PROBLEM SOLVING. Present and show all your solutions in logical manner and kindly writelegibly. Encircle or underline your final answers.II.11-20. Solve the following problem using POLYA's method:Chrissa, Rhona and Zorah are cousins. Chrissa is five years older than Rhona and Rhona is twice as oldas Zorah. If the sum of their ages is 25, how old is Chrissa?21-40. Given the data sets of two machines below, find the range, mean, variance and standard deviation andcompare them.Machine 1Machine 29.528.016.417.9910.077.955.858.038.158.02

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Solve using Polya's Method
(42) Matt has three times as many stickers as David. How many stickers must Matt give David so that they will each have 100 stickers? Check that your answer is correct.
Sally makes a deal with ehr mother. If sally does all her chores today, she will get half a cookie. If she does her chores on the second day as well, she will get one cookie. If she does her chores on the third day, she will get two cookies. Each day in a row that she does her chores ,Sally will get double the amount of cookies as the previous day. Let C(n) give the number of cookies on day n. a.) What is the growth factor? b.) what is the initial value c.) write a formula for C(n). d.) How many cookies does Sally get on day 30?
3. For this question, a = 100(n1 + n4) where n1 is the first digit of your student number and n4 is the fourth digit of your student number. For Halloween, Ambrosia collected a bag of candy. Ambrosia weighed her bag and found that there were a grams of candy in total. Ambrosia ate half her candy on the first day (the day after Halloween). Her father told her that if she continued to eat it at that rate the candy would only last one more day, so Ambrosia decided that each day she would only eat half of the weight of the candy left in the bag. She hypothesised that this would allow her to eat candy every day and never run out. Ambrosia decided it might be useful to use Mathematics to think about her remaining candy. She assigns t and W such that • t is a variable representing the number of days since Halloween. • W(t) represents the weight (in grams) of the remaining candy at the end of the day t. To understand what would be an appropriate mathematical model for this problem Ambrosia…
If 4 less than 3 times a number is 2 more than the number, what is the number? 4/3 BO O: 5/3 DO 1/2
6) Ronnie has two printing machines that print at different rates. Machine A prints 45 shirts every 5 minutes. Machine B prints 35 shirts every 15 minutes If he leaves the two machines printing for 2 hours. How many shirts would be printed by both machines?
suppose Tina is throwing a surprise party to celebrate her friend Trevor's birthday, and she asks her good friend Tom to help with the music. The two agree to create a joint song playlist for Trevor to listen to during the car ride to the party. Tina chooses to add 15 songs to the playlist, and Tom chooses to add 11 songs. Suppose the playlist they created is significantly too long, and the car ride will only last long enough for the three to hear seven of the songs on the playlist. Also, suppose that each time a song is selected to be played, it is randomly selected from the remaining songs without replacement. After careful consideration, Tina is a little worried about Tom's song choices and hopes that Trevor will not hear too many of his songs. Let ? be the random variable representing the number of Tom's songs that are played during the car ride. Calculate the probability that Trevor will hear zero, one, or two of Tom's song choices. Round your answers to the nearest three decimal…
Solve the given problem completely. Show your solution. In a dance crew with 32 members, 9 are are part of unit A, 10 are in unit B, and 6 performs solo. 3 members of unit A are also in unit B. Two solo performers are also in unit A:. 2 members of unit B are also solo performers. Only 1 member of the crew is part of all units. How many crew members do not belong in unit A nor B, nor soloists?
U2.Q2.2B In Texas, a chain of popular fast food stores has about 4 locations per 100,000 people. If a city has a population of about 206 thousand, how many locations would you expect to find in that city? Make sure you write down any work, calculations, or reasoning that you used to get to your solution. Your Answer:
3. It takes me 5 hours to weed all of the gardens at my house. If my husband works with me, it will take us two less hours to weed all of the gardens (than it takes me working alone). If Mr. King did this job on his own, how long would it take him? Show all of your work to receive full credit
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11-20. Solve the following problem using POLYA's method: Chrissa, Rhona and Zorah are cousins. Chrissa is five years older than Rhona and Rhona is twice as old as Zorah. If the sum of their ages is 25, how old is Chrissa?