First we calculate the z-score for this situation.
Finding <em>P</em>(x < 5.3) is the same as finding <em>P</em>(<em>z</em> < -0.8). Using a table of standard normal distribution and z-scores we see that the probability is 0.21186.
Answer:
y = (x-0)^2 + (-5) ⇒ y = x^2 - 5
Step-by-step explanation:
The general vertex form of the parabola y = a(x - h)² + k
Where (h,k) is the coordinates of the vertex.
As shown at the graph the vertex of the parabola is the point (0, -5)
So,
y = a(x-0) + (-5)
y = ax^2 - 5
To find substitute with another point from the graph like (1,-4)
So, at x = 1 ⇒ y = -4
-4 = a * 1^2 - 5
a = -4 + 5 = 1
<u>So, the equation of the given parabola is ⇒ y = x^2 - 5</u>
Answer:
3/16
Step-by-step explanation:
Let the size of the whole apple be T
Given that 3/4 of the apple is left, it means the size left
= 3T/4
Since Victor plans to eat 1/4 of the pie that was left, this amounts to
1/4 * 3T/4
= 3T/16
This means that Victor will eat 3/16 of the whole pie tomorrow
Answer:
3.5 cm
Step-by-step explanation:
6x -1 = 4x + 6
2x = 7
x = 3.5
