If the standard deviation of a population is 5.5, what

Suppose the average of 322, 386, 418, 499 and 'a' is 437, then ind the value of 'a'

Find the distance between points A(2, 3) and B(7, 8).

I.  x ² – 10x + 21 = 0

II. y ² – 8y + 15 = 0

The ages of two siblings, John and Mary, are in the ratio of 5:3. Five years ago, the sum of their ages was 38 years. What are their current ages?

In a circle, two chords AB and CD intersect inside the circle at P. If AP = 4 cm, PB = 6 cm, CP = 5 cm, and PD = x cm, what is the value of x?

Determine the mean of the following observations:
24, 26, 22, 25, 20, 21, 24, 25

A cone has a base radius of 6 cm and a height of 8 cm. Find its volume and slant height (use π = 3.14).