Programming Exercise 10 in Chapter 6 asks you find the mean and standard deviation of five numbers. Extend this programming exercise to find the mean and standard deviation of up to 100 numbers. Suppose that the mean (average) of n numbers x1, x2, . . ., xn is x. Then the standard deviation of these numbers is: S=sqrt(((x1-x)^2+(x2-x)^2+...+(xi-x)^2+...+(xn-x)^2)/n)
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S=sqrt(((x1-x)^2+(x2-x)^2+...+(xi-x)^2+...+(xn-x)^2)/n)
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- 38. The geometric mean g of n numbers x; is defined as the nth root of the product of x;: g=Vx1x2X3•…Xn (This is useful, for example, in finding the average rate of return for an investment which is something you'd do in engineering economics). If an investment returns 15% the first year, 50% the second, and 30% the third year, the average rate of return would be (1.15*1.50*1.30)") Compute this.[Unbalanced Rod] Given a set of n weights {w₁,..., wn} and a rod of length n - 1 inches, we can attach the weights to the rod at hooks placed at one inch distances apart as shown in the figure below. -1". /10 2 3 12 2 4 We can attach a weight to any hook but no two weights can be attached to the same hook and we have to attach all the weights. For any given assignment of weights to hooks, we can compute the location of the center of mass of the rod and the weights according to the following equation (neglecting the weights of the rod and the hooks). where 0 ≤ Pi≤n-1 is the position of weight along the rod. For example, in the figure shown above, the center of mass is computed as C= C = i Wi Pi Σi Wi 10 0+2 1+3·2+4·3+12.4 +2.5 10+2+3+4+12+2 78 33 The problem is to find an assignment of weights to hooks that makes the center of mass as far as possible to the left, i.e., minimize the value of c. Answer the following questions. 1. Describe a greedy algorithm that finds the assignments that…[Fish Tank] You play with a clown fish that has an initial size so. The fish can eat other fish in a tank organized in m columns and n rows. The fish at column i and row j has a positive size si,j. When your fish eats another fish, it grows by that amount. For example, if your clown fish has a size of 10 and eats a fish of size 5, it becomes of size 15. You cannot eat a fish that is bigger than your size. The game starts by eating any fish in the first (left-most) column that is not bigger than yours. After that, you advance one column at a time by moving right. You have only three allowed moves. You either stay at the same row, move one row higher or one row lower. You will always move to the right. Thus, you will make exactly m moves to advance from left to right. Your goal is to exit the fish tank from the right with the biggest possible size. The figure below shows an example with the best answer highlighted. In this case, the final fish size is 71 (10+8+7+24+22). You are required…
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Gets…Computer Science This is an introductory exercise to the manipulation of random variables with Python as a language for scientific computing and numerical computation. You have: f(x) = Ae-0.1x)° 4 x*, 05. Given # > 3 points P₁ = (x₁, y₁), …….‚ P₂ = (x₂‹ Yn) in the coordinate plane, design an algorithm to check whether all the points lie within a triangle with its vertices at three of the points given. (You can either design an algorithm from scratch or reduce the problem to another one with a known algorithm.)Let A = {a, b, c} and B = {u, v}. Write a. A × B b. B × AQ3: Interplanetary Spaceflight Milan Tusk is the richest person in the universe. After devoting decades of his life to further our space exploration technologies, he’s finally ready to retire. Being a space enthusiast, the first thing he wants to do is visit n planets p1, p2, …, pn, in this order. He’s currently on planet p0. Milan knows that the distance between planets pi and pi + 1 (for 0 ≤ i < n) is d[i]light years. His spaceship uses 1 tonne of fossil fuels per light year. He starts with a full tank and can fill up his tank at any of the n planets (but he must not run out in between two planets). There’s a huge cost to set up the spaceship for refuelling. Due to financial constraints (he’s not THAT rich), he can fill up his tank at most ktimes. In order to save money and make his spaceship lighter, Milan is looking for the smallest possible fuel tank that enables him to complete his space travel and reach planet pn. What is the smallest tank capacity that enables him to do so?…Java Assignment: Mathematics is the very interesting subject and for the India it is also a point of pride because Mr. Brahmagupta gives the 0 to world. So, in this series 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 gave 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. Since Sammer is new to the program, he has asked you to resolve the issue using C++ Programming language. Input: 1 4 142-5 3 -8 5 2 Output: -50Python only* Use recursive function*. Define concentricCircles with 4 parameters Use def to define concentricCircles with 4 parameters here is the specification for concentricCircles function: It draws a series of concentric circles, where the first parameter specifies the radius of the outermost circle, and the second parameter specifies the number of circles to draw. When viewed as nested rings, all rings should have the same thickness. The third and fourth parameters specify an outer color and an other color, respectively. The outer color is used for the outermost circle, and then every other circle in to the center alternates between that color and the other color. We will test both how many circles are drawn as well as whether the correct circles are drawn in the correct order. Hint: Each function call frame only needs to draw a single circle. Note that you must use the turtleBeads drawDot function to draw each circle Do not use any kind of loop Within the definition of…Q2: In this question, you will write a Python function to compute the Hadamard product of two matrices. The Hadamard product is the "component-wise" product of two matrices. That is, each entry of the product matrix is equal to the product of its corresponding entries of the input matrices. Here is an example: a11 a12 a21 a22 a23 a31 a13 SH a32 033 A b11 b12 b13 b21 b22 b23 b31 b32 b33. B = [an bu a21 b21 a31 b31 a12 b12 a22 b22 a32 b32 a13 b13 a23 b23 a33 b33. Hadamard product of A and B Write a Python function to compute the Hadamard product of two matrices as follows. a) The inputs to the function are two matrices. b) The function should check whether the two matrices have the same size. If not, it should print "The input matrices are not of the same size". c) If two matrices are of the same size, the function computes the Hadamard product and returns the answer. Use for loops to compute the Hadamard product.Python only* Use recursive function*. Define concentricCircles with 4 parameters Use def to define concentricCircles with 4 parameters here is the specification for concentricCircles function: It draws a series of concentric circles, where the first parameter specifies the radius of the outermost circle, and the second parameter specifies the number of circles to draw. When viewed as nested rings, all rings should have the same thickness. The third and fourth parameters specify an outer color and an other color, respectively. The outer color is used for the outermost circle, and then every other circle in to the center alternates between that color and the other color. We will test both how many circles are drawn as well as whether the correct circles are drawn in the correct order. Hint: Each function call frame only needs to draw a single circle. Note that you must use the turtleBeads drawDot function to draw each circle Do not use any kind of loop Within the definition of…SEE MORE QUESTIONS