2 cubes are rolled at the same time. What is the probability that you ..
2 cubes are rolled at the same time. What is the probability that you get a number less than 3 on all the cubes? => 1 9 or 3 19 or 5 21 or 1 3..
Examples:
1. 2 and 3 are two digits and with these digits, the numbers 32 and 23 are formed. Although both numbers viz., 32 and 23 consist of the digits 2 and 3, the order of digits is different. Each of the above arrangements is called a..
1. 2 and 3 are two digits and with these digits, the numbers 32 and 23 are formed. Although both numbers viz., 32 and 23 consist of the digits 2 and 3, the order of digits is different. Each of the above arrangements is called a..Summary
The fundamental principle of counting (F.P.C) states that if an operation can be performed in m different ways and if for each such choice, another operation can be performed in n different ways, then both operations, in succession can be performed in exactly mn different ways. The principle can ..
Statistics
deals mainly in communicating facts and figures in terms of a method called statistical method. Collection, classification, tabulation, representation, reasoning, testing and drawing inferences are part of statistical methods. Rainfall patterns of a particular city over a period of time..
deals mainly in communicating facts and figures in terms of a method called statistical method. Collection, classification, tabulation, representation, reasoning, testing and drawing inferences are part of statistical methods. Rainfall patterns of a particular city over a period of time..Question 3
Question: The median of the first ten prime numbers. Answer: The first 10 prime numbers ={2, 3, 5, 7, 11, 13, 17, 19, 23, 29} ..
Question: The median of the first ten prime numbers. Answer: The first 10 prime numbers ={2, 3, 5, 7, 11, 13, 17, 19, 23, 29} ..Example 2:
A decorative item dealer deals in only two items - wall hangings and artificial plants. He has 15,000 dollars to invest and a space to store all the most 80 pieces. A wall hanging costs him 300 dollars and an artificial plant 300 dollars. He can sell a wall hanging at a profit of 50 doll..
A decorative item dealer deals in only two items - wall hangings and artificial plants. He has 15,000 dollars to invest and a space to store all the most 80 pieces. A wall hanging costs him 300 dollars and an artificial plant 300 dollars. He can sell a wall hanging at a profit of 50 doll..Some Applications of Binomial Theorem for Fractional Index
If x be numerically so small that its cube and higher powers may be x 3 , x 4 , x 5 , . are all approximately zero. If x be numerically so small that its square and higher powers may be neglected, then (1+x) n = 1+nx (approximately), because x 2 , x 3 ,..
If x be numerically so small that its cube and higher powers may be x 3 , x 4 , x 5 , . are all approximately zero. If x be numerically so small that its square and higher powers may be neglected, then (1+x) n = 1+nx (approximately), because x 2 , x 3 ,..Number Theory - Test Questions
Question 1 - Question: Show that the sum of the cubes of any number of consecutive integers is divisible by the sum of those integers. Answer: Let the consecutive integers be (n + 1), (n + 2), (n + 3),....,(n + m) Sum of the cubes of integers = S 1 ..
Question 1 - Question: Show that the sum of the cubes of any number of consecutive integers is divisible by the sum of those integers. Answer: Let the consecutive integers be (n + 1), (n + 2), (n + 3),....,(n + m) Sum of the cubes of integers = S 1 ..Sub-triplicate Ratio:
The ratio obtained by taking the cube root of the given ratio a : b is called sub-triplicate ratio. is sub-triplicate ratio of a : b. For example the sub-triplicate ratio of 8a 3 : 27b 6 is or 2a : 3b 2 . Find the compounded ratio of the ..
Conditional Probability
Let us consider the random experiment of throwing a die. Let A be the event of getting an odd number on the die. \ S = {1, 2, 3, 4, 5, 6} and A = {1, 3, 5} Let B = {2, 3, 4, 5, 6}. If, after the die is thrown, we are given the information,..
Let us consider the random experiment of throwing a die. Let A be the event of getting an odd number on the die. \ S = {1, 2, 3, 4, 5, 6} and A = {1, 3, 5} Let B = {2, 3, 4, 5, 6}. If, after the die is thrown, we are given the information,.. Result
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