Maths Group11
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The main purposes of this channel are to: 1. 📝 Provide various Mathematics questions and exercises. 2. 📚 Share and publish different educational books. 3. 📖 Provide useful short notes and study materials. For more, contact us through: @Fikiru_Asnake
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5 107
What is the value of x in the sequence -1, 0, 2, 6, x, 30, 62, ...?
5 107
Maths statistics and probability questions:
1. In statistics, what is the formula for calculating the mean of a set of numbers?
a) Sum of all numbers / Total number of numbers
b) Highest number - Lowest number
c) Median of the numbers
d) Mode of the numbers
2. What is the range of the following set of numbers: 12, 15, 18, 21, 24?
a) 9
b) 12
c) 15
d) 18
3. In probability, what is the formula for calculating the probability of an event A occurring?
a) P(A) = Number of favorable outcomes / Total number of outcomes
b) P(A) = Total number of outcomes / Number of favorable outcomes
c) P(A) = Number of favorable outcomes * Total number of outcomes
d) P(A) = Total number of outcomes - Number of favorable outcomes
4. If the probability of event A occurring is 0.4 and the probability of event B occurring is 0.3, what is the probability of both events A and B occurring?
a) 0.7
b) 0.6
c) 0.5
d) 0.4
5. In statistics, which measure of central tendency is most affected by outliers in a dataset?
a) Mean
b) Median
c) Mode
d) Range
6. What is the standard deviation of the following set of numbers: 10, 12, 14, 16, 18?
a) 2
b) 3
c) 4
d) 5
7. In probability, what is the complement of an event A?
a) The event A itself
b) The opposite of event A not occurring
c) The probability of event A occurring
d) The sum of all possible outcomes
8. If the probability of event A occurring is 0.6 and the probability of event B occurring is 0.7, what is the probability of either event A or event B occurring?
a) 0.13
b) 0.6
c) 0.7
d) 0.8
9. In statistics, what does the term "correlation coefficient" measure?
a) The strength and direction of a linear relationship between two variables
b) The average value in a dataset
c) The spread of data points around the mean
d) The most frequently occurring value in a dataset
10. What is the interquartile range (IQR) of the following set of numbers: 5, 8, 10, 12, 15, 20?
a) 10
b) 12
c) 13
d) 15
11. In probability, what is the formula for calculating the conditional probability of event A given that event B has occurred?
a) P(A|B) = P(A and B) / P(B)
b) P(A|B) = P(A and B) * P(B)
c) P(A|B) = P(B|A) * P(A)
d) P(A|B) = P(A and B) + P(B)
12. If the mean of a dataset is 25 and the standard deviation is 5, what percentage of data points fall within one standard deviation from the mean?
a) 34%
b) 68%
c) 95%
d) 99%
13. In statistics, what does a box plot display about a dataset?
a) The spread and skewness of data points
b) The mean and median values
c) The range and standard deviation
d) The mode and variance
14. What is the probability of rolling a prime number (2, 3, or 5) on a fair six-sided die?
a) 1/2
b) 1/3
c) 1/4
d) 1/6
15. In statistics, if a dataset has a skewness value of -0.5, what type of skewness does it exhibit?
a) Positively skewed
b) Negatively skewed
c) Symmetrically distributed
d) No skewness
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5 107
What is the domain of f(x) = 3x - 5 ?
A. An element of real numbers.
B. Positive real numbers.
C. Real numbers except 5/3.
D. An element of intigers.
Write your answer under the comment! 🙏
5 107
Suppose the quadratic equation ax² + x-c = 0 has two real roots r1 and r2. If r1+r2 = r1×r2 = -1/2, then c is equal to ____________
5 107
What is the solution set of the system of linear equations x+ y = 7 and 2x +3y = -3 ?
5 107
The solution set of the quadratic equation x² + 6x +8 = 0 is__________.
5 107
Learn these 3 useful phrasal verbs with “BREAK” and use them confidently in everyday conversations! 🗣️📖
🔹 1. BREAK UP — To divide something into smaller parts.
✅ Example: Let’s break up the chocolate bar and share it. 🍫
🔹 2. BREAK OFF — To detach or separate a piece from something.
✅ Example: She broke off a piece of the cake. 🎂
🔹 3. BREAK APART — To separate into pieces or cause something to fall apart.
✅ Example: The vase fell and broke apart into pieces. 🏺
💡 Quick Tip:
🔸 Up = Divide
🔸 Off = Detach a piece
🔸 Apart = Separate into pieces
@maths_group11
5 107
✨ Learn these 3 useful phrasal verbs with CUT!
🔹 CUT OFF — To disconnect or stop a supply. 🚰
Example: She cut off the water supply.
🔹 CUT DOWN (ON) — To reduce the amount of something. 🍬
Example: He cut down on sugar.
🔹 CUT OUT — To remove something by cutting. ✂️
Example: She cut out a heart shape. ❤️
@maths_group11
5 107
If Birr 5000 is invested at a rate of 6% compounded quarterly ( 4 times a year), then how long does it take to double the investment?
5 107
In situations involving non conservative external force, the work done by these forces:
5 107
A force F = x + 1 N acts on a particle in x direction. What is the work done from x = 2m to 5 m?
5 107
The area under the force (F) versus displacement (x) graph gives work.
5 107
A force F = (5i – 3j +2k) N moves a particle from r1 = (2i + 7j + 4k) m to r2 = (5i + 2j + 8k) m. What is the work done by the force?
