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Answer 8, 9, and 10 for me mate. Much appreciated.
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- A tennis player makes a successful first serve 51% of the time. If she serves 9 times, what is the probabiliyt that she gets exactly 3 successful first serves in? Assume that each serve is independent of the others.In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and 2500 smokers of more than one pack per day. During any month, htere is an 8% propability that a nonsmoker will begin smoking a pack or less per day, and a 4% probablility that a nonsmoker will begin smoking more than one pack per day. For smokers who smoke a pack or less per day, there is a 10% probability of quitting and a 10% probability of increasing to more than a pack per day. For smokers who smoke more than a pack per day, there is an 8% probablity of quitting and a 10% probability of dropping to a pack or less per day. How many people will be in each group in 1 month, in 2 months, and in a year? (Round your answers to the nearest whole number.) (a) i) in 1 month; ii) nonsmokers. (. )people iii) 1 pack/day or less (. )people more than 1 pack/day. (. )people (b) i) in 2 months ii) nonsmokers. (. )people iii) 1…Find the number of permutations x1, x2, x3, x4, x5, of numbers 1, 2, 3, 4, 5 such that the sum of five products x1x2x3 + x2x3x4 + x3x4x5 + x4x5x1 + x5x1x2 is divisble by 3
- a 50 letter combiantion comes from {P,Q,R,S,T,U} where letters can be repeated how many 50 letter combinations can take place while meeting the three conditions conditon 1 - at elast 8 Ps , atleast 8 Qs , and 8Rs conditon 2 - at least 3Us are required conditon 3 - exaclty 5Ss and exaclty 5 Ts are rwquiredA survey of 500 farmers showed that 0f the farmers 129 grew only wheat, 108 grew only corn and 90 grew only oats. 210 grew wheat, 62 grew wheat and corn , 57 grew wheat and oats and 180 grew corn. Who grew at least one of the 3, grew all three and who grew exactly 2 of the 3.Let [A1, A2], [B1, B2], [C1, C2] be 3 married couples who attended a concert. Show that the number of ways to seat the 3 married couples attending a concert is equal to 72 if and only if members of the same sex are all seated next to each other in the 6 row seats?
- This scenario of proof technique practice involves different colored rocks. In a 2-dimensional table consisting of 2 colored rocks which are yellow and pink, call a column almost-yellow for when it has at most 1 pink rock. Try to give proof that for every table, (there exist at least 2 almost-yellow columns) iff (for every way of choosing 2 rocks from each column, there exist at least 2 of all the chosen rocks are yellow and in different columns).Suppose you always eat a particular brand of cookes out of the standart sized package, it comes in from the store, which has 4 rows of cookies in equal amounts. You notice that when you eat 3 at a time, there's always one cookie left over. You decide when you purchase the next package, you'll eat 5 at a time, but still, there's always one cookie left over. Since it really is'nt helpfull to always have a leftover cookie, you decide to eat 7 at a time, and there are no cookies leftover, but you notice that in your last grab of 7 cookies, you're one cookie short. A. If you know there are less tha 100 cookies in the package, how many cookies are there? Solve the problem, showing each step of your work, and explain your thinking. B. You decide to space out your cookie eating, and eat one cookie a day, how many weeks will one package of cookies last? C. If you eat 2 cookies a day, how many days will one package of cookies last?Suppose you always eat a particular brand of cookes out of the standart sized package, it comes in from the store, which has 4 rows of cookies in equal amounts. You notice that when you eat 3 at a time, there's always one cookie left over. You decide when you purchase the next package, you'll eat 5 at a time, but still, there's always one cookie left over. Since it really is'nt helpfull to always have a leftover cookie, you decide to eat 7 at a time, and there are no cookies leftover, but you notice that in your last grab of 7 cookies, you're one cookie short. C. If you eat 2 cookies a day, how many days will one package of cookies last?
- Suppose you always eat a particular brand of cookes out of the standart sized package, it comes in from the store, which has 4 rows of cookies in equal amounts. You notice that when you eat 3 at a time, there's always one cookie left over. You decide when you purchase the next package, you'll eat 5 at a time, but still, there's always one cookie left over. Since it really is'nt helpfull to always have a leftover cookie, you decide to eat 7 at a time, and there are no cookies leftover, but you notice that in your last grab of 7 cookies, you're one cookie short. B. You decide to space out your cookie eating, and eat one cookie a day, how many weeks will one package of cookies last?Suppose you always eat a particular brand of cookes out of the standart sized package, it comes in from the store, which has 4 rows of cookies in equal amounts. You notice that when you eat 3 at a time, there's always one cookie left over. You decide when you purchase the next package, you'll eat 5 at a time, but still, there's always one cookie left over. Since it really is'nt helpfull to always have a leftover cookie, you decide to eat 7 at a time, and there are no cookies leftover, but you notice that in your last grab of 7 cookies, you're one cookie short. A. If you know there are less tha 100 cookies in the package, how many cookies are there? Solve the problem, showing each step of your work, and explain your thinking.Assume that there are 10 girls and 8 boys in the neighborhood club, and a team of 8 is to be selected. How many different teams can be selected if each team must contain both boys and girls?
