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kari74 [83]
3 years ago
9

The sum of the consecutive numbers is 111. What is the smallest of the three numbers?

Mathematics
2 answers:
sammy [17]3 years ago
8 0
Let
x = first consecutive number
x + 1 = second consecutive number
x + 2 = third consecutive number

The sum of these numbers are 111.
x + x + 1 + x + 2 = 111
3x = 111 - 1 - 2
3x = 108
x = 36

Therefore, the smallest number is 36 because other numbers are 37 and 38.
Serga [27]3 years ago
3 0


Answer=36 + 37 + 38 = 111 (36 is the smallest number)

In algebraic form it is x+ x+1 + x+2 = 111 First you minus the 2 and the 1 to give you 108 and then divide that by 3 to give you x (36). That gives you the smallest of the consecutive numbers. Then add on the one on 36 to give 37 and another one to give 38.

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defon

Answer:

0.5015 = 50.15% probability that it came from manufacturer A.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Defective

Event B: From manufacturer A.

Probability a unit is defective:

2% of 43%(from manufacturer A)

1.5% of 57%(from manufacturer B). So

P(A) = 0.02*0.43 + 0.015*0.57 = 0.01715

Probability a unit is defective and from manufacturer A:

2% of 43%. So

P(A \cap B) = 0.02*0.43 = 0.0086

What is the probability that it came from manufacturer A?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0086}{0.01715} = 0.5015

0.5015 = 50.15% probability that it came from manufacturer A.

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Answer:

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Step-by-step explanation:

Perhaps you want to solve the equation for the value of x. If so then let us work it out:

2x - 17 = 11 \\ 2x = 11 + 17 \\ 2x = 28 \\ x =  \frac{28}{2}  \\  \huge \red { \boxed{x = 14}}

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