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Q. Define Multiplication Rule in probability?
Ans.
A family has two girls, Ann and Barb, and three boys, Carl, David and Earl, in it. In how many ways can the mother pick one boy and one girl to help her with the laundry? We can list all of the possibilities in a tree diagram.
There are 2 x 3 ways to choose one girl and one boy. This is no coincidence, in fact it is the multiplication rule!
In general, suppose we can do job 1 in p ways and an unrelated job 2 in q ways. Then we can do both job 1 and job 2 in p x q ways.
what is 8e^3x + 4 = 15
how to solve for x
What is the ratio of the areas of sectors I and II ? (Ans:4:5) Ans: Ratio will be 120/360 Π r 2 : 150/360 Π r 2 4/12 : 5/12 =
Question: Classify the following differential equations as linear/nonlinear. Also, what is the order of the following differential equations? Xy'-2y =x Xy'' -2y' =xsin(y)
Calculate subsequent proportion: A recipe calls for 1(1/2) cups of flour to make servings for 6 people. How much flour should be used to make servings for 4 people? Solut
1. (a) Give an example of a function, f(x), that has an inflection point at (1, 4). (b) Give an example of a function, g(x), that has a local maximum at ( -3, 3) and a local min
wha is intergration?
particular solution of equation y''''-3y''-4y=2sinx
Consider the equation x 2 y′′+ xy′- y = 4x ln x (a) Verify that x is a solution to the homogeneous equation. (b) Use the method of reduction of order to derive the second
Tangents with Polar Coordinates Here we now require to discuss some calculus topics in terms of polar coordinates. We will begin with finding tangent lines to polar curves.
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