Uploaded by Agerico Llovido

Exam No. 1 (Elements)

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1. The set of all possible experimental outcomes is called a(n) ___.
A. sample space.
B. event.
C. experiment.
D. probability.
2. If the probability of event A occurring is not dependent on event B occurring, we have ___.
A. Independent events.
B. Mutually exclusive events.
C. Conditional events.
D. Dependent events.
3. P(A∩B) = 0 represents ___.
A. Independent events.
B. Mutually exclusive events.
C. Conditional events.
D. Dependent event
4. The probability that one event will occur given that we know that another event occurs is a ___.
A. sample space outcome.
B. subjective probability.
C. complement of an event
D. conditional probability
5. The following formula: P(A∪B) = P(A) + P(B) - P(A∩B) represents ___.
A. the conditional probability.
B. the addition rule.
C. independence.
D. the multiplication rule.
6. If two events are independent, then the probability of their intersection is represented by ___.
A. P(A∩B) = P(A) + P(B)
B. P(A∩B) = 0
C. P(A∩B) = P(A) * P(B)
D. P(A∩B) = P(A) * P(A|B)
7. Events that have no sample space outcomes in common, and, therefore, cannot occur
simultaneously are ___.
A. independent.
B. mutually exclusive.
C. intersections.
D. unions.
8. When two events are independent and we are calculating conditional probability P(A|B), then it
follows that ___.
A. P(A) = P(B)
B. P(A|B) = P(A)
C. P(A∩B) = 0
D. P(A∪B) = 0
9. The heights of all the students in grade 9 are arranged from least to greatest. Which statistical
measure separates the top half of this set of data from the bottom half?
A. Mean
B. Mode
C. Median
D. Average
10. Which of the following is ALWAYS true?
A. A function is not a relation
B. Every function is a relation
C. Every relation is a function
D. A relation is not a function
11. Which property is used to write: 3(xy) = (3x)y?
A. Commutative property of multiplication
B. Multiplicative inverse property
C. Distributive property
D. Associative property of multiplication
12. If m and p are positive integers and (m + p) x m is even, which of the following must be true?
A. If m is odd, then p is odd.
B. If m is odd, then p is even.
C. If m is even, then p is even.
D. If m is even, then p is odd.
13. Which situation describes a correlation that is not a causal relationship?
A. The rooster crows, and the sun rises.
B. The more miles driven, the more gasoline needed.
C. The more powerful the microwave, the faster the food cooks.
D. The faster the pace of a runner, the quicker the runner finishes.
14. Which of the following numbers is farthest from the number 1 on the number line?
A. -10
B. - 5
C. 5
D. 10
15. Given that a and b are integers, which of the following is not necessarily an integer?
A. 2a - 5b
B. a7
C. ba
D. ab
16. The product of r consecutive positive integers divided by r! is ___.
A. A proper fraction
B. A positive integer
C. A negative integer
D. None of these
17. The famous mathematician associated with finding the sum of the first 100 natural numbers is ___.
A. Newton
B. Gauss
C. Euclid
D. Alkhawarizmi
18. Harmonic mean can be further algebraically manipulated
A. true
B. false
C. none
D. not known
19. Harmonic mean is better than other means if the data are for ___.
A. speed or rates
B. heights or lengths
20.
21.
22.
23.
24.
25.
26.
27.
28.
C. binary values like 0 & 1
D. ratios or proportions
For a highly variable series the most suitable mean is ___.
A. AM
B. GM
C. HM
D. None of the above
The sum of the angles of a spherical triangle is between: ___.
A. π and 2π
B. 2π and 3π
C. 2π and 4π
D. π and 3π
Which of the following is not a possible sum of angles of a spherical triangle?
A. 420°
B. 360°
C. 560°
D. 500°
The amount by which the sum of the angles of a triangle exceeds 180° is called ___.
A. Spherical defect
B. Spherical excess
C. Defect sum
D. Excess sum
The difference between 2π and the sum of the side arc lengths a, b and c of a spherical triangle is
called ___.
A. Spherical excess
B. Defect sum
C. Spherical defect
D. Excess sum
Which of the following is a possible sum of the angles of a spherical triangle?
A. 150°
B. 550°
C. 750°
D. 350°
The shortest path from one point to another on a spherical surface is along the arc of a great circle.
This shortest path is called as ___.
A. Spherical length
B. Geodesic
C. Spherical excess
D. Spherical defect
Which of the following is false about spherical triangle?
A. The three sides are all arcs of great circles.
B. The sum of all angles is between 90° and 180°.
C. The sum of the three angles is greater than 180°.
D. Each spherical angle is less than 180°.
When a point is observed, the angle formed by the line of sight with the horizontal level where the
point being viewed is above the horizontal plane is known as ___.
A. Angle of triangle
B. Angle of depression
C. Angle of elevation
D. None of these
29. When we raise our hand to look at the object, the angle formed by the line of sight with horizontal is
known as ___.
A. Obtuse angle
B. Angle of elevation
C. Angle of depression
D. Acute angle
30. When we lower our hand to look at the object, the angle formed by the line of sight with horizontal
is known as ___.
A. Obtuse angle
B. Angle of elevation
C. Angle of depression
D. Acute angle
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