Four books, one each on physics, chemistry, mathematics, and biology are about to be stacked on a shelf. if the books are stacked randomly, what is the probability the mathematics book is on top?

 The required probability is 25%.

Step-by-step explanation:  Given that four books, one each on physics, chemistry, mathematics, and biology are about to be stacked on a shelf.

We are to find the probability that the mathematics book is on top if the books are stacked randomly.

Let, 'M' be the event that the topmost book is of mathematics.

Then, n(M)=1.

Let 'S' represents the sample space for the experiment.

Then, n(S) = 4.

Therefore, the probability  that the mathematics book is on top is given by

Thus, the required probability is 25%.

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.