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- Modified coin-row problem:If we modified the coin-row problem, so that you cannot take the adjacent coin, and youcannot take the coin next to the adjacent coin also (see example below), what would thedynamic programming formula F(n) be?Example: A, B, C, D, E, F, G, H, I, JIf A is taken, then B & C cannot be taken, but D (or above D, like E and so on) can be taken.If B is taken, then A, C, D cannot be taken.And so on.USE R STUDIO TO SOLVE: Assume that I am a manager of an ice-cream business. I have four sales agents: Ashley, Jude, Leslie and Skylar. They each work six days per week and have access to a portable kiosk to sell my ice-cream. On the days they work, they sell my ice cream at one of three permitted locations: the beach, the market or the park. My strategy so far has been to randomly determine the six days that each agent works and to randomly assign the location for each agent daily. I now want to know if randomly determining the days and randomly assigning the location is the right decision to maximise sales revenue. To help answer this, I collected some data over a 20 week period. However, I don't know what to do with the data. For this reason, I have recruited you as a consultant in data analytics to: i. help me make sense of the data; ii. provide evidence that randomly assigning workdays and locations is a suboptimal strategy; iii. to advise me on a more optimal…Interest Rates Savings accounts state an interest rate and a compounding period. If theamount deposited is P, the stated interest rate is r, and interest is compounded m timesper year, then the balance in the account after one year is P⋅(1+rm)m. For instance, if$1000 is deposited at 3% interest compounded quarterly (that is, 4 times per year), thenthe balance after one year is1000⋅(1+.034)4=1000⋅1.00754=$1,030.34.Interest rates with different compounding periods cannot be compared directly.The concept of APY (annual percentage yield) must be used to make the comparison. TheAPY for a stated interest rate r compounded m times per year is defined byAPY=(1+rm)m−1.(The APY is the simple interest rate that yields the same amount of interest after oneyear as the compounded annual rate of interest.) Write a program to compare interestrates offered by two different banks and determine the most favorable interest rate. SeeFig. 4.24.
- C++ Programming point* go_far(point* other) Return the point bearing the x- and the y- coordinates of whichever x- and y-coordinates is further from the origin. Identify which of the two points have the furthest x- and y-coordinates independently. Example: this point has (-5, 1) and the other point has (4, 9). In the x-coordinate of the two points, -5 is further from the origin than 4. In the y-coordinate of the two points, 9 is further from the origin than 1. Hence, we return a new point bearing the coordinates (-5, 9).Problem D: Different Dice Game Consider the following game for two players: The first player rolls a pair of dice of fair six-sided dice. If the two dice show different numbers, the player's score is the larger of the two numbers. Otherwise, the player's score is the sum of the two numbers. At this point, the player is asked if they want to remove their lower die and re-roll one die. If they say no, the player keeps her score and their turn is over. If they say yes, then they roll one more die and the number showing on this die replaces the lower of the original two rolls. Then these two dice rolls are scored accordingly. (For example, if the initial roll was a 2 and 5, if the player doesn't roll again, she gets 5 points. If she does roll again and obtains a 4, her score is still 5. If she rolled again and obtained a 6, her score would be a 6. If she rollwed again and obtained a 5, her score would be a 10.) The second player goes after the first, doing the exact same steps as the first…Q: The propositional variables b, v, and s represent the propositions: b: Alice rode her bike today. v: Alice overslept today. s: It is sunny today. Select the logical expression that represents the statement: “Alice rode her bike today only if it was sunny today and she did not oversleep.” b→(s→¬v) 2. b→(s∧¬v) 3. s∧(¬v→b) 4. (s∧¬v)→b Group of answer choices A): b→(s∧¬v) B): b→(s→¬v) C): s∧(¬v→b) D): (s∧¬v)→b
- Correct answer will be upvoted else downvoted. Computer science. It takes the principal swimmer precisely a minutes to swim across the whole pool and return, precisely b minutes for the subsequent swimmer and c minutes for the third. Thus, the main swimmer will be on the left half of the pool after 0, a, 2a, 3a, ... minutes after the beginning time, the subsequent one will be at 0, b, 2b, 3b, ... minutes, and the third one will be on the left half of the pool after 0, c, 2c, 3c, ... minutes. You went to the left half of the pool precisely p minutes after they began swimming. Decide how long you need to stand by before one of the swimmers shows up at the left half of the pool. Input The primary line of the input contains a solitary integer t (1≤t≤1000) — the number of experiments. Next t lines contains experiment portrayals, one for every line. Each line contains four integers p, a, b and c (1≤p,a,b,c≤1018), time in minutes after the beginning, when you went to the pool…Problem 3 Rolling Two Dice (in c language) Write a program that simulates the rolling of two dice. The program should use rand twice to roll the first die and second die, respectively. The sum of the two values should then be calculated. [Note: Because each die can show an integer value from 1 to 6, then the sum of the two values will vary from 2 to 12, with 7 being the most frequent sum and 2 and 12 the least frequent sums.] Figure 6.24 shows the 36 possible combinations of the two dice. Your program should roll the two dice 36,000 times. Use a one-dimensional array to tally the numbers of times each possible sum appears. Print the results in a tabular format. Also, determine if the totals are reasonable; i.e., there are six ways to roll a 7, so approximately one-sixth of all the rolls should be 7.8.4 Let s1 be " Welcome " and s2 be " welcome ". Write the code for the followingstatements:(a) Check whether s1 is equal to s2 and assign the result to a Boolean variableisEqual.(b) Check whether s1 is equal to s2, ignoring case, and assign the result to aBoolean variable isEqual.(c) Check whether s1 has the prefix AAA and assign the result to a Boolean variable b.(d) Check whether s1 has the suffix AAA and assign the result to a Boolean variable b.(e) Assign the length of s1 to a variable x.(f) Assign the first character of s1 to a variable x.(g) Create a new string s3 that combines s1 with s2.(h) Create a substring of s1 starting from index 1.(i) Create a substring of s1 from index 1 to index 4.(j) Create a new string s3 that converts s1 to lowercase.(k) Create a new string s3 that converts s1 to uppercase.(l) Create a new string s3 that trims whitespace characters on both ends of s1.(m) Replace e with E in s1.(n) Assign the index of the first occurrence of character e in s1 to a…
- Mathematical functions introduced in chapter 4 can be used in the mathematical calculations and simulations of the engineering and scientific problems. In these cases, we formulate the mathematical problem and then use the computer for calculations and simulations. Can a computer code solve the math problem and come up with mathematical formulas, i.e. can a computer program do what a mathematician does?Determine whether the following argument is valid or invalid. Include a truth table and a few words explaining why the truth table shows validity or invalidity. Use the space provided below to draw the truth table If Hugo is a physics major or if Hugo is a math major, then he needs to take calculus. Hugo needs to take calculus or Hugo is a math major. Therefore, Hugo is a physics major or Hugo is a math major.What do parentheses do in mathematical equations? a. Ensure addition functions are performed before subtraction functions b. Ensure multiplication functions are performed before division functions c. Ensure multiplication functions are performed before addition functions d. Ensure that whatever operation is inside the parentheses is performed first