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 the final numeric value. For example, you should write C(4,2)/24 instead of 0.375. Q1.3 What is the probability that it lands on heads more often than tails?
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- Give correct Answer else Again downvote sure....The number of permutations of a set of n items taken r at a time is given by the followingformulan!/r!(n−r)!: where n! is the factorial of n, r! is the factorial of r, and (n-r)! is thefactorial of the result of n-r. The factorial of a number n can be solved using the followingformula: n!=e−nnn√ 2πn.If there are 18 people in your class and you want to divide the class into programming teams of 3members, you can compute the number of different teams that can be arranged using this formula(n!/r!(n−r)!).Write a C++ program that determines the number of potential team arrangements. You will needto use the double type for this computation. Use the Lab Template you set-up last week, properformatting, and appropriate comments in your code. The output must be labeled clearly andformatted neatly.The number of permutations of a set of n items taken r at a time is given by the following formulan!/r!(n−r)!: where n! is the factorial of n, r! is the factorial of r, and (n-r)! is the factorial of the result of n-r. The factorial of a number n can be solved using the following formula: n !=e−n nn √ 2 πn. If there are 18 people in your class and you want to divide the class into programming teams of 3 members, you can compute the number of different teams that can be arranged using this formula (n!/r!(n−r)!). When writing a C++ program that determines the number of potential team arrangements. You will need to use the double type for this computation.
- String[] name={"John", "Mary", "Jim", "Sam"}; Which choice is correct? Group of answer choices name.get(1)="John" name.get(1)="Mary" name[1]="John" name[1]="Mary"When you use a mortgage to purchase a home, the lending institution effectively owns the home. You buy back part ownership in the home with each monthly payment. The part you have bought back is your equity in the home. If the mortgage amount is P dollars, the monthly interest rate is r as a decimal, and the term of the mortgage is t months, then your equity after k payments is E(k) = P((1 + r)k − 1) (1 + r)t − 1 dollars. In this exercise, assume that the mortgage amount is $200,000, the APR is 6% so r = .06/12 and the term of the loan is 30 years (360 months). (a) Find a formula for the equity. (b) Make a graph of the equity over 360 months, the term of the loan. (c) Does the graph show that you have half-ownership in the home halfway through the term of the mortgage? Halfway through the term of the mortgage corresponds to k1 = _______ payments. From the graph, we see that E(k1) is ________ half of the mortgage amount, so we _______ have half-ownership in the home…Don't give wrong answer otherwise I'll give you downvotes sure
- Can you answer the following questionThe interest paid on a savings account is compounded daily. This means that if you start with startbal dollars in the bank, at the end of the first day you’ll have a balance ofstartbal * (1 + rate/365)dollars, where rate is the annual interest rate (0.10 if the annual rate is 10 percent). At the end of the second day, you’ll havestartbal * (1 + rate/365) * (1 + rate/365)dollars, and at the end of n days you’ll havestartbal * (1 + rate/365)ndollars. Write a program that processes a set of data records, each of which contains values for rate, startbal, and n and computes the final account balance.Correct do else downvote sure. Please.
- When you borrow money to buy a house, a car, or for some other purposes, then you typically repay it by making periodic payments. Suppose that the loan amount is L, r is the interest rate per year, m is the number of payments in a year, and the loan is for t years. Suppose that i = (r / m) and r is in decimal. Then the periodic payment is: You can also calculate the unpaid loan balance after making certain payments. For example, the unpaid balance after making k payments is: where R is the periodic payment. (Note that if the payments are monthly, then m = 12.) Instructions Write a program that prompts the user to input the values of L, r, m, t, and k. The program then outputs the appropriate values. Your program must contain at least two functions, with appropriate parameters, to calculate the periodic payments and the unpaid balance after certain payments. Make the program menu driven and use a loop so that the user can repeat the program for different values. Example of…You are required to write a program,to store the 10 lab scores of 10 students. Also find the sum & averageof lab scores for each studentSuppose you want to deposit a certain amount of money into a savings account, and thenleave it alone to draw interest for the next 10 years. At the end of 10 years, you would like tohave $10,000 in the account. How much do you need to deposit today to make that happen?You can use the following formula, which is known as the present value formula, to find out:The terms in the formula are as follows: [5 marks]• P is the present value, or the amount that you need to deposit today.• F is the future value that you want in the account. (In this case, F is $10,000.)• r is the annual interest rate.• n is the number of years that you plan to let the money sit in the account.Write a method named presentValue that performs this calculation. The method should accept the future value, annual interest rate, and number of years asarguments. It should return the present value, which is the amount that you need to deposit today.Demonstrate the method in a program that lets the user experiment with…