Purse contains four $1 bills, five $10 bills and two $5 bills. The odds of pulling out a $1 bill on the first draw are -1/11
-4/11
-11/4
-5/11

Hey there! :)

4 /11.

Step-by-step explanation:

Given:

4 $1 bills

5 $10 bills

2 $5 bills

Add up the number of bills to find the total:

4 + 5 + 2 = 11 total bills.

The probability of pulling a 1 dollar bill would be expressed as:

# of $1 bills / total

Therefore:

4 / 11 would represent this situation.

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}

the answer is b. 60. each interior angle in 120, so the exterior angle must be 60 in order to add up to 180

step-by-step explanation: