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16%  corresponds to  either   a   z score of  -.99   OR  a z score of 1

So   we either have that

[ score - 76 ]

___________  =  -.99      multiply both sides by 8

       8

score - 76  = -7.92       add  76 to both sides

score  = 68.08......which means that 16% will be below about 68

OR

[ score - 76 ]

__________   =   1             multiply both sides by 8

       8  

score - 76  =  8       add  76 to both sides

score  =  84     .....this means that 16% will be above  84 

But...since this isn't one of your choices......68 is correct

[ Note that the 16% could be anywhere.   for example....it could also mean the 16% "cluster" on either side of the mean ] 

Yay! I am so happy im understanding it thank you for your detialed explanations !

OK

30%  = .30    which corresponds to a z score ≈ -.52

So....we have

[ weight we are looking for - mean ]

_____________________________   =   -.52

              std dev 

[ weight we are looking for - 143 ]

___________________________     =  -.52           multiply both sides by  4.2

               4.2

weight we are looking for - 143    = -2.184         add 143 to oth sides

weight we are looking for   = 140.8 g    (round to 141 g )

Good JOB !!!....I think you got it !!!

I got 68.08 but what does this mean exactly ? That all the scores are below 68 ?

Im so glad Im understanding these! Im going to be uplaoding more to double check not sure if you would like to but if you do that would be great.

Here is another one.

Now this one I was a bit confused but maybe I did it correctly

[ 165 - 176 ]

_________    =   z score we are looking for

     11.4

-11

____     ≈    -.96

11. 4

Looking at the table here : http://www.z-table.com/

This corresponds to   .1685

So....about  16.85%  of the 120 will weigh < 165 lbs

So.....this means that  120 ( 1 - .1685)   ≈  99.78  will weigh > 165 lbs

So    99.78  will round to 100

Good job !!!

I think Time can also be an answer🤔. Nope?

The hexagon  will be composed of 6 equilateral triangles with sides of 2

So....its area is

6 (1/2) (2)^2 * sin 60  =

3 * 4 *  [ √3 / 2 ]  =

6√3  units^2

This one too if you can . If not I understand

Don't know about the first....but......here's the second one....

[ 105 - 102 ]

__________  =   

       2.9

   3

____  =

  2.9 

1.03

Foosteps is the answer

Vol _sphere =    (4/3) (3.14) ( diameter / 2)^3  =  (4/3) (3.14) (8.5 / 2 )^3  = 321  m^3

was this correct?

Ah yes...I misread that one...let me do an edit

First one 

Not sure how to input these into your calculator..(you might have to ask your teacher).....but here is the result :

https://www.wolframalpha.com/input/?i=sum+%5B100(-4)%5E(n+-+1)%5D,+n+%3D+1+to+n+%3D+4

Second one....likewise....we have

https://www.wolframalpha.com/input/?i=sum+%5B98+-+2n%5D+,++n+%3D+1+to+n+%3D+11

The volume of a sphere is (4/3) x pi x radius cubed

                                           V = (4/3) x 3.14 x (1.5)³ 

                                           V = (4/3) x 3.14 x 3.375  

                                           V = 14.13 cubic inches 

. 

DC Thomas Copper waking from his catnap and critiquing your post.

Translation from Purrrsian:  W T F ...

This plane is flying into a headwind, and it is climbing like a bat leaving heII.

This means the ground speed is less than the air speed.  

GA