The graph shows the number of each kind of book in Hero's personal library. A book is chosen randomly.
What is the probability that the book is a romance book?

Step-by-step explanation:

Probability

The simple probability of a random event can be calculated as the ratio between the possible favorable cases and the total possible cases.

The pie chart shows the number of books in Hero's library grouped by category.

The total number of books is 14 + 10 + 4 + 2 = 30

The number of romance books is 2

Thus, the probability of randomly choosing a romance book out of the total books is:

Simplifying:

This corresponds to the first option

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- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."