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Ber [7]
3 years ago
11

How can you solve an equation with the variable on both sides?

Mathematics
1 answer:
adoni [48]3 years ago
7 0
Do you mean something like y+2=2+y? Please elaborate
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James and Sarah went out to lunch. The price of lunch for both of them was $80. They tipped their server 25% of that amount.
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Answer:

$12

Explanation:

They tipped to their server = 20% of $20 = 20/100 * 20 = $4

total they have paid = $20 + $4 = $24

So each person paid = $24÷2 = $12

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Same question, but different answer option.
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Step-by-step explanation:

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5f - 3

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Read 2 more answers
Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.3 and P(B) = 0.7. If
Thepotemich [5.8K]

Answer:

See below

Step-by-step explanation:

What is P(A B)?

If A and B are mutually exclusive, then  

P(AB) = P(A∩B) = P(∅) = 0

What is P(A | B)?

By definition  

<em>P(A | B) =  P(A∩B)/P(B). </em>

Since  

P(A∩B) = 0, then P(A | B) = 0

Is P(A | B) equal to P(A)?

No, because P(A | B) = 0 and P(A) = 0.3

Are events A and B dependent or independent?

A and B would be independent if

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

But both P(A |B) and P(B | A) equals 0 and P(A) = 0.3, P(B) = 0.7

Hence, <em>A and B are dependent. </em>

A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Is this statement accurate?

No, it is not.

As we already saw, A and B are mutually exclusive but they are not independent.

What general conclusion would you make about mutually exclusive and independent events given the results of this problem?

If A and B are not empty events which are mutually exclusive, they can never be independent.

6 0
3 years ago
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