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Thanks a lot on that one

How about this one,

A new company is starting up and they are creating care packages to be sent to children in high poverty areas. All of the items for the package need to fit inside of one container that does not have a lid. The company has a great team that is designing a container that has a total volume of 2.5 ft^3. For the shape, they are deciding between a rectangular prism with a base dimension of 1 ft x 2 ft and a cylinder with a base area of 2.5 ft^2. The material they have selected to make the packages cost $1.30 per square foot. Which package design will cost the company less to create and by approximately how much? Use π = 3.14

Mass  =  volume * density  =   pi * (radius)^2 (height) (density )

A.   pi * (2)^2 (2) ( 50)  ≈  1257   no

B.   pi * ( 3)^2 ( 2) ( 26)  ≈ 1470     yes

C .  pi * ( 2)^2 ( 3) ( 33)  ≈  1244   no

D.  pi * ( 3)^2 ( 1) * (47)  ≈ 1329  no

E.  pi * ( 4)^2 ( 1) ( 40)   ≈ 2011    yes

"B"  and "E" will incur additional shipping costs

ok, i checked my calculations it's shown to be B and E, A?

a_n  =  (2/5) (5)  ^{n - 1}

a₁  = (2/5)(5)^{1 - 1}   =   (2/5)(5)⁰  =  2/5

a_n  =  5* a_{n - 1}

https://i.postimg.cc/9MY9xb4H/G-MG-A-2-Q1.jpg

https://web2.0calc.com/questions/help-please_29047#r1

176 pounds - 165 pounds =  11 pounds      this is      11/ 11.6  standard deviation less than the mean = - .9483 z-score =~ .95 z score

Look at negative z-score table for the value under -.95 z-score  to find the fraction .1711

.1711 x 120 members = 20.53 members are LESS than 165#   that means      100 members weigh MORE than 165#

I don't see any densities listed......????

Last one

First term  =  -2(3) + 5  =  -1

Last term = -2(6) + 5 =  -7

Sum

[ first term + last term ] * number of terms  / 2  =

[ -1 + -7 ] *  4  / 2  =

-8 * 4  / 2  =

-16

Second one...not arithmetic or geometric......probably easiest to just list the terms

First term  ( 2 * 1)^2  =  4

Second term  = (2 * 2)^2  =  16

Thirs term = (2 * 3)^2  = 36

Fourth term  (2 * 4)^2 = 64

Sum  = 120

Let's see:

Volume of pecan log   pi r^2 h = pi 3^2 (1) = 28.27 ft^3

     weight of pecan log      Volume x density  =   28.27 ft^3  x 47 lbs/ft^3  = 1357.2 lbs        Nope...it is not 'D'...try again! 

First one

First term  = 2(1)  = 2

Fifth term  = 2(5)  = 10

Sum of series  =

[ first term + last term ] *  number of terms  /  2    =

[ 2 + 10 ] * [ 5] / 2  =

12 * 5 / 2  =

60 / 2  =

30

The common difference is 5

The first term is -7   =  a1

Notice that, the jth term is given by :

aj  =  a1  + 5(j - 1) 

aj  =  -7  + 5j -  5

aj  =  -12  +  5j

aj =  5j - 12

Do you see the correct answer, based on this ????

The z score closest to 16% appears to be ≈  -.99

So....we have that

raw scores -   mean

________________  <     -.99

  std. dev.

raw scores - 73

____________   <   -.99      multiply both sides by  4     

     4

raw scores - 73  <  -3.96       add 73 to both sides

raw scores <   69.04  ≈   70%  =  scores below 70

is it D ?