A coin is flipped 8 times in a row (assume all outcomes are equally likely).For each of the following questions, you should write your answer as an expression. Do not give thefinal numeric value. For example, you should write C(4,2)/24 instead of 0.375. Q1.2 What is the probability that it lands on heads at least twice?

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Answered: A coin is flipped 8 times in a row…

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter4: Selection Structures

Section: Chapter Questions

Problem 14PP

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Correct answer will be upvoted else downvoted. Computer science. After painting the white cells of the board, you want to place the maximum number of dominoes on it, according to the following rules: each domino covers two adjacent cells; each cell is covered by at most one domino; if a domino is placed horizontally (it covers two adjacent cells in one of the rows), it should cover only red cells; if a domino is placed vertically (it covers two adjacent cells in one of the columns), it should cover only blue cells. Let the value of the board be the maximum number of dominoes you can place. Calculate the sum of values of the board over all 2w possible ways to paint it. Since it can be huge, print it modulo 998244353. Input The first line contains two integers n and m (1≤n,m≤3⋅105; nm≤3⋅105) — the number of rows and columns, respectively. Then n lines follow, each line contains a string of m characters. The j-th character in the i-th string is * if the j-th cell in the i-th row…
An argument is expressed in English below. Rhys will go to the beach. If Rhys is excited; then Rhys will go to the beach. Rhys is excited. Variable names are assigned to each English phrase as follows: p: Rhys is excited •q: Rhys will go to the beach Is the argument valid? If valid, then indicate which rule is used for the argument. If invalid, then give truth assignments to the variables that prove the argument is invalid. Pick 4. Check Next
Scenario As you surely know, due to some astronomical reasons, years may be leap or common. The former are 366 days long, while the latter are 365 days long. Since the introduction of the Gregorian calendar (in 1582), the following rule is used to determine the kind of year: if the year number isn't divisible by four, it's a common year, otherwise, if the year number isn't divisible by 100, it's a leap year. otherwise, if the year number isn't divisible by 400, it's a common year. otherwise, it's a leap year. none of the above year int(input("enter the year")) if (year%4 1-0) and (year%400 -0) or (year % 1000): print (year is common year") else: print(year, is leap year") year= int(input ("enter the year")) if (years !-0) or (year480 1-0) and (year % 1001-0): print(year is common year") else: print(year, "is leap year") D year= int(input("enter the year"))
A video player plays a game in which the character competes in a hurdle race. Hurdles are of varying heights, and the characters have a maximum height they can jump. There is a magic potion they can take that will increase their maximum jump height by unit for each dose. How many doses of the potion must the character take to be able to jump all of the hurdles. If the character can already clear all of the hurdles, return . Example The character can jump unit high initially and must take doses of potion to be able to jump all of the hurdles. Function Description Complete the hurdleRace function in the editor below. hurdleRace has the following parameter(s): int k: the height the character can jump naturally int height[n]: the heights of each hurdle Returns int: the minimum number of doses required, always or more Input Format The first line contains two space-separated integers and , the number of hurdles and the maximum height the character can jump naturally.The…
True or False? The expression ! (x > 0) is true only if x is a negative number.
True or False If the value of y is 3.14, calling Math.floor(y) will return 3 and calling Math.ceil(y) will return 4.
Simulate the dice game of lucky sevens. The rules are: roll two dice if the sum equals 7, win $4 if the sum is not 7, lose $1 Write a program that asks the user how much they would like start the game with. The program should then: simulate the dice roll (using the random function) and show what was rolled show what the user’s funds are after each roll ask the user if they want to roll again if the user wants to roll again, repeat the three actions above if the user does not want to roll again give some response and end the game the final output should show if they won or lost money, and how many rolls they played
Write a game of rock paper scissors, one of the choices will be from the user and the other from the computer (use random) Print results for each game.Play the games in a row until you exit the game. Explain each step as comment.Game rules:Rock crushes scissors, you win.Paper covers rock, you win.Scissors cut paper, you win
plz solve it asap ????????: Write a program for a game that consists of two players. The rule of the game is that player 1 inputs a random number from 1-100. Player 2 will input 5 numbers. If the summation of those numbers is equal to the number OR less than or greater than the number by 3 (+3 or -3), then player 2 wins. Otherwise, player 1 wins. Test Case 1 Input Player 1, enter a number: 50 Player 2, enter a number: 10 Player 2, enter a number: 10 Player 2, enter a number: 20 Player 2, enter a number: 5 Player 2, enter a number: 7 Output Player 2 wins Explanation: The summation of 10,10,20,5 and 7 is 52 which is greater than 50 by 2. According to the rule, player 2 wins. Test Case 2 Input Player 1, enter a number: 50 Player 2, enter a number: 10 Player 2, enter a number: 10 Player 2, enter a number: 20 Player 2, enter a number: 5 Player 2, enter a number: 1 Output Player 1 wins Explanation: The summation of 10,10,20,5 and 1 is 46 which is less than 50 and also doesn’t…
Question 4 Rewrite the following statement without using variables. Then, give an exam- ple that shows the statement is true. There exist two real numbers a and b such that ab > a + b. Question 5 Rewrite the following statement without using variables. Then, give an exam- ple that shows the statement is false. For any positive integer n, n³ > n².
Exercise III: Catalan numbers For n e N, denote by c, to be the number of ways to form a "mountain range" with n upstrokes (U) and n downstrokes (D) that all stay above a horizontal line. For instance: for n = 1, only UD is allowed, so c = 1; • for n = 2, only UUDD and UDUD are allowed, so c2 = 2. 1. Check that c3 = 5 by writing down or drawing all possible options. 2. Consider the power series +00 g(x) = 2 n=0 (by definition co = 1) called the generating function of the sequence (en). Justify that cn < 4" for each n, and deduce that the radius of convergence of g is at least 1/4. 3. It can be show that for r E (-1/4, 1/4), g(x) = 1+ xg(r)? and therefore 1- VI 4.x g(x) = 2.x Use this formula and the known power series of V1+ x to write the first terms of the power series expansion of g, in the form g(x) = co + c1x + c2x2 + C3x + c4x* + ·.. Show how you obtain a few terms, but you do not need to show all computations and you can use a calculator for fractions. Check that you recover co,…
Now, you are ready to y-(-8)=5(x-(-1)) Remove the parentheses

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