You spin the spinner and flip a coin. Find the probability of the compound event.

The probability of spinning a prime number and not flipping heads is...

3/10 or 0.3

Step-by-step explanation:

The numbers in the spinners are given to be:

{1,2,3,4,5}

Total number of outcomes are: 5

On spinning the spinner, the outcomes which are prime are:

{2,3,5}

Hence, the probability that a prime number is obtained is:

3/5

Also, the probability that a head is not obtained i.e. a tail is obtained is:

1/2

Hence, the compound probability of spinning a prime number and not flipping head is:

3/10 or 0.3

This answer was copied and pasted from "virtuematane" on I just wanted to make sure you got your answer. Thank you virtuematane!

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}

jml angle lkj & angle mj = lm