A bag contains 77 orange marbles and 21 green marbles. If a representative sample contains 33 orange marbles, then how many green marbles would you expect it to contain? Explain. 100 points :)

Because the ratio of orange marbles to green marbles is ___ in the population, the expected number of green marbles is ___ times the number of orange marbles in the representative sample. There should be ___ green marbles.

9 green marbles are expected in the representative sample.

The expected number of green marbles is 0.27 times the number of orange marbles in the representative sample.

Step-by-step explanation:

Given that,

The ratio of orange marbles to green marbles is in proportion to the ratio of orange marbles to green marbles in the representative sample.

To find the value of x :

The proportions are 77/21 = 33/x

Cross multiplying the denominators and keeping x alone on one side,

x = (33 × 21) ÷ 77

x = 693 ÷ 77

x = 9 green marbles.

Therefore, the number of green marbles expected in the representative sample is 9.

To find the how many times the green marbles is to the number of orange marbles in representative sample = 9/33 = 0.27 times.

The green marbles is 0.27 times to orange marbles in the representative sample.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!