3. Suppose 'p' denotes the statement "you were 90 on your last birthday" and 'q' denotes the statement "you are over 21": If you are over 21, then you were 90 on your last birthday. The statement is. * Inverse Contradiction Contrapositive Converse None of the above
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![3. Suppose 'p' denotes the statement "you were 90 on your last birthday" and 'q'
denotes the statement "you are over 21":
If you are over 21, then you were 90 on your last birthday. The statement is. *
Inverse
Contradiction
Contrapositive
Converse
None of the above](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b4e2725-1833-43e9-abd6-2f29bb76990e%2F7d4f8c62-f1bc-46c6-9521-5a2f56075dc8%2F685z43e_processed.jpeg&w=3840&q=75)
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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.)1.Part 2 - OddOrEven ClassIn bluej. Write a program that prompts the user to enter an integer. The program should display “The input is odd" to the screen if the input is odd and displays “The input is even" to the screen if the input is even. Hint: Consider using the mod (%) operator.
- A year in the modern Gregorian Calendar consists of 365 days. In reality, the earth takes longer to rotate around the sun. To account for the difference in time, every 4 years, a leap year takes place. A leap year is when a year has 366 days: An extra day, February 29th. The requirements for a given year to be a leap year are: The year must be divisible by 4 If the year is a century year (1700, 1800, etc.), the year must be evenly divisible by 400 Some example leap years are 1600, 1712, and 2016. Write a program that takes in a year and determines whether that year is a leap year. Ex: If the input is 1712, the output is: 1712 is a leap year. Ex: If the input is 1913, the output is: 1913 is not a leap year. 1 2 3 4 5 6 7 8 9 10 11 Put("{} is a leap year.".format(i_year)) print("{} is not a leap year.".format(i_year)) inputYear = Get next input What would be the code?True or False: for each of the following statements, decide if it is true or false. If it istrue, then provide a proof; if it is false, provide a counterexample.(a) For events A, B, it is always the case that Pr(Bn.A) < Pr(B).(b) For events A, B with Pr(A) > 0, it is always the case that Pr(B | A) < Pr(B).Do not use regular expressions in your solution for this exercise. Write a program that checks to see if an input password is valid or not. In this exercise, a valid password has the following characteristics: It contains at least eight characters. It contains at most 12 characters. It contains only alphabetic characters, digits and the underscore (‘_’) character. It does not start with a digit. It has a mix of upper-case and lower-case characters. Your class must contain the following method: public static String checkPassword(String input) This method receives a possible password as input and returns only the String“OK” if the password is valid. If the password is not valid then you can return the reason(s) for that as the return value. This is not a part of the requirements, however, and you don’t need to do that. You can simply return null for an invalid password.
- CHALLENGE ACTIVITY Type two statements that use rand() to print 2 random integers between (and including) 100 and 149. End with a newline. Ex: 101 133 3.8.3: Fixed range of random numbers. Note: For this activity, using one statement may yield different output (due to the compiler calling rand() in a different order). Use two statements for this activity. Also, srand() has already been called; do not call srand() again. See How to Use zyBooks for info on how our automated program grader works. 449096.3145616.qx3zqy7 1 #include 2 #include 3 #include 4 5 int main(void) { 6 int seedVal; 7 8 9 10 11 12 13 14} scanf("%d", &seedVal); srand(seedVal); /* Your solution goes here */ return 0; Run A No solution code provided X Testing with seedVal = 4 // Enables use of rand() // Enables use of time() Your output Your program produced no output Expected output X Testing with seedVal = 55 101 133 Expected output Your output Your program produced no output 148 125 1 test passed All tests passedIn Java: year in the modern Gregorian Calendar consists of 365 days. In reality, the earth takes longer to rotate around the sun. To account for the difference in time, every 4 years, a leap year takes place. A leap year is when a year has 366 days: An extra day, February 29th. The requirements for a given year to be a leap year are: 1) The year must be divisible by 4 2) If the year is a century year (1700, 1800, etc.), the year must be evenly divisible by 400 Some example leap years are 1600, 1712, and 2016. Write a program that takes in a year and determines whether that year is a leap year. If the input is: 1712 the output is: 1712 is a leap year. input: 1913 output: 1913 is not a leap year. import java.util.Scanner; public class LabProgram {public static void main(String[] args) {Scanner scnr = new Scanner(System.in);int inputYear;boolean isLeapYear;isLeapYear = false;inputYear = scnr.nextInt();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
- In Java - A year in the modern Gregorian Calendar consists of 365 days. In reality, the earth takes longer to rotate around the sun. To account for the difference in time, every 4 years, a leap year takes place. A leap year is when a year has 366 days: An extra day, February 29th. The requirements for a given year to be a leap year are: 1) The year must be divisible by 4 2) If the year is a century year (1700, 1800, etc.), the year must be evenly divisible by 400; therefore, both 1700 and 1800 are not leap years Some example leap years are 1600, 1712, and 2016. Write a program that takes in a year and determines whether that year is a leap year. Default code: import java.util.Scanner; public class LabProgram { public static void main(String[] args) { Scanner scnr = new Scanner(System.in); int inputYear; boolean isLeapYear; isLeapYear = false; inputYear = scnr.nextInt(); /* Type your code here. */ }}Use java and classesIQ test scores of people are normally distributed with a mean of 100 and a standard deviation of 15. Compute the proportion of the general public that has an IQ of 87 or above. import numpy as np from scipy.stats import norm, t ### ADD YOUR CODE BELOW proportion = 999 ### ADD YOUR CODE ABOVE print(f"Proportion of the general public whose IQ is above the given score is {proportion:.2f}")
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