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2013 in mod 13 = 11

11 

121 = 4

44 = 5

55 = 3

33 = 7

77 = 12

132 = 2

22 = 9

99 = 8

88 = 10

110 = 6

66 = 1

If you continue this cycle of 12, 13 times, our answer should be 11

=^._.^=

csc  =  1 /   sin

27^2 * 125^3 * 5

(2+1)(3+1) = 12

=^._.^=

Part A. 

Carmen purchased a 16-ounce can of Nut Munchies and counted 100 peanuts.

What is the z-score for this can of peanuts?

(100 -  93.6)  /   4.2   =  1,52        translates  to  .9357

Part B

Angelo purchased a 20-ounce can of Gone Nuts and counted 116 peanuts.

What is the z-score for this can of peanuts?

(116 - 111.8 )  / 3.4   =  1.23       translates  to   .8907

Part C

Carmen declares that purchasing her can of Nut Munchies with 100 peanuts is less likely than Angelo purchasing a can of Gone Nuts with 116 peanuts. Is Carmen’s statement correct? Use the definition of a z-score to support or refute Carmen’s claim

What we  can say  is  that  purchasing  a can of Nut Munchies with  less than  100  peanuts  is  more likely  than purchasing a can of Gone Nuts  with less  than 116 peanuts

See the  graph here  :  https://www.desmos.com/calculator/jn9lm00kci

The  pairs are

(1, 1)      (2, 1)

(1, 2)      (2, 2)

(1, 3)      (3, 1)

AH = 5

[ABCD] = 24

[AFCH] = 24 - (3 * 4) = 12

EF = 12 / 5 = 2.4

EH = 5 - sqrt(3² - 2.4²) = 3.2

[EFGH] = 2.4 * 3.2 = 7.68 units squared

I got 61 for this, but forgive me if I am wrong

Nice. :))

=^._.^=

The quadratic is "x^2 + 8x + 7 = 0".

12*11/2 = 66 total diagonals

but 12 are sides, 66-12

=^._.^=

there is 54 :)

The cubic is y = 2x^3 - 8x^2 + 6x - 12.

Since  the perimeter of two  such  rectangles =  90.....the  perimeter of one must  be  45

So

2 ( W + L)  = 45

2 ( (2/3)L  +  L)   = 45  

2  ( (5/3)L )  =  45

(10/3)L  =   45

L =  45 (3/10)  =   13.5

W  =  (2/3) (13.5)   =   9

5 from athletics, 3 from the jays and 1 each from the expos and only one way

sqrt  (7x - 5)   =  -2(sqrt (x - 2)      square  both sides

7x  - 5   =  (4) (x - 2)      simplify

7x  - 5  =   4x  -   8

7x - 4x  =  - 8  +  5

3x  =   -3

x  =  -1

However......tis  makes  both expressions under  the roots  negative......and  the  value of a negative  square root  is not  real....so....

No real solutions

Don's apples = D
Alan's apples = A
D = A * 1.666

A - 30 = (D -30)/5

A = 54
D = 90

Alan had 54 apples at first

Note  that if  x  =    2.8   we  have

Floor  [2.8 ]   +  2.8    =

      2           +    2.8   =

          4.8

H = S - 9

S = T - 4
T = 68

H = 55
S = 64

T = 68

H + S = 119

Or 3/6

1/6 + 2/6 = 3/6

6/6 - 3/6 = 3/6
3/6 = 1/2

1/2 of the jigsaw puzzle was not completed.

Note   the  the "floor"  will  increase  by  one  everytime we  encounter  a perfect square

Floor  ( sqrt 1)  =  1

Floor  (sqrt 4)  =  2

Floor  (sqrt 9) =   3

Floor  ( sqrt 16)  =  4

Floor (sqrt 25 )  =  5

So...we will  have  the following sium

1(3)  + 2(5)  + 3(7)  + 4 ( 9)  +   5   =    75