f the domain consists of all integer numbers, then the truth value of ∃x(x2 = -1) is:
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f the domain consists of all integer numbers, then the truth value of
∃x(x2 = -1) is:
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- IN JAVA PROgramming Write a function that swaps the first pair (1st and 2nd characters) with the second pair (3rd and 4th characters) for every quadruplet substring. Examples swap Two ("ABCDEFGH") → "CDABGHEF" swapTwo ("AABBCCDDEEFF") → "BBAADDCCFFEE" swap Two ("munchkins") → "ncmuinhks" swap Two("FFGGHHI") → "GGFFHHI"2- Let a = [123; 2 3 4; 12 5], b = [ 2133 points ; 50 -2; 2 3 -1] prod = a* b. What is the value of prod?SCALA Programming Problem Stone Pit is a game in historic roman time, that involves removing stones from tower of stones. The rules of this game are mentioned under: • At first there are X group of stones, numbered 1 through x. Two warriors can play and they take alternate turns. If the bitwise XOR of all group equals 0 before a warrior's chance, then that warrior is declared winner. When warrior's turn comes, they must choose one of the remaining groups and remove it. Develop a SCALA program to decide which warrior wins, given that both warriors are expert at this game. Sample Input: 1 3 561 Sample Output: First Warrior
- Python only Rajesh loves lucky numbers. Everyone knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, the numbers 47,744, 4 are lucky and 5, 17,467 are not. Let Fa(x) equal the number of digits d in the decimal representation of the positive integer x. Chef is only interested in F4(x) and F7(x) functions. For a given positive integer N, he wants to know the total number of distinct pairs (L; R) such that F4(L) + F4(L + 1) + ... + F4(R) equals F7(L) + F7(L + 1) + ... + F7(R) and 1Q B Tolon 4, Use any method to determine whether the EXOR operator is distributive-i.e., does AD(B+C) = (ADB)+(ADC)?Solution in javaLibrary tion formula is a=(v_(2)-v_(1))/(t), Solve for v_(1).Python only Rajesh loves lucky numbers. Everyone knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, the numbers 47,744, 4 are lucky and 5, 17,467 are not. Let Fa(x) equal the number of digits d in the decimal representation of the positive integer x. Chef is only interested in F4(x) and F7(x) functions. For a given positive integer N, he wants to know the total number of distinct pairs (L; R) such that F4(L) + F4(L + 1) + ... + F4(R) equals F7(L) + F7(L + 1) + ... + F7(R) and 1C++ Assignment: Rajesh is very good in mathematics since the starting classes and want to be great mathematician like Brahmagupta. He is keep practicing for her goal achievement. Once He knew about the Vector dot Product So He asked his friend Sammer the problem. He her two vectors A and B length N. He asked him to reduce the dot output of these two vectors. Sammer has the option to change the order of the objects of these two carriers i.e., in any two objects I and j at any vector can change the shape of these objects. gave Since Sammer is new to the program, he has asked you to resolve the issue using C++ Programming language. Input: 1 2 1-2 -3 8 Output: -19Python only Rajesh loves lucky numbers. Everyone knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, the numbers 47,744, 4 are lucky and 5, 17,467 are not. Let Fa(x) equal the number of digits d in the decimal representation of the positive integer x. Chef is only interested in F4(x) and F7(x) functions. For a given positive integer N, he wants to know the total number of distinct pairs (L; R) such that F4(L) + F4(L + 1) + ... + F4(R) equals F7(L) + F7(L + 1) + ... + F7(R) and 1Part (a) Write a python function that computes the binomial coefficient ("). The function should return the correct answer for any positive integer n and k where k=m pass Part (c) Suppose that the number of people in the trial is 100. Then: • Plot a curve that shows how the probability of type 1 error changes with the choice of m, for m = 1,...n assuming that the null hypothesis holds (in red), • On the same picture, plot the probability of type 2 error vs the value of m in the case in which the new drug is effective with proability 0.68 (in blue). You can plot the two curves using matplotlib.pyplot. You can select the color by passing color='r' or color='b' to the plt.plot() function. [4]: n - 100 # your code here def plot_curve (): pass [5]: plot_curve() Part (d) Based on the picture above, what value of m do you think would be suitable to keep both type 1 and type 2 error small at the same time? 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