A bag contains 25 marbles (5 red ones, 8 ue ones and 12 yellow ones.) When a marble is picked at a random one at a time from the bag and not put back into the bag, what is the chance of picking a yellow one twice in a row?​

The chance of picking a yellow marble twice in a row without replacement is 0.22

Step-by-step explanation:

The given number of marbles in the bag = 25 marbles

The number of red marbles in the bag = 5 red marbles

The number of blue marbles in the bag = 8 blue marbles

The number of yellow marbles in the bag = 12 yellow marbles

The chance of picking a yellow marble = 12/25

The chance of picking another yellow when the first one is not replaced = 11/24

Therefore, the chance of picking a yellow marble twice in a row = 12/25 × 11/24 = 1/25 × 11/2 = 11/50

Therefore;

The chance of picking a yellow marble twice in a row without replacement = 11/50 = 0.22

10 glasses of juice could be made with 5 carrots, 1,500 orange juice, 2,000 papaya juice.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .