Abag has 2 green marbles, 3 red marbles, and 3 yellow marbles. what is the probability that you pick a green marble, do not replace it, and pick a yellow marble? a bag has 2 green marbles, 3 red marbles, and 3 yellow marbles. what is the probability that you pick a green marble, do not replace it, and pick a red marble?

Sorry, I did them out of order because I started doing the second problem first on accident.

For the second question: the probability that you choose a green marble is 2/(2 + 3 + 3) = 2/8 = 1/4. The probability that you choose a red marble without replacing the green one is: 3/(2 + 3 + 3 - 1) = 3/7. Now, multiply these two fractions together because they depend on each other:

1/4 * 3/7 = 3/28

For the first question: the probability you choose a green marble is still 1/4. The probability that you choose a yellow marble is 3/(2 + 3 + 3 - 1) = 3/7. Multiply these two fractions together and you get: 1/4 * 3/7 = 3/28 again.

The answer to both questions is 3/28.

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.

answer:  

123455421

step-by-step explanation: easy