Answer:
Z-score = 1.18
Step-by-step explanation:
The z-score measures how many standard deviations from the mean a data is
Therefore the z score is the quotient between the difference between a value and the mean and the standard deviation
Where
μ is the mean, x is a data of the population and is the standard deviation
In this case
Then the z-score is
Answer:
a)
Step-by-step explanation:
Step(i):-
Given - 2 √3 + √75
we know that 25 × 3 = 75
- 2 √3 + √75
= -2 √3 +
By using
=
=
=
=
Answer:
y = 3x + 18
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 9, - 9) and (x₂, y₂ ) = (- 6, 0)
m = =
= 3, thus
y = 3x + c ← is the partial equation of the line
To find c substitute either of the 2 points into the partial equation
Using (- 6, 0), then
0 = - 18 + c ⇒ c = 0 + 18 = 18
y = 3x + 18 ← equation of line