Question 31
Calculate the mean of the data set: 2, 4, 6, 8, 10.Statistics: measures of central tendencyStatisticseasy
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Question 32
What is the probability of getting exactly two heads when flipping three fair coins?Probability and combinatoricsProbability and combinatoricsmedium
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Question 33
If the sequence is geometric with first term 5 and common ratio 2, what is the 4th term?Progressions: arithmetic and geometricProgressions: arithmetic and geometricmedium
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Question 34
Find the inverse of the matrix [[1, 2],[3, 4]].Matrices and determinantsMatrices and determinantshard
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Question 35
If A = {1, 2, 3} and B = {2, 3, 4}, what is A ∩ B?Sets and logicSets and logiceasy
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Question 36
Using mathematical induction, prove that the sum of the first n natural numbers is given by S = n(n+1)/2. What is the base case?Mathematical inductionMathematical inductioneasy
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Question 37
Rationalize the denominator of \( \frac{5}{\sqrt{3}} \).SurdsSurdsmedium
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Question 38
If \( \log_a 81 = 4 \), what is the value of \( a \)?LogarithmsLogarithmsmedium
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Question 39
If \( 3x + 5 = 17 \), find \( x \).Algebraic expressions and equationsAlgebraic expressions and equationseasy
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Question 40
Calculate the determinant of the matrix \( \begin{pmatrix} 2 & 3 \\ 4 & 5 \end{pmatrix} \).Matrices and determinantsMatrices and determinantsmedium
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