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Second one

[ age we are looking for  - mean ]

____________________________  =   z score

             std dev

[age we are looking for - 32  ]

___________________________  =  -1.2                 multiply both sides by  6.2

                    6.2

age we are looking for - 32  = -7.44           add 32 to both sides

age we are looking for  = 24.56  =  24.6  rounded to nearest tenth

What cphill said

We want to find the  z score in the table that corresponds to  .20   [ or....at least as close as possible]

Looking at the table here : http://www.z-table.com/    ....  we find that this corresponds to a z score of ≈ -.84

So....the 'formula" for our  z score is

[ mass we are trying to find - mean ]  

________________________________  =  -.84              fill in what we know

               std dev

[ mass we are trying to find  - 55 ]

_______________________________  =  -.84                     multiply both sides by 4.2

           4.2

mass we are trying to find - 55 =  -3.528        add  55 to both sides

mass we are trying to find  =  51.472   ≈   51.5 g      [ first answer ]

EDIT TO CORRECT A PREVIOUS ERROR  !!!

While your composing that one I would like to post this one as well. I am confused on this one too

Basic Definition of Evolution: That everything in the Universe, including Life on this planet, evolves or changes over time, particularly, over Geologic or Cosmological time of millions and billions of years, when it becomes very evident. It evolves ALL the time, except it may not be perceived by the human eye. 

20% off means 80% of the original price....so....

80% of $41.45 =

.80 * 41.45  =

$33.16  =  sale price

[ 5 +x]           4

______  =  ____     cross-multiply

[8 + x]          10 

10 [ 5 + x]  =  4 [ 8 + x]      simplify

50 + 10x  =  32 + 4x          subtract 4x, 50  from both sides

6x =  - 18                   divide both sides by 6

x =  - 3

As defined by the urban dictionary, evolution is the descent with modification from preexisting species : cumulative inherited change in a population of organisms through time leading to the appearance of new forms : the process by which new species or populations of living things develop from preexisting forms through successive generations

Try adding a negative number, and note that 0.4 is 2/5.

Alternatively, solve (5+x)/(8+x) = 0.4 for x.

(Too late! Guest has already supplied the answer.)

[+5 - 3] / [+8 - 3] =2 / 5 = 0.4

First one

The function max  = 5

The function min = -1

The equation of the midline is     

y =  [  function max + function min ] / 2     =  [ 5  +  - 1 ] / 2  =  4 / 2   =  2

So....   y = 2  =   equation of midline

Second one

Here you go :  https://www.desmos.com/calculator/xxf1s9z0my

\(|z^4| = |z|^4\\ |z^4|^2 = \dfrac{64^2}{25} + \dfrac{48^2}{25} = 256\\ |z^4|=16\\ |z| = \sqrt[4]{16}=2\)

So what are you saying? It is only C?

Well done

I'm assuming that side length of (1/3)  =  (1/3)cm

The volume of one cube  = (1/3)^3  =  1/27 cm^3

Volume of the prism (box)  =  

Length * Height * Width  =

( 1) ( 2/3) (2 2/3)  =

(1) (2/3) (8/3)  =

16/9   cm^3

So....the number of cubes that will fit =     Volume of Prism / Volume of one cube =

(16/9) / (1/27)  =

(16/9) * (27/1)  =

16 * ( 27/9) =

16 * 3  =

48 cubes

Let the number of shirts he sold the first week = x    and the number sold the second week = 100 - x

So we have      

[Sales] - [Cost] = Profit

[25x + 20(100 - x)] - [15 * 100]  = 600     simplify

25x + 2000 - 20x - 1500 = 600

5x + 500  = 600      subtract 500 from both sides

5x = 100          divide both sides by 5

x = 20 =   the number of shirts sold the first week

Cost of shirts = 100 x 15 = 1500             Profit 600    total sales    2100

25 x   = first week's sale       20 (100-x) = second week's sale      added together = 2100

25x + 20(100-x) = 2100

5x +2000 = 2100

5x = 100

x = 20