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Determine the force between two positively charged particles that are separated by a distance of 3.71cm and that have charges of 1.4 x 10-5C and 3.2 x 10-5C.
Using proof by contraposition, show that if n is an integer and 5 added to its cube is odd then n is even. Before showing your solution, rewrite the statement to the proper form of a conditional statement then assign variables to the simple propositions. Show also the contrapositive form of the simple propositions before proceeding to your solution.
Use proof by contradiction to show that a number is even if its square is even. Before showing your solution, rewrite the statement to the proper form of a conditional statement. Assign variables to the simple propositions then write your assumption using these variables and logic symbols. At the end of your solution
Use proof by cases to prove that the sum of two integers is even if they have the same parity.Before showing your solution, assign a variable to the simple propositions.
Use a counterexample to disprove the following statement: "If x is greater than y, then x divided by y is greater than 1 where y ≠ 0.
in a reading ability test, with a sample of 100 cases, the mean score is 40 and
the standard deviation is 4.0. Assuming normality, What is the probability that a score will lie below score 46
Let "\\mu" be a finite measure defined on the Borel "\\sigma"-field of R. Prove that
there exists a unique closed set F such that "\\mu"(F)= "\\mu"(R) and such that if
F1 is any closed set satisfying "\\mu"(F1) = "\\mu"(R),then F"\\subset" F1
The label on a can of pineapple slices that the mean carbohydrate content per serving of canned pineapple is less than 50 grams. It may be assumed that the standard deviation of the carbohydrate content is 4 grams. A random sample of forty servings has a mean carbohydrate content of 52.3 grams. Is the company correct in its claim? Use level of significance 0.05.
True or False. Prove if they are true or false or give a counterexample:
1.Let F be a function of bounded variation on [a,b] such that F'(x) = 0 almost everywhere.
Then F is constant.
2.If f is an analytic function the annulus U = {z E C : 1 < Iz| < 4}, then f has an antiderivative in U
suppose there are four people to tested in covid 19. let P represent positive N represent negative and Z represent the number of infected persons that occur.Find the random variable Z
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#339914 on Dec 2023