The equation to find P(A and B) is P(A and B)= P(A) x P(B/A). P(B/A) stands for probability of B given A. First we need to find out the P(A). The P(A) is 8/13 because you have 13 marbles total and 8 white marbles. For P(B/A), it is 5/12. This is because there are 5 red marbles and given that A happened, there would only be 12 marbles left in the bag, leaving you with a 5/12 chance of getting a red marble. Now plug it in. 8/13 x 5/12 = 40/156, which simplifies down to 10/39. Thus, B is the answer.
The equation is the given one:
Which is the same as:
And the interval of the angle θ must be (0°,90°) so, 2θ must be (0°,180°).
So the statement is True.
Answer:
a) If the diameter is 400 feet wide, then the radius is half that, which is 200 feet wide.
b) The circumfernce is π times the diameter, which is 400 feet. 400×π≈1256.64
c) She is not correct. She squared 400, which is 160000, when she should have squared 200, which is 40000. Then, multiply by π.
40000 × π ≈ 125663.7
A line has no thickness, but it does have direction and infinite length.
A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that can be stretched indefinitely in opposing directions.
Given the variety of geometries in modern mathematics, the idea of a line is directly related to how the geometry is described. For instance, a line in the plane is frequently defined in analytic geometry as the collection of points whose coordinates satisfy a given linear equation, but in a more abstract context, such as incidence geometry, a line may be an independent object, distinct from the collection of points that lie on it.
In cartesian plane the general equation of a line is given by :
y=mx+c where the slope is denoted by m and the y-intercept by c.
To learn more about a straight line:
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Answer: 20, 140, 240
Step-by-step explanation:
