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34

{
 {{9, 91}},
 {{39, 91}},
 {{52, 91}},
 {{1, 8, 91}},
 {{1, 9, 91}},
 {{1, 39, 91}},
 {{1, 52, 91}},
 {{8, 9, 91}},
 {{8, 39, 91}},
 {{8, 52, 91}},
 {{9, 39, 52}},
 {{9, 39, 91}},
 {{9, 52, 91}},
 {{39, 52, 91}},
 {{1, 8, 9, 91}},
 {{1, 8, 39, 52}},
 {{1, 8, 39, 91}},
 {{1, 8, 52, 91}},
 {{1, 9, 39, 52}},
 {{1, 9, 39, 91}},
 {{1, 9, 52, 91}},
 {{1, 39, 52, 91}},
 {{8, 9, 39, 52}},
 {{8, 9, 39, 91}},
 {{8, 9, 52, 91}},
 {{8, 39, 52, 91}},
 {{9, 39, 52, 91}},
 {{1, 8, 9, 39, 52}},
 {{1, 8, 9, 39, 91}},
 {{1, 8, 9, 52, 91}},
 {{1, 8, 39, 52, 91}},
 {{1, 9, 39, 52, 91}},
 {{8, 9, 39, 52, 91}},
 {{1, 8, 9, 39, 52, 91}}
}

Looks good, EP!!!

Nice, tertre.....!!!!

OK   it is 'D'....I think....

    earnings 187.45 x 10%= 18.745 = P

A = 18.745 (1 +  .05/12)^(12*30) = $ 83.75

y = .27x^2 -2.44x +7.49

I got the answer from technology....here :

https://www.easycalculation.com/statistics/quadratic-regression.php

thanks i might use it! Could you look at the other ones i asked about

Yay, 30-60-90 triangles!

We can label the figure, by creating the four opposite from 90 degrees and the two across from the 30 degrees. We have to solve for side length AB, which is across from angle 60. Using our knowledge on the triangle, opposite to 60 is \(x\sqrt{3}\) . Thus, the answer is \(2\sqrt{3}\) .

This one:

https://www.nctm.org/Classroom-Resources/Illuminations/Interactives/Line-of-Best-Fit/

Pretty easy to use, too....!!!

what site is that?

Don' t know that I'm adding much....but....here's the graph....the correlation coefficint is .98  [ high correlation ]

Let's write this as

y = mx+b     and we know   2,8 is on the line (substitute these in to the equation)

8 = -5/2 (2) + b

8 = -5 + b               so b = 13 and the equation becomes

y = (-5/2) x + 13

Could you explain like explain how you got your answer. Use the coefficient to describe the correlation of this data.

Partial Mathematician (PM) is an enthusiastic kid Rom. 

He is a little more enthusiastic than his knowledge can support but he'll settle in here ok I think.

I like this place to be full of people who are enthusiastic about mathematics and I have already seen evidence that PM is learning.

That is right isn't it PM  ?

You could back off on questions that you do not understand though PM  

Did you copy this stuff from somewhere and just hope it was relevant? 

You know that is plagerism and illegal.  You must at least say where you copy your info from. 

g/e^2 - r = m- y     add r to both sides

g      =   m - y  + r

__       _________       we can "flip" both fractions and still keep equality...so...

e^2          1

e^2    =      1

____       ________          multiply both sides by g

g             m - y + r

e^2     =    g   / [ m - y + r ]        take both roots

e   =  ±√  [ g   / ( m - y + r )  ] 

When we graph the points we see that the Line of Best Fit is extremely close to all the points, but not perfect.

Therefore, it is a High Positive Correlation.

Yeah....pretty sure it is.....

Expand \(x^2(x^2+4y^2)\) to \(x^4+4x^2y^2\) , now subtract \(2x^2y^2\) from it and get \(x^4+2x^2y^2\) , which is the first answer.

Second, we've already expanded it so put \(x^4+4x^2y^2\) in the second blank, and same with the third blank because they are the same.

You are very welcome!

:P

Mmmmmm....using some technology...the line of best fit is 

y = 16.92x + 2.94

"B" is the best   !!!

ohh ok so your answer part is correct, right

We have the form

ax^2  + bx   + c  = 0

Where  a = 1, b = - 2  and c = 6

The discriminant  is     b^2 - 4ac.....if this is < 0, we have no real solutions...so...

(-2)^2   - [ 4 * 1 * 6 ]    =

4 - [ 24]   =   -20

So....no real solutions......

You got that part correct....but we need to compare that with how much she would spend on a policy if she quit smoking.....which is   4 * 3.50 * 12   = $168

So...the amount she would save is the difference between these.....

what are you going on about partialmathematician?

\(\text{for (d) you've already calculated }\mu=\dfrac{13}{12} \text{ and }\eta=1\\ \text{so you are asked to find }P\left[X < 3 \cdot \dfrac{13}{12} - 1\right] =\\ P\left[X <\dfrac 9 4\right]\)

\(\text{this will be}\\ \displaystyle \int \limits_0^1~\dfrac 1 2~dx + \int_1^{\frac 9 4}\dfrac{3-x}{4}~dx = \dfrac{119}{128}\\ \)

x^2  + 9x - 15   = 0 

Not too much math to do here, NSS

The quadratic formula  will  have "-9"  as the first term in the numerator, so we can eliminate A and B 

Further, the dscriminant   =  9^2 -  [4*1 * -15]   =  81 - (-60) =   81 + 60   = 141

This will be the integer under the radical.....so....

"C"  is correct     !!!!

ohh i had got 

x^2 + 9x - 36  = 0         factor   and set = 0

(x + 12) ( x - 3)   = 0

Set each factor to 0, solve for x and we get that

x = -12   or   x   = 3