A computer outlet store receives a shipment of 2000 computer chips. The owner decides to randomly choose 36 chips and test them. (a) What is the population (actually the group of elementary units) in this study? (b) What is the sample? (c) If the 36 chips are all chosen from the top layer of the box of 2000 chips, is this a random sample? why or why not?

a

The  population is  2000

b

The  sample is  36

c

No this is not a random sample  

Step-by-step explanation:

From this question we are told that

   A computer outlet store receives a shipment of 2000 computer chips

  The  number of unites chosen by the owner is  n=  36

Generally the population for this statistical test is  N  =  2000

This is because the 2000 is the entire pool from which a statistical sample is drawn

  Generally 36  is  the sample  because this is the number that will be statistically tested and its result will be generalized for every other element of the population

 Now if the 36 chips are all selected from the top then the sample  is not a random sample because in a sample each element of the sample  have an equal likelihood of been selected from the population but in the case of the question each element are selected base it accessibility

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.