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olga nikolaevna [1]
3 years ago
9

Graph the ellipse with equation x squared divided by nine plus y squared divided by sixteen = 1

Mathematics
2 answers:
Yakvenalex [24]3 years ago
8 0

Here is the picture of the answer above

gladu [14]3 years ago
6 0
X²/9 + y²/16 = 1

The general for mula of an ellipse is:

(x-h)²/a²  + (y-k)²/b² = 1. Since h = k = 0, this ellipse
x²/9 + y²/16 = 1
passes by the center O. (Note that a = 3 and b = 4)

Moreover sin b>a  so the majore axis is (on the y-axis) and a the minor axis (on the x-axis) [Its shape is as a vertical egg].

On a system of perpendicular axis that intercept in O., take on the x-axis 2 points A & B with respective coordinate A(3.0) and B(-3,0)
On the y-axis your report A'(0,+4) and B'(0,-4). So you have the vertex of the ellipse, then it's easy to draw it

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Given f (x) = 2x² +1evaluate f (-1).
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In a sample of 400 voters, 360 indicated they favor the incumbent governor. The 95% confidence interval of voters not favoring t
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The 95% confidence interval of voters not favoring the incumbent is (0.0706, 0.1294).

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Sample proportion, p = 40 / 400

= 0.1

We use normal approximation, for this, we check that both np and n(1-p) >5.

Since n*p = 40 > 5 and n*(1-p) = 360 > 5, we can take binomial random variable as normally distributed, with mean = p = 0.1 and standard deviation  = root( p * (1-p) /n )

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95% confidence interval is given by Sample Mean +/- (Margin of Error)

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1 year ago
The general form of an parabola is 4y2 + 40y + 3x + 103 = 0
valentinak56 [21]

The standard form of the parabola is   x = -4/3y² -40/3y -103/3

What is parabola?

A parabola is an approximately U-shaped, mirror-symmetrical planar curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. One way to describe a parabola is with a point and a line.

 x = -4/3(y +5)² -1

Solve for x.

 x = (4y² +40y +103)/(-3)

 x = -4/3y² -40/3y -103/3 . . . . 'standard form' in the US

__

Taking our clues from the graph*, we can write the vertex form equation as ...

 x = -4/3(y +5)² -1 . . . . . . 'standard form' in other places

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* The vertex is (-1, -5), so for some leading coefficient, the equation will be ...

 x = a(y -(-5))² +(-1) = a(y +5)² -1

The value of 'a' is the scale factor. Here, that is the difference between the parabola value (x = -2 1/3) and the vertex value (x = -1) one unit away from the vertex.

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