Math assignment

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Write the negation of the statement. Start the negation with the word "Some," "No," or "All."

All classic movies were first produced in black and white.

All classic movies were not first produced in black and white.

Some classic movies were first produced in black and white.    

Some classic movies were not first produced in black and white.

No classic movies were first produced in black and white.

No classic movies were not first produced in black and white.

for each question part only changes if you submit or change the answer.

Assignment Scoring

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1. AUFQR1 2.2.003.–/1 POINTS MY NOTES ASK YOUR TEACHER

Use an Euler diagram to determine whether the argument is valid or invalid.

Choose the Euler diagram that shows whether the argument is valid or invalid.

All frogs are poetical. Kermit is a frog.

∴ Kermit is poetical.

2. AUFQR1 2.2.009.–/2 POINTS MY NOTES ASK YOUR TEACHER

Use an Euler diagram to determine whether the argument is valid or invalid.

Choose the Euler diagram that shows whether the argument is valid or invalid.

No rocker would do the Mariachi. All baseball fans do the Mariachi.

∴ No rocker is a baseball fan.

3. AUFQR1 2.2.013.–/2 POINTS MY NOTES ASK YOUR TEACHER

Use an Euler diagram to determine whether the argument is valid or invalid.

Choose the Euler diagram that shows whether the argument is valid or invalid.

All men behave badly. Some hockey players behave badly.

∴ Some hockey players are men.

4. AUFQR1 2.2.017.–/2 POINTS MY NOTES ASK YOUR TEACHER

Use an Euler diagram to determine whether the argument is valid or invalid.

Choose the Euler diagram that shows whether the argument is valid or invalid.

All prime numbers are odd. 2 is a prime number.

∴ 2 is an odd number.

5. AUFQR1 2.2.025.–/2 POINTS MY NOTES ASK YOUR TEACHER

Is the argument valid or invalid?

valid

invalid    

Use all of the premises in the argument to determine a valid conclusion for the argument.

All cats are strange. Boomer is not strange.

∴ ---Select---

6. AUFQR1 2.2.030.–/1 POINTS MY NOTES ASK YOUR TEACHER

Examine the following three premises.

1. All people who have an Xbox play video games. 2. All people who play video games enjoy life. 3. Some mathematics professors enjoy life.

Now consider each of the following six conclusions. For each conclusion, determine whether the argument formed by the three premises and the conclusion is valid or invalid.

(a) ∴ Some mathematics professors have an Xbox.

valid

invalid    

(b) ∴ Some mathematics professors play video games.

valid

invalid    

(c) ∴ Some people who play video games are mathematics professors.

valid

invalid    

(d) ∴ Mathematics professors never play video games.

valid

invalid    

(e) ∴ All people who have an Xbox enjoy life.

valid

invalid    

(f) ∴ Some people who enjoy life are mathematics professors.

valid

invalid    

7. AUFQR1 2.2.035.–/6 POINTS MY NOTES ASK YOUR TEACHER

A survey asked students which team sport they preferred to watch. The results are in the following Venn diagram with H representing hockey, S representing soccer, and F representing football. (See Example 9 in this section.)

(a) How many people preferred exactly one sport?

people

(b) How many people liked all three sports?

people

(c) How many people preferred hockey and football but not soccer?

people

(d) How many people liked exactly two of the sports?

people

(e) If 800 people were surveyed, how many people did not like any of the sports?

people

78

143 83 55

126 148 56

9. AUFQR1 2.1.P.009.–/5 POINTS MY NOTES ASK YOUR TEACHER

A test for a performance-enhancing drug is given to 400 athletes. The results are shown in the following Venn diagram. (See Example 11 in this section.)

Using the Venn diagram, complete the following table.

Positive Test Negative Test

Athlete Has Banned Drug

Athlete Does Not Have Banned Drug

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10. AUFQR1 2.1.P.011.–/4 POINTS MY NOTES ASK YOUR TEACHER

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