Business Mathematics & Statistics #2

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| By Vu_cafeteria

Vu_cafeteria

Community Contributor

Quizzes Created: 1 | Total Attempts: 1,923

Questions: 10 | Attempts: 1,924 | Updated: Nov 16, 2023

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Questions and Answers

1.

The value of x after solving the following linear equation is -2x + 6 = 4x - 2
- A.
  
  0
- B.
  
  3
- C.
  
  1/2
- D.
  
  4/3
Correct Answer
D. 4/3

Explanation
After solving the given linear equation, we can simplify it to 6x = 8. By dividing both sides of the equation by 6, we find that x = 8/6, which can be further simplified to x = 4/3. Therefore, the value of x after solving the equation is 4/3.

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2
0
2.

Sum of annuity is always:
- A.
  
  Present Value
- B.
  
  Future Value
- C.
  
  Net Present Value
- D.
  
  Current Value
Correct Answer
B. Future Value

Explanation
An annuity is a series of equal periodic payments or receipts. The future value of an annuity refers to the total value of all the payments or receipts at a future point in time, taking into account compound interest. Therefore, the correct answer is "Future Value" because it represents the sum of all the payments or receipts in the future.

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2
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3.

How many arrangements can be made of the letter BUSINESS:
- A.
  
  6721
- B.
  
  6720
- C.
  
  6723
- D.
  
  6725
Correct Answer
B. 6720

Explanation
The given question asks for the number of arrangements that can be made with the letters in the word "BUSINESS." To solve this, we need to consider that the word contains 8 letters, including 2 S's and 2 I's. The total number of arrangements can be calculated using the formula for permutations of a word with repeated letters, which is n!/(n1! * n2! * ... * nk!), where n is the total number of letters and n1, n2, etc. are the number of repetitions for each letter. In this case, the number of arrangements is 8!/(2! * 2!) = 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 / (2 * 1 * 2 * 1) = 6720.

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4.

The RSQ of any data is:
- A.
  
  Square root of correlation coefficient.
- B.
  
  Square of correlation coefficient.
- C.
  
  Correlation coefficient.
- D.
  
  Slope of the data.
Correct Answer
B. Square of correlation coefficient.

Explanation
The RSQ (coefficient of determination) of any data is the square of the correlation coefficient. The correlation coefficient measures the strength and direction of the linear relationship between two variables. By squaring the correlation coefficient, we obtain the RSQ, which represents the proportion of the variance in one variable that can be explained by the other variable. Therefore, the square of the correlation coefficient is the correct answer.

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5.

How many ways can 10 letters be posted in 5 post boxes, if each of the post boxes can take more than 10 letters?
- A.
  
  5^10
- B.
  
  10^5
- C.
  
  10P5
- D.
  
  10C5
Correct Answer
D. 10C5

Explanation
The answer 10C5 represents the number of ways to choose 5 letters out of 10 to be placed in the post boxes. This is because 10C5, also known as "10 choose 5" or the binomial coefficient, calculates the number of combinations without regard to the order in which the letters are placed in the boxes. Therefore, it is the appropriate choice for this question.

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6.

When there is no linear correlation between two variables, what will the value of r be?
- A.
  
  1
- B.
  
  -1
- C.
  
  0
- D.
  
  A very small negative number
Correct Answer
C. 0

Explanation
When there is no linear correlation between two variables, the value of r, which represents the correlation coefficient, will be 0. This means that there is no relationship or association between the variables. A correlation coefficient of 0 indicates that there is no linear pattern in the data points, and they are scattered randomly.

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7.

The mode of the words in the word CORRELATION is:
- A.
  
  L
- B.
  
  R
- C.
  
  O
- D.
  
  Both R and O
Correct Answer
D. Both R and O

Explanation
The mode of a set of data is the value(s) that appear(s) most frequently. In the word "CORRELATION," both the letters "R" and "O" appear twice, while the other letters appear only once. Therefore, both "R" and "O" are the mode of the word "CORRELATION."

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8.

The point where a straight line cuts the X-axis is called:
- A.
  
  Slope
- B.
  
  Starting point
- C.
  
  Y-intercept
- D.
  
  X-intercept
Correct Answer
C. Y-intercept

Explanation
The point where a straight line cuts the X-axis is called the y-intercept. This is because the y-intercept is the value of y when x is equal to zero, which means it represents the point where the line intersects the y-axis. In other words, it is the point on the line where the x-coordinate is zero.

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9.

Which of the following indicates a strong positive correlation.
- A.
  
  R=0
- B.
  
  R=-0.793
- C.
  
  R=0.913
- D.
  
  R=0.45
Correct Answer
C. R=0.913

Explanation
The value of r=0.913 indicates a strong positive correlation. A correlation coefficient measures the strength and direction of the linear relationship between two variables. A correlation coefficient of 0.913 indicates a strong positive relationship, meaning that as one variable increases, the other variable also tends to increase. The closer the value of r is to 1, the stronger the positive correlation. Therefore, a value of 0.913 suggests a strong positive relationship between the variables being studied.

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10.

Which of the following is not a type of graph?
- A.
  
  Line graph
- B.
  
  Frequency distributions
- C.
  
  Histogram
- D.
  
  Median
Correct Answer
D. Median

Explanation
The question asks for a type of graph, but "Median" is not a type of graph. It is a statistical measure used to find the middle value in a set of data. Therefore, it does not fit the criteria of being a type of graph.

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Current Version
Nov 16, 2023

Quiz Edited by
ProProfs Editorial Team
Jan 11, 2010

Quiz Created by
Vu_cafeteria

Business Mathematics & Statistics #2

The value of x after solving the following linear equation is -2x + 6 = 4x - 2

Sum of annuity is always:

How many arrangements can be made of the letter BUSINESS:

The RSQ of any data is:

How many ways can 10 letters be posted in 5 post boxes, if each of the post boxes can take more than 10 letters?

When there is no linear correlation between two variables, what will the value of r be?

The mode of the words in the word CORRELATION is:

The point where a straight line cuts the X-axis is called:

Which of the following indicates a strong positive correlation.

Which of the following is not a type of graph?