PLZ HELP ASAP IM IN THE TEST ON STUDY ISLAND
Bernice wants to know which ice cream parlor is the most popular among students at her school. Which samples are random for this population and which are not?

OPTIONS
Plz just say 1. random or not or number 2 etc...
1.Four people from each of Bernices classes
2.Every 5th person that walks by the school library
3.Two people from each class during fourth period at Bernice school
4. Every third girl that walks by the cafeteria
5.Every sixth person at bernices favorite ice-cream place

1. random

2. random

3. random

3. random

4. random

5. no

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}