Agame spinner has regions numbered 1 through 9. if the spinner is used twice, what is the probability that the first number is 3 and the second is a 6?

The answer is

Step-by-step explanation:

Lets assume the spinner is fair spinner.

On the first spin, the probability of any specific number from 1 to nine inclusive is 1/9.

During the second spin, the same value of probability will apply.

The two probabilities are independent of each other.

Hence, the probability that the first number is 3 and the second is a 6 is given by :

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

this is not the answer this is just a question. is this middle school math?

step-by-step explanation: