Each letter of the alphabet is printed on an index card. What is the theoretical probability of randomly choosing any letter except Z? Write your answer as a fraction or percent rounded to the nearest tenth.

25/26 or 96.2%

Step-by-step explanation:

In the alphabets, we have 26 letters

If we remove Z, we have A -Y which is 25 alphabets

The question requires us to find the theoretical probability of choosing any other letter that is not Z

Probability= ratio of other alphabets that are not z to the number of letters in the alphabets.

Probability = 25/26 (as a fraction)

Probability = 0.9615 x 100 = 96.2% (as a percentage and to the nearest tenth)

- "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."