2021 Module-0 Premium Files Test pdf - Free Dumps Collection
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NEW QUESTION 19
Multiplythe following two matrices together.
A)
B)
C)
D)
- A. Option D
- B. Option C
- C. Option A
- D. Option B
Answer: B
NEW QUESTION 20
A basketball squad contains 7 players. The team that lines up on the court tor the start of a match contains 5 ofthe players Calculate how many different teams can be fielded from the squad of 7 players
- A. 0
- B. 1
- C. 2,520
- D. 2
Answer: D
NEW QUESTION 21
Calculate the sum of the following series: 3, -6,12, -24,..., -1.536.
- A. 0
- B. -3,833
- C. -1,023
- D. 3,069
Answer: C
NEW QUESTION 22
Identify which of the following statements is true,where X is a discrete random variable that exists over the domain [a. b], and F(x) is its distribution function.
A)
B)
C)
D)
- A. Option A
- B. Option D
- C. Option B
- D. Option C
Answer: A
NEW QUESTION 23
Identify which of the following quantities can always be derived from a box plot of a data set.
I.Mean
II.Median
III. Mode
IV. Range
V.Sample size
- A. II and IV only
- B. I and III only
- C. I and II only
- D. IV and V only
Answer: A
NEW QUESTION 24
Determine which of the following statements is not true about the binomial expansion of (1+x)p, assuming p is real.
- A.
- B.
- C. it converges when p is a p positive integer.
- D.
Answer: D
NEW QUESTION 25
Calculate the single extreme point of the function:
- A. (0,4)
- B. (0,2)
- C. (0.1)
- D. (1.1)
Answer: B
NEW QUESTION 26
Identify which of the following statements is correct.
A continuous random variable is one that:
- A. can only take positive values.
- B. must be approximated using a discrete random variable.
- C. can take one of a finite number of values
- D. can take one of an infinite number of values.
Answer: B
NEW QUESTION 27
Two real numbers, x and y, satisfy the following inequalities:
Determine which statement is true.
- A. y cannot be zero.
- B. y cannot be negative.
- C. y must be positive.
- D. y can be negative.
Answer: B
NEW QUESTION 28
Identify which of the following statements is correct.
- A. x in(n)
- B. In(x)+ in(n)
- C. n in (x)
- D. In (nx)
Answer: C
NEW QUESTION 29
Consider the three vectors:
Determine which of (he vectors or combination of vectors shown in the options has the greatest magnitude
- A. v
- B. u+v
- C. w
- D. v-u
Answer: B
NEW QUESTION 30
Identify which of the following statements is correct.
For a continuous random variable X, the distribution function evaluated at X= x measures:
- A. P(X<x)
- B. P(X>x)
- C. P(X = x)
- D. P(xx)
Answer: A
NEW QUESTION 31
Consider the function f(x)x2 6x=20. This functions has a stationary point at x=3.
Determine the nature of this stationary point and how we know this to be true.
- A. It is a minimum stationary point because the value of the function at x = 3 is 11, which is positive.
- B. It is a maximum stationary point because the second derivative of the function with respect to x takes the value 2, which is positive.
- C. It is a maximum stationary point because the value of the function at x = 3 is 11, which is positive.
- D. It is a minimum stationary point because the second derivative of the function with respect to x takes the value 2 which is positive.
Answer: A
NEW QUESTION 32
Identify which of the following statements about statistical measures for a set of data is false.
- A. The sample variance is always smaller than or equal to the largest value.
- B. The range can be greater than the largest value.
- C. The range is always greater than or equal to zero.
- D. The sample variance is always greater than or equal to zero.
Answer: B
NEW QUESTION 33
A student is trying to estimate the root of the equation
Determine which of the suggestions will lead to the root.
- A. I and II only
- B. II and III only
- C. I and IV only
- D. II and IV only
Answer: A
NEW QUESTION 34
Determine the binomial expansion of (2x-X2)3.
- A. -x8+2xa-4x4+8x3
- B. -X6+8x3
- C. -x6+3x5-3x4+x3
- D. -x6+2x5-4x4+8x3
Answer: D
NEW QUESTION 35
Consider the function f(x) =x2- 5x - 3
The value of one of the roots of the above equation can be obtained by using the iteration formula
Apply the iteration formula to determine the value of the root.
- A. 0.54
- B. 1.54
- C. 4.40
- D. 5.53
Answer: C
NEW QUESTION 36
Calculate
- A. 58.88
- B. 951.84
- C. 337.84
- D. 399.68
Answer: C
NEW QUESTION 37
Differentiate with respect to X:
A)
B)
C)
D)
- A. Option D
- B. Option C
- C. Option A
- D. Option B
Answer: B
NEW QUESTION 38
Identify which of the following non-terminating geometric series converge, for values of x such that 1 < x < 2.
- A. I and IV
- B. I, II and IV
- C. II, III and IV
- D. II and IV
Answer: D
NEW QUESTION 39
Let x and y be two positive real numbers.
Rewrite the following equation such that y becomes the subject of the formula:
A)
B)
C)
D)
- A. Option D
- B. Option C
- C. Option A
- D. Option B
Answer: B
NEW QUESTION 40
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