Considering the parabolic equation, the equation for the directrix is given by x = 4.9375.
<h3>What is the equation of a parabola given it’s vertex?</h3>
The equation of a horizontal quadratic function, of vertex (h,k), is given by:
(y - k)^2 = 4p(x - h)
The directrix is given by:
x = h - p.
In this problem, the equation is given by:
(y - 2)² = 0.25(x - 5).
Hence h = 5, p = 0.25/4 = 0.0625, hence the directrix is:
x = h - p = 5 - 0.0625 = 4.9375.
More can be learned about parabolic equations at brainly.com/question/24737967
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Basically we have to calculate P X < 0.95. By using the normal distribution formula for any random variable we can get our answer.
SO first from z table we will have to check the corresponding z value from the table. After we get that value we can do X - mean / the std dev = that particular value that i am naming A.
SO X - 5 / 0.5 = A. Now we can solve X for our answer.
X=3
y=5
You have to cancel out either the x values or the y values (I chose y). You multiply both equations by particular numbers so either the x values or y values can be equal to each other, as well as positive or negative to each other. I multiplied -7y by 4 and 4y by 7, and got -28y and 28y. I then canceled those out. The numbers you multiply by also affects the rest of the equations, so I ended up with 48x=4 and -35x=35. After that, you combine like terms, which results in 13x=39. You divide 13 by both sides and you end up with x=3. To find y, all you have to do is plug in the x value to one of the equations, then solve for y. I resulted in y=5.
Hope this helped ^_^
I think it's 7/24 of her savings will be spent on food.
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