What type of error, if any, occurs in the following deduction? All students drive cars to school. Mark drives to school. Therefore Mark drives a car. (A) a false assumption or generalization (C) an error in calculation (B) an error in reasoning (D) there is no error OD

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.6: Permutations
Problem 39E
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What type of error, if any, occurs in the following deduction?
All students drive cars to school.
Mark drives to school.
Therefore Mark drives a car.
(A) a false assumption or generallization
(C) an error in calculation
(B) an error in reasoning
(D) there is no error
O B
O c
Which is the value of x in the center of Figure 4?
2.
4
12
6.
4.
3.
5.
Figure 1
Figure 2
Figure 3
Figure 4
(A) 6
(B) 9
(C) 15
(D) 120
D.
A,
Transcribed Image Text:What type of error, if any, occurs in the following deduction? All students drive cars to school. Mark drives to school. Therefore Mark drives a car. (A) a false assumption or generallization (C) an error in calculation (B) an error in reasoning (D) there is no error O B O c Which is the value of x in the center of Figure 4? 2. 4 12 6. 4. 3. 5. Figure 1 Figure 2 Figure 3 Figure 4 (A) 6 (B) 9 (C) 15 (D) 120 D. A,
Allson created a number trick In which she always ended with the orlginal number. When Alllson
tried to prove her trick, however, it did not work. In which step did the FIRST error occur?
Use n to represent any number.
(A) STEP 1
Add 4.
n+4
(B) STEP 2
Multiply by 2.
2n + 4
(C) STEP 3
Subtract 2.
2n +2
(D) STEP 4
Divide by 2.
n+2
(A) STEP 1
(B) STEP 2
(C) STEP 3
(D) STEP 4
А
B
What would be a counter-example for the conjecture shown below?
Conjecture: All students study Math.
Counter-Example
(A)
John is not a student.
(B)
John is studying Math.
John's schedule is English, Biology, Chemistry and History.
(D)
John's schedule is English, Math, Biology and Chemistry.
A
D.
Transcribed Image Text:Allson created a number trick In which she always ended with the orlginal number. When Alllson tried to prove her trick, however, it did not work. In which step did the FIRST error occur? Use n to represent any number. (A) STEP 1 Add 4. n+4 (B) STEP 2 Multiply by 2. 2n + 4 (C) STEP 3 Subtract 2. 2n +2 (D) STEP 4 Divide by 2. n+2 (A) STEP 1 (B) STEP 2 (C) STEP 3 (D) STEP 4 А B What would be a counter-example for the conjecture shown below? Conjecture: All students study Math. Counter-Example (A) John is not a student. (B) John is studying Math. John's schedule is English, Biology, Chemistry and History. (D) John's schedule is English, Math, Biology and Chemistry. A D.
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