A bag contains 3 red marbles, 7 blue marbles and 5 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that both marbles drawn will be blue?

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome of event/ Total outcome

If a bag contains 3 red marbles, 7 blue marbles and 5 green marbles, the total number of marbles in the bag will be the total outcome i.e 3+7+5 = 15

If two blue marbles are drawn, the expected outcome in both cases is 7 since there are 7 blue marbles in the bag.

Probability of drawing the first blue marble = 7/15

Probability of drawing the second blue marble = 7/15

Probability that both marbles drawn will be blue =  7/15*7/15

= 49/225

= 0.218 (to nearest 1000th)

irrational, then, just means all the numbers that aren't rational. every integer is a rational number, since each integer n can be written in the form n/1. however, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

step-by-step explanation:

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)