In a survey of some students, 55% of the students like basketball, 65% lik cricket and 35% like basketball as well as cricket .
1 answer:
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Answer:
x^2/25 +y^2/9 = 1
Step-by-step explanation:
You can think of an ellipse as a circle with a different scale factor in the x-direction than in the y-direction. When either dimension is stretched by a factor of k, the corresponding variable (v) is replaced by (v/k).
Here, the unit circle
x^2 +y^2 = 1
is stretched by a factor of 3 vertically (in the y-direction) and a factor of 5 horizontally (in the x-direction). That means we can replace x with (x/5) and y with (y/3) in the above equation to get ...
(x/5)^2 +(y/3)^2 = 1
Traditionally, the denominator is written as a number, not a square, so the equation would be ...
x^2/25 +y^2/9 = 1
Bearing in mind that the major axis runs over the y-axis, therefore the "a" component will be under the fraction with the "y", check the picture below.
20 divided by 15/16 is
20 times 16/15 which is
(4*16)/3=
=