Question POOLE Homework Progress
729
Five whole numbers are written in order
4 6 x y
10
The mean and median of the five numbers are the same.
Work out the values of x and y.

and

Step-by-step explanation:

Given

4 6 x y 10

Median = Mean

Required

Find x and y

The mean is calculated as:

Collect Like Terms

The median which is the mid-data is x

i.e.

Median = Mean; so, we have:

Multiply through by 5

Collect Like Terms

Since the numbers are in order, the values of x and y could be any of 7, 8 and 9

Such that:

So, we need to test the equation with these values

Let x = 7

So, we have:

This is true for the equation.

Hence:

and

18.8 cubic inches.

step-by-step explanation:

volume of a cone = πr²h

r = 1.5 inches

h = 8 inches

pi = 3.14

volume of our cone = × 3.14 × 1.5² × 8 = 18.84 square inches

or equals to 18.8 square inches rounded up to nearest tenth.

this is false ^.^ lol