Abag contains 6 red 4 blue and 8 green marbles how many marbles of each color shoul be added so that the total number of marbles is 27 but the probability of randomly selecting one marble of each color remains unchanged

3 red, 2 blue and 4 green marbles.

Step-by-step explanation:

Presently the bag contains 18 marbles.

Probability of selecting a red marble in the bag of 18 marbles = 6/18 = 1/3.

Probability of getting a blue is 2/9 and of getting green is 4/9.

So if we have 27 marbles the probability of a red  must be 1/3 so we must have 1/3 * 27 = 9 reds.

In a similar calculation there would have to be 2/9 * 27 = 6 blues and

4/9 * 27 = 12 green marbles.

So we have to add 9-6 = 3 red, 6-4 = 2 blue and 12-8 = 4 green marbles.

the total estimated nappy use.=10,500,000

step-by-step explanation:

given that on an average the average baby uses 3528 napkins.

in a particular year 2014, the number of births were 299697 in new south wales.

rounding off the number of births to the nearest hundred thousand we have

no of birtsh = 300000

also rounding off the average usage to nearst thousand we get

average use of a baby = 3500

hence total number of nappy estimated to be used = 3500x300000

= 10,500,000

answer is 10,500,000 nappies

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true