A bag contains:
5 red marbles, 6 blue marbles, 3 green marbles, 4 black
marbles, 2 yellow marbles.
A marble will be drawn from the bag and replaced 200 times.
What is a reasonable prediction for the number of times a
yellow or green marble will be drawn?
( a) 20
b) 30
c) 50
d) 40

c) 50

Step-by-step explanation:

There are 5 red marbles, 6 blue marbles, 3 green marbles, 4 black

marbles, 2 yellow marbles for a total of 20 marbles

P (yellow or green marble) = number of green or yellow marbles/ total      

                                             = 5/20 = 1/4

Take the probability times the number of draws to determine the number of times we would expect to see a green or yellow marble

1/4 * 200 = 50

this is answer of 144 cubic meters

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.