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Mathematics 8 Online
OpenStudy (calculusxy):

Medal Will Be Distributed

OpenStudy (calculusxy):

I am typing the question

OpenStudy (calculusxy):

Mr. McElroy put all his black pens and red pens in a box. The probability that he pulls a red pen out of the box at random is 4 out of 15. If 44 black pens are in the box, how many red pens are in the box?

OpenStudy (anonymous):

16 red pens

OpenStudy (anonymous):

Reason: If the probability of pulling a red pen is 4 out of 15, then the probability of pulling a black pen is 11/15. But there are 44 black pens...so 11/15 x 4/4 = 44/60...so there had to be a total of 60 pens. So 60-44 = 16.

OpenStudy (anonymous):

And you can check your answer: If the box now has 44 black and 16 red, then the probability of picking a red is 16/60 = 4/15!

OpenStudy (calculusxy):

Question: Why did you multiply 4/4 with 11/15?

OpenStudy (anonymous):

because you said that there were 44 black pens...so 11 times what is 44...4 If you would have said there are 55 pens, then I would multiply by 5/5

OpenStudy (calculusxy):

I have another question. Please help me!

OpenStudy (anonymous):

One more thing...in probability, the denominator is the total number of possible outcomes in the sample space...so if you have 60 in the denominator, as I showed before, then 60 has to be the total number of pens in the box.

OpenStudy (anonymous):

I can try to help......shoot

OpenStudy (anonymous):

?

OpenStudy (calculusxy):

Wait..

OpenStudy (calculusxy):

Use the figure shown to answer the question. How many triangular regions can be made in the figure by drawing line segments only from vertex Q to the the other vertices?

OpenStudy (anonymous):

If I understand your question correctly, I see two such line segments, from Q to two vertices to the right of Q; and from Q to two vertices to the left of Q.

OpenStudy (calculusxy):

So what is your answer? Can you also explain?

OpenStudy (anonymous):

Drawing a line segment from Q to any other vertices would not result in a triangular region.

OpenStudy (anonymous):

My answer (assuming I understand your question correctly) is 2.

OpenStudy (calculusxy):

The options are: (a) 5 (b) 6 (c) 7 (d) 8

OpenStudy (anonymous):

I do not see more than 2...unless the wording should be changed...look at my reasoning based on how I interpreted the question. Show me a third line segment. I showed you 2 of them.

OpenStudy (calculusxy):

I am confused with this question, thats why I am asking.

OpenStudy (anonymous):

I think I can show 5....if you drawm more than one line segment from Q...I only drew one line segment from Q. If you can draw more than one line segment, then there are 5, I believe.

OpenStudy (calculusxy):

However, they say that the correct answer is 6. But I don't understand why.

OpenStudy (anonymous):

Let me look again at the diagram..and count them

OpenStudy (anonymous):

Correct...6

OpenStudy (calculusxy):

I think that I found it out. It's practically like counting the vertices to connect.

OpenStudy (anonymous):

I missed one of them when I was counting before

OpenStudy (anonymous):

How can I show you the 6?

OpenStudy (calculusxy):

YOu can draw.

OpenStudy (anonymous):

Can you label the entire polygon with A, B, etc... so I can list all 6 triangular regions? Send the diagram listed with lettered-vertices.

OpenStudy (calculusxy):

So there is 6 vertices connecting.

OpenStudy (calculusxy):

@Easyaspi314

OpenStudy (anonymous):

Starting from the vertex to the right of Q, please label the vertices A, B, C, C, etc.

OpenStudy (anonymous):

that would make life very easy

OpenStudy (calculusxy):

Rosemary has a box full of jars containing six different kinds of spices, one kind per jar: cinnamon, sage, thyme, parsley, pepper, and clove. The probability of choosing a jar of thyme is 2 out of 11. Which combination of jars is possible? (a) 2 jars of thyme and 11 others (b) 4 jars of thyme and 11 others (c) 2 jars of thyme and 13 others (d) 4 jars of thyme and 18 others

OpenStudy (anonymous):

What happened to the vertices in the last problem? I was waiting to show you the 6 traingular regions.

OpenStudy (calculusxy):

Well I got that problem, so I moved on to the next problem that I was confused on.

OpenStudy (anonymous):

Ok..I have about a dozen e-mails from fans/students that need my help..I told them soon about 10 times...So I want to help those students first as I promised I would help them soon. I will be back in awhile.

OpenStudy (calculusxy):

OK thanks though.

OpenStudy (anonymous):

sure.

OpenStudy (anonymous):

Meanwhile, post your problems to everyone...let others jump in.

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