Compute each of the following permutations. (a) (1423)(34)(56)(1324); (b) (1254)^2(123)(45); (c) [(1235)(467)]^(−1); (d) (1254)^100
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Compute each of the following permutations.
(a) (1423)(34)(56)(1324);
(b) (1254)^2(123)(45);
(c) [(1235)(467)]^(−1);
(d) (1254)^100
.
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- How many distinct rearrangements of the letters of the word DEADWOOD are there if the arrangement must begin and end with the letter D?The management of the local zoo wants to know if all of their animal exhibits are equally popular. If there is significant evidence that some of the exhibits are not being visited frequently enough, then changes may need to take place within the zoo. A tally of visitors is taken for each of the following animals throughout the course of a week, and the results are contained in the following table. At α=0.05, determine whether there is sufficient evidence to conclude that some exhibits are less popular than others. Animal Exhibits at the ZooElephants Lions/Tigers Giraffes Zebras Monkeys Birds ReptilesNumber of visitors 137 129 161 147 160 134 131 Step 3 of 4 : Compute the value of the test statistic. Round any intermediate calculations to at least six decimal places, and round your final answer to three decimal places. Step 4 of 4: Draw a conclusion and interpret the decision. (Reject or fail to reject, Is there enough evidence or not?)The management of the local zoo wants to know if all of their animal exhibits are equally popular. If there is significant evidence that some of the exhibits are not being visited frequently enough, then changes may need to take place within the zoo. A tally of visitors is taken for each of the following animals throughout the course of a week, and the results are contained in the following table. At α=0.05, determine whether there is sufficient evidence to conclude that some exhibits are less popular than others. Animal Exhibits at the Zoo Elephants Lions/Tigers Giraffes Zebras Monkeys Birds Reptiles Number of visitors 139 136 169 125 174 137 174 Copy Data Step 3 of 4 : Compute the value of the test statistic. Round any intermediate calculations to at least six decimal places, and round your final answer to three decimal places.
- The management of the local zoo wants to know if all of their animal exhibits are equally popular. If there is significant evidence that some of the exhibits are not being visited frequently enough, then changes may need to take place within the zoo. A tally of visitors is taken for each of the following animals throughout the course of a week, and the results are contained in the following table. At α=0.005, determine whether there is sufficient evidence to conclude that some exhibits are less popular than others. Animal Exhibits at the Zoo Elephants Lions/Tigers Giraffes Zebras Monkeys Birds ReptilesNumber of visitors 152 175 185 144 145 171 163 Step 2 of 4 : Calculate the expected value for the number of visitors for the birds exhibit. Enter your answer as a fraction or a decimal rounded to three decimal places. Step 3 of 4: Compute the value of the test statistic. Round any calculations to at least six decimals places and round your final answer to three…Find the ordinary generating function for the number of partitions of n in which no part occurs more than 3 times.Without doing any calculations in Aut(Z105), determine how manyelements of Aut(Z105) have order 6.
- Why is n> 3 significant here?provide the explicit explicit formula for the following recurrence relationA researcher wishes to see whether there is a difference in the weight loss ofwomen following one of the three special diets. Women are randomly assignedto the three groups and placed on the diet for 2 months. The weight losses (inpounds) are shown here. At α = 0.05, can the researcher conclude that there isa difference in diets?
- Nationally, at least 60% of Ph.D. students have paid assistantships. A collegedean feels that this is not true in his state, so he randomly selects 50 Ph.D.students and finds that 26 have assistantships. At α = 0.05, is the deancorrect?A certain sample of E. Coli has 2.5 times the population every hour. If the sample began with 50 cells, which of the following is closest to the population of the sample after 4 hours?Suppose a company charges a premium of $150 per year for an insurance policy for storm damage to roofs. Actuarial studies show that in case of a storm, the insurance company will pay out an average of $8000 for damage to a composition shingle roof and an average of $12,000 for damage to a shake roof. They also determine that out of every 10,000 policies, there are 7 claims per year made on composition shingle roofs and 11 claims per year made on shake roofs. What is the company’s expected value (i.e., expected profit) per year of a storm insurance policy? What annual profit can the company expect if it issues 1000 such policies? Determine the probability of a composition shingle roof claim out of 10,000 = ______ Determine the probability of a shake roof claim out of 10,000 = ______ How many claims are made out of 10,000? = _______ What is the probability of no claims out of 10,000? = _______ How much does each shingle roof claim cost the company, don’t forget each person pays $150…
