Contemporary Abstract Algebra
9th Edition
ISBN: 9781305657960
Author: Joseph Gallian
Publisher: Cengage Learning
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Instructions: Answer each question showing all work.
1. Out of 30 animals at a veterinarian clinic, 8 cats and 4 dogs have been vaccinated. 6 cats and 12 dogs are not yet
vaccinated. Create a two-way frequency table to represent the data.
2. Convert the table from number 1 into a two-way relative frequency table.
Instructions: Based on the tables created in questions 1 and 2 above, answer questions 3-7.
3. What percentage of cats from the total animals are vaccinated?
4. What is the relative frequency of dogs from the total animals that are not yet vaccinated?
5. What is the conditional frequency of cats that have not been vaccinated?
6. What is the marginal frequency of the total number of animals vaccinated?
7. What is the joint frequency of the cats that are vaccinated?
The the high
3000
How long will it take you to double your money if you invest it at a rate
of 8% compounded annually?
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- One hundred dollars is invested at 7.2% interest compounded annually. Determine how much the investment is worth after: a. I year b. 5 years c. 10 years d. 20 years e. Use your answers to parts (a)-(d) to estimate the doubling time for the investment.arrow_forward6) A farmer has 60 acres on which to plant oats or corn. Each acre of oats requires 100 lbs of fertilizer and 1 hour of labor. Each acre of corn requires 50 lbs of fertilizer and 2 hours of labor. The farmer has 5000 lbs of fertilizer and 100 hours available for labor. If the profit is $60 from each acre of oats and $100 from each acre of corn, what planting combination will produce the greatest total profit? a) Fill in the following chart to help organize the information given in the problem: Oats Labor Fertilizer Land Profit b) Write down the question of interest. Corn Available c) Define variables to answer the question of interest. Call these x and y. d) Write the objective function to answer the question of interest. e) List any constraints given in the problem.arrow_forwardI need help with number 5.arrow_forward
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- > > > we are hiring Salesforce Admin Location: Remote Key Responsibilities: Administer Salesforce Sales & Revenue Cloud (CPQ & Billing) Configure workflows, validation rules & dashboards Automate processes using Flows & Process Builder Collaborate with Sales, Finance & Marketing teams Manage user roles & security Apply: Hr@forcecraver.comarrow_forwardAnswer this questionarrow_forward1. vector projection. Assume, ER1001 and you know the following: ||||=4, 7=-0.5.7. For each of the following, explicitly compute the value. འབ (a) (b) (c) (d) answer. Explicitly compute ||y7||. Explain your answer. Explicitly compute the cosine similarity of and y. Explain your Explicitly compute (x, y). Explain your answer. Find the projection of onto y and the projection of onto .arrow_forward
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