Please I need help now Please help now 8. a) What are the odds of picking a jack, queen or king at random from a deck of cards?

b) What are the odds in favor of rolling a number greater than 3 on a die

a) 3/13

b) 1/2

Step-by-step explanation:

a) In a deck of 52 cards there are 4 Kings, 4 Queens and 4 jacks. So the probability of drawing those cards is (4+4+4)/52 = 12/52 = 3/13.

b) 1/2 because the numbers greater than 3 on a dice is 4, 5, and 6 which is half of the available options.

- "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."