Z = (x - m)/s
z = (38-40)/8
z = -2/8
z = -1/4
z = -0.25
The z score is -0.25
It would be: 178.90 * 3.75%
= 178.90 * 0.0375
= 6.71
In short, Sales tax would be $6.71
Hope this helps!
Answer:
x = 9.5 m
Step-by-step explanation:
Given:
This problem is based on 2D motion kinematics equations:
At maximum height:
Components of initial velocity:
To find time to reach maximum height:
Plugging in the known values:
0 = 4.10 - 9.8t
Total time = 2t = 2(0.418) = 0.836 s
to find horizontal distance covered:
The transformed equation y = -(x - 2)^2 - 3 compared to the parent function involves translating the parent function to the right by 2 units, reflecting the function across the y-axis and translating the function 3 units down
<h3>How to compare the function to its parent function?</h3>
The equation of the transformed function is given as:
y = -(x - 2)^2 - 3
While the equation of the parent function is given as
y = x^2
Start by translating the parent function to the right by 2 units.
This is represented as:
(x, y) = (x - 2, y)
So, we have:
y = (x - 2)^2
Next, reflect the above function across the y-axis
This is represented as:
(x, y) = (-x, y)
So, we have:
y = -(x - 2)^2
Lastly, translate the above function 3 units down
This is represented as:
(x, y) = (x, y - 3)
So, we have:
y = -(x - 2)^2 - 3
Hence, the transformed equation y = -(x - 2)^2 - 3 compared to the parent function involves translating the parent function to the right by 2 units, reflecting the function across the y-axis and translating the function 3 units down
Read more about function transformation at:
brainly.com/question/8241886
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Answer:
x^2+x + 1/4
Step-by-step explanation:
x^2+x
Take the coefficient of x
1
divide by 2
1/2
Square it
(1/2)^2 = 1/4
Add this to make a perfect square trinomial