AnswersTX-Advanced Quantitative ReasoningPrecision in Measurement

Precision in Measurement — Unit test Answers

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Read the statement.Doubling the dimensions of a rectangle increases the area by a factor of 4.If p represents doubling the dimensions of a rectangle and q represents the area increasing by a factor of 4, which are true? Select two options.

A
p → q represents the original conditional statement.
B
~p → ~q represents the inverse of the original conditional statement.
C
q → p represents the original conditional statement.
D
~q → ~p represents the converse of the original conditional statement.
E
p → ~q represents the contrapositive of the original conditional statement.
2
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The truth table represents statements p, q, and r. pqrq ∧ r ATT T T BTTF F C T FT F DT F FF EF T T T FF T F F GF F T F HF F F F

A
E
B
F
C
G
D
H
3

What is the inverse of the conditional statement?If a polygon has five angles, then it is a pentagon.

A
If a polygon is a pentagon, then it has five angles.
B
If a polygon is not a pentagon, then it does not have five angles.
C
If a polygon does not have five angles, then it is not a pentagon.
D
If a polygon has five angles, then it is not a pentagon.
4

Let p: The number is even.Let q: The number is prime.Which statement is represented by p ∧ q?

A
The number is even and prime.
B
The number is even or prime.
C
The number is even if the number is prime.
D
The number is prime if the number is even.
5

What is the greatest possible error if Irina measured the weight of her dog as 13 pounds?

A
0.1 pounds
B
0.5 pounds
C
12.5 pounds
D
13.5 pounds
6

What is the sum of the given values to the correct level of precision? 7.45 ft10.629 ft+0.3 ft

A
18.379 ft
B
18.38 ft
C
18.4 ft
D
20 ft
7

Let p: The shape is a rhombus.Let q: The diagonals are perpendicular.Let r: The sides are congruent.Which represents "The shape is a rhombus if and only if the diagonals are perpendicular and the sides are congruent”?

A
p ∧ (q ∧ r)
B
(p ∨ q) ∨ r
C
p ↔ (q ∧ r)
D
(p ∨ q) ↔ r
8

Let p: A student plays basketball.Let q: A student plays tennis.

Question illustration
A
4
B
8
C
32
D
36
9

How many significant figures does 2,090 have?

A
1
B
2
C
3
D
4
10

Given:p: Angles XYZ and RST are vertical angles.q: Angles XYZ and RST are congruent.Which statement is logically equivalent to p → q?

A
If angles XYZ and RST are congruent, then they are vertical angles.
B
If angles XYZ and RST are not vertical angles, then they are not congruent.
C
If angles XYZ and RST are not congruent, then they are not vertical angles.
D
If angles XYZ and RST are vertical angles, then they are not congruent.
11

Mike and Teegan each measured the volume of the 16-ounce bottle three times. They recorded their measurements as shown.Mike:16.4 oz, 15.2 oz, 15.8 ozTeegan:16.34 oz, 16.59 oz, 15.13 oz

A
Mike’s measurements are more precise and more accurate.
B
Teegan’s measurements are more precise and more accurate.
C
Mike’s measurements are more precise, but Teegan’s measurements are more accurate.
D
Mike’s measurements are more accurate, but Teegan’s measurements are more precise.
12

If an original conditional statement is represented using p → q, which represents the converse?

A
~p → ~q
B
~q → ~p
C
q → p
D
p → q
13

Question text not available

Question illustration
A
If a number is prime, it is also odd.
B
If a number is odd, it is also prime.
C
If a number is not odd, it cannot be prime.
D
If a number is prime, it may or may not be odd.
14

Given a conditional statement p → q, which statement is logically equivalent?

A
~p → ~q
B
~q → ~p
C
q → p
D
p → ~q
15

Will measured the diameter of a penny as 1.9 cm using the ruler.

Question illustration
A
1.5 cm to 2.0 cm
B
1.5 cm to 2.5 cm
C
1.85 cm to 1.95 cm
D
1.90 cm to 1.95 cm
16

A scale measured a 4.5-pound brick as weighing 5.3 pounds. Which measurement is more accurate but less precise than 5.3 pounds?

A
4.98 pounds
B
5 pounds
C
5.52 pounds
D
6 pounds
17

What is the inverse of the statement?A number that has exactly two distinct factors is prime.

A
If a number has exactly two distinct factors, then the number is prime.
B
If a number does not have exactly two distinct factors, then the number is not prime.
C
If a number is not prime, then the number does not have exactly two distinct factors.
D
If a number is prime, then the number has exactly two distinct factors.
18

Which conjunction about whole numbers is true?

A
The sum of two non-zero even numbers is even and less than the addends.
B
The sum of two non-zero even numbers is even and greater than the addends.
C
The difference of two non-zero even numbers is odd and less than the larger number.
D
The difference of two non-zero even numbers is odd and greater than the larger number.
19

Which statements are true for rows A and E? Select two options.

A
p ↔ q
B
q ↔ p
C
q ↔ r
D
r ↔ p
E
r ↔ q
20

Given:p: x – 5 =10q: 4x + 1 = 61Which is the inverse of p → q?

A
If x – 5 ≠ 10, then 4x + 1 ≠ 61.
B
If 4x + 1 ≠ 61, then x – 5 ≠ 10.
C
If x – 5 = 10, then 4x + 1 = 61.
D
If 4x + 1 = 61, then x – 5 = 10.

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