A random sample of 10 subjects have weights with a standard deviation of 11.0995 kg. What is the variance of their weights?

Step-by-step explanation:

We are given that

Standard deviation, s=11.0995 kg

Sample size, n=10

We have to find the variance of their weights.

We know that

Variance=

Using the formula

The variance of their weights

=

=

Hence, the variance of their weights=

- "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."