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lara [203]
3 years ago
12

What’s the expression

Mathematics
2 answers:
aev [14]3 years ago
7 0

Answer: 5 + j/3

Step-by-step explanation:

Dividing the fare equally

Since they shared the j fare evenly among 3 people, you would divide the j fare by 3 to get j/3

So each person, including Angela, paid j/3 dollars before the tip

Adding the tip

Angela then added 5 dollars to this j/3 so the expression would become 5 + j/3

Final Answer

Angela paid $5 + j/3

5+\frac{j}{3}

nikitadnepr [17]3 years ago
3 0

The total fare is denoted by the variable <em>j</em>.  If there were 3 passengers that divided the fare evenly, they each paid <em>j</em> divided by 3, or <em>j</em>/3 for the cab.  Since Angela paid an additional 5 dollars as a tip, she paid <em>j</em>/3 + 5.

<h3>Answer:</h3>

<em>j</em>/3 + 5 dollars

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2 years ago
Let A and B be events with =PA0.7, =PB0.3, and =PA or B0.9. (a) Compute PA and B. (b) Are A and B mutually exclusive? Explain. (
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Answer:

a) P(A \cup B) = P(A) +P(B) - P(A\cap B)

And if we solve for P(A \cap B) we got:

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b) False

The reason is because we don't satisfy the following relationship:

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We have that:

0.9 \neq 0.3+0.7 =1

c) False

In order to satisfy independence we need to have the following condition:

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

And for this case we don't satisfy this relation since:

0.1 \neq 0.7*0.3 = 0.21

Step-by-step explanation:

For this case we have the following probabilities given:

P(A) = 0.7, P(B) =0.7, P(A \cup B) =0.9

Part a

We want to calculate the following probability: P(A \cap B)

And we can use the total probability rule given by:

P(A \cup B) = P(A) +P(B) - P(A\cap B)

And if we solve for P(A \cap B) we got:

P(A \cap B) = P(A) + P(B) -P(A\cup B)= 0.7+0.3-0.9 = 0.1

Part b

False

The reason is because we don't satisfy the following relationship:

P(A\cup B) = P(A) + P(B)

We have that:

0.9 \neq 0.3+0.7 =1

Part c

False

In order to satisfy independence we need to have the following condition:

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

And for this case we don't satisfy this relation since:

0.1 \neq 0.7*0.3 = 0.21

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3 years ago
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