A single shelf holds 27 books. On one particular shelf, 8 books are best sellers. If you choose to read 3 of them randomly, what is the probability all 3 chosen are best sellers? Give your answer as an exact fraction and reduce the fraction as much as possible.

Explanation:

1. Number of possible combinations

The number of possible combinations of 3 books from 27 books, whre the order does not matter, is given by the combinatory formula:

2. Number of combinations of 3 bestsellers from 8 books that are best sellers

3. Probability of all chosen are best sellers

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.