3. If the average of 16, 14, x, 23, 20 is 18, find the value of x.
LA
Maths

x = 17

Step-by-step explanation:

Here, we want to find the value of x

mathematically, the mean is the sum of the numbers divided by the count of the numbers

The count of the numbers is 5

So we have;

(16 + 14 + x + 23 + 20)/5 = 18

73 + x = 5(18)

73 + x = 90

x = 90-73

x = 17

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step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is