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Option C: 0.8889 is the probability of choosing an orange marble and a green marble.
<h2>Given that:</h2>- Number of red marbles is 5
- Number of orange marbles is 2
- Number of yellow marbles is 1.
- Number of green marbles is 2.
So there are in total 10 marbles.
Two marbles can be chosen in ways = 90/8
Now the favorable event is when one green marble and one orange marble is chosen. The number of ways this can be done is
The resultant probability is calculated by:
Thus the needed probability is 0.08889 given by option C.
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In order to find the Perimeter of the Rectangle, First we need to find the Length and Width of the Rectangle.
Distance between two points (x₁ , y₁) and (x₂ , y₂) is given by :
There are two lengths in a rectangle. Let us find any one length of the rectangle.
I'm considering the length with co-ordinates (-8 , 2) and (-2 , 10)
Here : x₁ = -8 and x₂ = -2 and y₁ = 2 and y₂ = 10
Substituting the values in the distance formula, We get :
There are two widths in a rectangle. Let us find any one width of the rectangle.
I'm considering the width with co-ordinates (-2 , 10) and (2 , 7)
Here : x₁ = -2 and x₂ = 2 and y₁ = 10 and y₂ = 7
Substituting the values in the distance formula, We get :
Perimeter of a Rectangle is given by : 2[Length + Width]
Perimeter of the given rectangle = 2[10 + 5]
Perimeter of the given rectangle = 2[15]
Perimeter of the given rectangle = 30
<u>Answer</u> : Perimeter of the given rectangle is 30 square units