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

Given Data

Focus = (3, -9)

Directrix: y = -5

The focus-passing line has an equation of x = -5 that is perpendicular to the directrix. The symmetry line of a parabola is seen here.

The parameter of the parabola is the separation between the focus and the directrix, so

p = -9 - 3

p = -12

p = 12

The distance between the focus and the directrix is divided into two equal portions by the parabola's vertex, which is located on the line of symmetry. Its coordinates are as follows: (3,-9).

Since a parabola moves in the opposite direction of y, its equation is

y -(-9) = -2(4(x -3)²)

y + 9 = -8(x-3)²

y = -8(x -3)² - 9

The equation of parabola is y = -8(x -3)² - 9.

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1 year ago

Help please this is due today

dangina [55]

The experimental probability that in a group of 4 students, at least one of them has brown eyes is 95%.

<h3>What is Experimental Probability?</h3>

Experimental probability is a probability that is determined on the basis of a series of experiments. A random experiment is done and is repeated many times to determine their likelihood and each repetition is known as a trial. The experiment is conducted to find the chance of an event to occur or not to occur.

Here , Favorable Outcome = 19

Total outcomes = 20

Probability = Favorable Outcome/ Total Outcome

= 19 / 20

= 95%

Thus, the experimental probability that in a group of 4 students, at least one of them has brown eyes is 95%.

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2 years ago