Fill in the blanks. When x = a is a zero of a polynomial function f , the three statements below are true. (a) x = a is a _ _ _ _ _ _ _ _ of the polynomial equation f ( x ) = 0. (b) _ _ _ _ _ _ _ _ is a factor of the polynomial f ( x ) . (c) ( a , 0 ) is an _ _ _ _ _ _ _ _ of the graph of f .
Fill in the blanks. When x = a is a zero of a polynomial function f , the three statements below are true. (a) x = a is a _ _ _ _ _ _ _ _ of the polynomial equation f ( x ) = 0. (b) _ _ _ _ _ _ _ _ is a factor of the polynomial f ( x ) . (c) ( a , 0 ) is an _ _ _ _ _ _ _ _ of the graph of f .
Solution Summary: The author explains that the point x=a is a solution for the polynomial equation, if it satisfies the given equation.
A professor gives two types of quizzes, objective and recall. He plans to give at least 15 quizzes this quarter. The student preparation time for an objective quiz is 15 minutes and for a recall quiz 30 minutes. The professor would like a student to spend at least 5 hours total (300 minutes) preparing for these quizzes. It takes the professor 1 minute to grade an objective quiz, and 1.5 minutes to grade a recall type quiz. How many of each type of quiz should the professor give in order to minimize his grading time (why still meeting the other requirements outlined)?
Table 15-21 shows the relative frequencies of the scores of a group of students on a philosophy quiz.Table 15-21
Score45678
Relative frequency7%11%19%24%39%
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?
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