What is the equation of the axis of symmetry of this parabola? y=-5(x+4)^2+3
1 answer:
Answer:
Step-by-step explanation:
Given the equation of parabola
This is the vertex form of the parabola equation. Hence, the vertex of the parabola is at point
This parabole goes downwards in y-direction (the leading coefficient -5 is negative)
<u>The axis of symmetry</u> of parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.
Thus, the equation of the axis of symmetry is
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Answer:
And if we solve for a we got
So the value of height that separates the bottom 20% of data from the top 80% is 23.432.
Step-by-step explanation:
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where and
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
As we can see on the figure attached the z value that satisfy the condition with 0.20 of the area on the left and 0.80 of the area on the right it's z=-0.842
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
So the value of height that separates the bottom 20% of data from the top 80% is 23.432.
Answer: 9
Step-by-step explanation:
