Type an equation for the following
, 2, 3, 4, 5
/2, 9, 15/2, 6, 9/2
y=-3/2x + ?

see explanation

Step-by-step explanation:

This is a linear pattern with the equation in the form

y = mx + c

To find m use the points (2, 9) and (4, 6) and the formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

m = = = - , thus

y = - x + c ← is the partial equation

To find c substitute any ordered pair from the table into the partial equation.

Using (2, 9), then

9 = - 3 + c ⇒ c = 9 + 3 = 12

y = - x + 12 ← equation for pattern

z-score = 0.741

Step-by-step explanation:

The provided information are:

Population mean = 103

Population standard deviation = 2.7

Score (X) = 105

The formula to calculate the z-score is:

The z- score can be calculated as:

Hence, the z-score is 0.741.