Use the pigeonhole principle to show that if one picks nine numbers between 2 (inclusive), at...

Use the pigeonhole principle to show that if one picks nine numbers between 2 (inclusive), at least two of the numbers chosen must have a common divisor d ≥ 2

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orchestra answered 2 years ago

Using only real numbers between 0 and 100, inclusive, show the set of three numbers whose...

Using only real numbers between 0 and 100, inclusive, show the set of three numbers whose product is 64 and whose sum is minimal is give by {4, 4, 4}. (a) When is an absolute minimum or maximum guaranteed? (b) State the steps to find an absolute minimum and maximum. (c) Is the space closed and bounded? Explain. (d) Use Lagrange Multipliers to find the minimum and maximum please label and write neatly.

IN C++: Using a single for loop, output the even numbers between 2 and 1004 (inclusive)...

IN C++: Using a single for loop, output the even numbers between 2 and 1004 (inclusive) that iterates (loops) exactly 502 times. The outputted numbers be aligned in a table with 10 numbers per row. Each column in the table should be 5 characters wide. Do not nest a loop inside of another loop.

1.) Using excel. A random number generator picks a number from one to nine in a...

1.) Using excel. A random number generator picks a number from one to nine in a uniform manner. X ~ _________ Graph the probability distribution. f(x) = _________ μ = _________ σ = _________ P(3.5 < x < 7.25) = _________ P(x > 5.67) P(x > 5|x > 3) = _________ Find the 90th percentile. 2) using excel A subway train on the Red Line arrives every eight minutes during rush hour. We are interested in the length of time...

Write a program that prints the count of all prime numbers between A and B (inclusive),...

Write a program that prints the count of all prime numbers between A and B (inclusive), where A and B are defined as follows: A = The 5 digit unique number you had picked at the beginning of the semester B = A + 5000 Just a recap on prime numbers: A prime number is any number, greater or equal to 2, that is divisible ONLY by 1 and itself. Here are the first 10 prime numbers: 2, 5, 7,...

(Write in PythonUse a for statement to print 10 random numbers between 25 and 35, inclusive....

(Write in PythonUse a for statement to print 10 random numbers between 25 and 35, inclusive. (Write in Python)in python The Pythagorean Theorem tells us that the length of the hypotenuse of a right triangle is related to the lengths of the other two sides. Look through the math module and see if you can find a function that will compute this relationship for you. Once you find it, write a short program to try it out. (Write in PythonSearch on...

1. Use cardinality to show that between any two rational numbers there is an irrational number....

1. Use cardinality to show that between any two rational numbers there is an irrational number. Hint: Given rational numbers a < b, first show that [a,b] is uncountable. Now use a proof by contradiction. 2. Let X be any set. Show that X and P(X) do not have the same cardinality. Here P(X) denote the power set of X. Hint: Use a proof by contradiction. If a bijection:X→P(X)exists, use it to construct a set Y ∈P(X) for which Y...

Use cardinality to show that between any two rational numbers there is an irrational number. Hint:...

Use cardinality to show that between any two rational numbers there is an irrational number. Hint: Given rational numbers a < b, first show that [a, b] is uncountable. Now use a proof by contradiction

Let k ≥ 2. Use that R (the real numbers) is complete to show R^k is...

Let k ≥ 2. Use that R (the real numbers) is complete to show R^k is complete.

2) Suppose I use a random numbers table to randomly choose 900 numbers between 0 and 100....

2) Suppose I use a random numbers table to randomly choose 900 numbers between 0 and 100. In this particular sample, the mean of the 900 numbers is 50 and the standard deviation is 30. a)Approximately, what proportion of the 900 numbers should fall between 20 and 80 (inclusive)? b)Suppose each student in Static (class size = 140) repeats the experiment described above and computes the mean of his or her 900 numbers. Based on the information given above, estimate the...

Which of the following represent a number between 0 and 1, inclusive? Select one: a. Coefficient...

Which of the following represent a number between 0 and 1, inclusive? Select one: a. Coefficient of Kurtosis b. Coefficient of Skewness c. Coefficient of Determination d. Coefficient of Correlation e. None of these

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