Mathematics homework help

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1. –/4 POINTS AUFQR1 2.1.053. MY NOTES ASK YOUR TEACHER
A new drug to control blood pressure was given to 1,000 patients. Another 1,000 patients were given a placebo. The result
showed that 750 of the patients receiving the new drug had a decrease in blood pressure. For the group that received the
placebo, 238 had a decrease in blood pressure. The results are shown in the following Venn diagram.
(a) Use the Venn diagram to complete the following table.
Reduced Blood Pressure No Blood Pressure Reduction
Received New Drug
Received Placebo
(b) How many false negatives occurred?
(c) Write a sentence that describes a false positive in the context of this test.
There were cases in which there was —Select— and the patient
received the —Select— .
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250 750 238
762
2. –/8 POINTS AUFQR1 2.1.058. MY NOTES ASK YOUR TEACHER
A survey found that 44 people liked chocolate, 26 people like peanut butter, and 16 people liked both. How many people
were in the survey? (See Example 8 in this section.)
people
A test for a performance-enhancing drug is given to 200 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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15 20 11
154
3. –/1 POINTS AUFQR1 2.1.P.008. MY NOTES ASK YOUR TEACHER
4. –/4 POINTS AUFQR1 2.1.P.011. MY NOTES ASK YOUR TEACHER
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.
Some classic movies were not 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.
No classic movies were not first produced in black and white.
No classic movies were first produced in black and white.
5. –/1 POINTS AUFQR1 2.2.003. 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.
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6. –/2 POINTS AUFQR1 2.2.009. MY NOTES ASK YOUR TEACHER
Is the argument valid or invalid?
valid
invalid
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.
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7. –/2 POINTS AUFQR1 2.2.017. MY NOTES ASK YOUR TEACHER
Is the argument valid or invalid?
valid
invalid
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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 mathematics test is fun.
All fun things are worth your time.
∴ No mathematics test is worth your time.
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8. –/2 POINTS AUFQR1 2.2.021. MY NOTES ASK YOUR TEACHER
Is the argument valid or invalid?
valid
invalid
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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.
Is the argument valid or invalid?
valid
invalid
All aerobics classes are fun.
Jan’s class is fun.
∴ Jan’s class is an aerobics class.
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9. –/2 POINTS AUFQR1 2.2.027. 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
10. –/6 POINTS AUFQR1 2.2.035. MY NOTES ASK YOUR TEACHER
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