation:

Let r = red

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let b = blue

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b - 6 = g

===================

substitute for red and green

(b + 3) + b + b - 6 = 102

b + 3 + b + b - 6 = 102

Combine like terms

3b - 3 = 102

Add 3 to both sides

3b - 3 + 3 = 102 + 3

3b = 105

Divide by 3

3b/3 = 105/3

b = 35

======================

r = b + 3

r = 35 + 3

r = 38

=======================

g = b - 6

g = 35 - 6

g = 29

========================

3 0
3 years ago
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Likurg_2 [28]

Answer:

1) L(y)=\frac{2}{s^{3}}

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Step-by-step explanation:

To find : Calculate the Laplace transforms of the following from the definition ?

Solution :

We know that,

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L(t^n)=\frac{n!}{s^{n+1}}

1) y=t^2

Laplace of y,

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L(y)=\frac{2}{s^{3}}

2) y=t^3

Laplace of y,

L(y)=L(t^3) here n=3

L(y)=\frac{3!}{s^{3+1}}

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2 years ago
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nydimaria [60]

n = 2

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- 10n = 29 - 49 = - 20

n = \frac{-20}{-10} = 2



5 0
3 years ago
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777dan777 [17]

Answer:

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Step-by-step explanation:

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