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Divide 10389 by 12.  n is the remainder.

I'd probably go the median and the interquartile range.

rotation are usually considered the same in question like this.

Seat the child anywhere to start the sequence     1 

Dad can be seated on either side.                         1*2

Mum sits on the other side                                     1*2*1

3 more people to sit.  They are A,B and C

A can side in 3 places, 2 seats left from B and only one place left for C

So I have

1*2*1*3*2*1 = 12 ways

Method 1:  Turn them all into approximate decimals using your calculator, then order them.

Method 2:  Change them so each one is total inside a square root. Then order them

e.g.   6sqrt2 = sqrt (36*2) = sqrt (72)

Draw a sketch of what you have and then use this to finish it.

Line 1l represents the graph of 3x+4y = -14. Line l2 passes through the point (-5, 7), and is perpendicular to line l1. If line l2 represents the graph of y=mx + b, then find m+b.

Hello Guest!

Linie l1:

\(3x + 4y = -14\\ \color{blue}y=-\frac{3}{4}x-\frac{7}{2}\\ m_1=-\frac{3}{4}\)

Linie l2:

\(m_2=-\frac{1}{-\frac{3}{4}}\\ \color{blue}m_2=\frac{4}{3}\\ \color{BrickRed}P(-5,7)\\ y=m(x-x_P)+y_P\\ y=\frac{4}{3}(x+5)+7\)

\(y=\frac{4}{3}x+\frac{20}{3}+7\)

\(y=\frac{4}{3}x+13\frac{2}{3}\)

\(m+b=\frac{4}{3}+13\frac{2}{3}\)

\(m+b=15\)

  !

I made an error in the above post. The area of an octagon is NOT 150 cm² !!!  

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Square area is 15² = 225 cm²

Octagon area is 225 - 2(5²) = 175 cm²  

A triangle has three different integer side lengths and a perimeter of 20 units. What is the maximum area of the triangle?

PV = nRT       since    n  R  and T are constants

p1v1 = p2v2 = konstant =    .2 (1)=.2

pv=.2

p = .2/v

dp/dt = .1/min          at 10 minutes volume = .1          

               can you proceed from here?

How many songs would it take to reach 5 hours. i really need to know thanks.  

Also i need to know if its a 2 min and 3 or 4min songs in that time frame to  

5 hours is 300 minutes. 

at 2 min/song                   150 songs  

at 3 min/song                   100 songs  

at 4 min/song                     75 songs  

If you mix up 2, 3, and 4 minute songs, the number of combinations would be finite, but I don't know how to determine them except by brute force and I'm not going to go into that here. 

_.

Error:   look at the FIRST answer....not the second one !

36 possible rolls

  6 rolls of doubles are possible   2 2   1 1    3 3    etc

     roll 3 or a 6        1 2     2 1    5 1   1 5    4 2     2 4     3 3       12  out of 36    (don't count 3 3 twice !)

When Colby rolls two fair standard dice, what is the probability that he rolls the same number on both dice or that the sum of the two numbers rolled is divisible by 3? Express your answer as a common fraction.   

These are the that Colby could roll. 

The highlighted pairs fit a requirement. 

1,1   1,2   1,3   1,4   1,5   1,6  

2,1   2,2   2,3   2,4   2,5   2,6  

3,1   3,2   3,3   3,4   3,5   3,6  

4,1   4,2   4,3   4,4   4,5   4,6  

5,1   5,2   5,3   5,4   5,5   5,6  

6,1   6,2   6,3   6,4   6,5   6,6  

Looks like there are 16 of them, so the probability is 16 out of 36 - which reduces to 4/9    

_.

The maximum area would be that of an isosceles triangle with sides, 7, 7 and 6. Using Heron's Formula we get the area =18.974 units^2

how many songs would it take to get to 5 hours im at 116 songs right now.

Nope, I still do not follow your explanation Ginger.  Thanks for your effort though.

Your table of what can happen with any one turn is helpful and easy to understand.

After that I am lost.

I did go off on a tangent and found that in any 2 consecutive goes:

the prob of throwing 6 heads and NOT 2 sixes is  (50+5)/(48*48) = 55/2304

And the prob of throwing 2 sixes and NOT 6 heads is  (56+7)/(48*48) = 63/2304

I do not know what to do with that ...

I am just trying to show you my train of thought.

I do not care if you give up but if you want to explain what you are saying clearly I will try and understand.

Perhaps Pangolin14 has a class solution that can be shared with us both?

The sum of the coordinates of point Z is -8/5.

Altitudes AX and BY of acute triangle ABC intersect at H. If angle BAC = 61 and angle ABC = 82, then what is angle CHX?

angleCHX = 82 degrees

None are true.

A triangle has three different integer side lengths and a perimeter of 20 units. What is the maximum area of the triangle?

sides are 5, 7, 8       area = 17.321 sq units

All you need is to find the "common ratio" by dividing the 2nd term by the 1st term: (-2/9) / (1/3) = - 2/3. Then, all you do is multiply -2/3 x 2nd term(-2/9) =4/27, which is your 3rd term. Then multiply it by - 2/3 and you get: 4/27  x  - 2/3 =- 8/81, which is your 4th term..............and so on.

So, the nth term "closed form" would be:a(n) =a(n - 1) * - 2/3

So, the 5th term is:a(5) =a(5 - 1) =a(4) * - 2/3 =16 / 243........and so on.

Hm...I don't believe that works. The answer choices are 820, 960, 1210, 1480, and 1528. Thank you a lot for trying, though--

There are 6*2!*5!*3 = 4320 possible seatings.

There are 52500 possible sequences.