Answer: Norm Alpina did better with z-score 0.79
Step-by-step explanation:
Z score formula = (raw score - mean) / standard deviation
For Jack Hartig,
score = 4; mean = 2.9; standard deviation = 2.1
Hence, Z score = (4 - 2.9) /2.1
= 1.1/2.1
= 0.52
For Norm Alpina,
score = 8; mean = 6.5; standard deviation = 1.9
Hence, Z score = (8 - 6.5) /1.9
= 1.5/1.9
= 0.79
Relatively, Norm Alpina did better for having Z score 0.79
Answer:
The vertex or top is ( 2, -9)
Step-by-step explanation:
Given y = (x - 5 ) * ( x + 1 )
x² - 4x - 5
See attachment.
The vertex of the parabola is the Top.
The vertex of a parabola is the point where the parabola crosses its axis of symmetry.
If the coefficient of the x² term is positive, the vertex will be the lowest point on the graph, the point at the bottom of the “ U ”-shape. If the coefficient of the x² term is negative, the vertex will be the highest point on the graph, the point at the top of the “ U ”-shape.
The standard equation of a parabola is it
y = ax² + bx + c.
But the equation for a parabola can also be written in "vertex form": y = a(x−h)² + k
In this equation, the vertex of the parabola is the point (h,k) = (2, -9)
Given the equation of parabola: y = -x² - 2x - 5
y = ax² + bx + c and negative value of 'a' tell us that it is a downward open parabola whose axis of symmetry would be x = k.
where k is the x-coordinate of vertex of given parabola.
Finding the vertex of parabola, x =
So, the axis of symmetry for this parabola is x = -1.
The answer is B hope this helps :D
-12>/5x-9
+9 A Los dos lados
-3>/5x
÷5 Los dos lados
-3/5 >/ x
x </ -3/5