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C++ for Engineers and Scientists
4th Edition
ISBN: 9781133187844
Author: Bronson, Gary J.
Publisher: Course Technology Ptr
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
Transcribed Image Text: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.

Transcribed Image Text:Q1.2 What is the probability that it lands on heads at least twice?
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- When you borrow money to buy a house, a car, or for some other purpose, you repay the loan by making periodic payments over a certain period of time. Of course, the lending company will charge interest on the loan. Every periodic payment consists of the interest on the loan and the payment toward the principal amount. To be specific, suppose that you borrow $1,000 at an interest rate of 7.2% per year and the payments are monthly. Suppose that your monthly payment is $25. Now, the interest is 7.2% per year and the payments are monthly, so the interest rate per month is 7.2/12 = 0.6%. The first months interest on $1,000 is 1000 0.006 = 6. Because the payment is $25 and the interest for the first month is $6, the payment toward the principal amount is 25 6 = 19. This means after making the first payment, the loan amount is 1,000 19 = 981. For the second payment, the interest is calculated on $981. So the interest for the second month is 981 0.006 = 5.886, that is, approximately $5.89. This implies that the payment toward the principal is 25 5.89 = 19.11 and the remaining balance after the second payment is 981 19.11 = 961.89. This process is repeated until the loan is paid. Write a program that accepts as input the loan amount, the interest rate per year, and the monthly payment. (Enter the interest rate as a percentage. For example, if the interest rate is 7.2% per year, then enter 7.2.) The program then outputs the number of months it would take to repay the loan. (Note that if the monthly payment is less than the first months interest, then after each payment, the loan amount will increase. In this case, the program must warn the borrower that the monthly payment is too low, and with this monthly payment, the loan amount could not be repaid.)arrow_forwardWhat is the result of the following expression: 3 * 5 \ 2 + 30 / 5? 7.5 13 13.5 None of the above.arrow_forwardWhat is the output of the following code segment?inte=5,f=10;if(eff0)Write(Purple) inte=5,f=10;if(eff0)Write(Purple) else Write(Gold); Purple Gold PurpleGold nothingarrow_forward
- What is the opposite of greater than?arrow_forwardWhat is the result of the following expression: 96 Mod 30? 3 3.2 6 None of the above.arrow_forward(Simulation) Write a program to simulate the roll of two dice. If the total of the two dice is 7 or 11, you win; otherwise, you lose. Embellish this program as much as you like, with betting, different odds, different combinations for win or lose, stopping play when you have no money left or reach the house limit, displaying the dice, and so forth. (Hint: Calculate the dots showing on each die with the expression dots=(int)(6.0randomnumber+1), where the random number is between 0 and 1.)arrow_forward
- The program in the Programming Example: Fibonacci Number does not check whether the first number entered by the user is less than or equal to the second number and whether both the numbers are non-negative. Also, the program does not check whether the user entered a valid value for the position of the desired number in the Fibonacci sequence. Rewrite that program so that it checks for these things.arrow_forward(Statistics) This is the formula for the standard normal deviate, z, used in statistical applications: z=(X)/ X is a single value. refers to an average value. refers to a standard deviation. Using this formula, you need to write a program that calculates and displays the value of the standard normal deviate when X=85.3,=80,and=4. a. For this programming problem, how many outputs are required? b. How many inputs does this problem have? c. Determine a formula for converting input items into output items. d. Test the formula written for Exercise 7c, using the data given in the problem.arrow_forwardChoose the best data type for each of the following, so that no memory storage is wasted. Give an example of a typical value that would be held by the variable, and explain why you chose the type you did. the number of years of school you have completed your final grade in this class the population of China the number of passengers on an airline flight one players score in a Scrabble game the number of Electoral College votes received by a U.S. presidential candidate the number of days with below freezing temperatures in a winter in Miami, Florida one teams score in a Major League Baseball gamearrow_forward
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