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Interactive Drag n Drop: Fill in missing words in the paragraph
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Interactive Drag n Drop: Fill in missing words in the paragraph Interactive Drag n Drop: Fill in missing words in the paragraph     ...
by MathsGee Platinum
(103,042 points)
asked in English Language 1 day ago
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Determine \[ D_{x}\left(\frac{x^{3}+3 x^{2}+6 x+8}{x+2}\right) \]
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Prove by induction that for every natural number $n$, $n^{3}+2 n$ is divisible by 3
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What is a control variable?
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What is a control variable?What is a control variable? ...
by Pieter SIlver Status
(18,083 points)
asked in Data Science & Statistics Jan 12
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What is \(f(x) = \dfrac{x}{x-1}\) for \(x = 1\)?
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What is \(f(x) = \dfrac{x}{x-1}\) for \(x = 1\)?What is \(f(x) = \dfrac{x}{x-1}\) for \(x = 1\)? ...
by MathsGee Platinum
(103,042 points)
asked in Mathematics Jan 11
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 Determine the value of the number shown rounded to each digit's place value
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 Determine the value of the number shown rounded to each digit's place value  Determine the value of the number shown rounded to each digit's place value   ...
by MathsGee Platinum
(103,042 points)
asked in Mathematics Jan 11
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Can someone show me how to determine the place value of each digit of a number
1 answer 10 views
Can someone show me how to determine the place value of each digit of a numberCan someone show me how to determine the place value of each digit of a number ...
by MathsGee Platinum
(103,042 points)
asked in Mathematics Jan 11
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What is a quadratic number pattern?
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What is a quadratic number pattern?What is a quadratic number pattern? ...
by Pieter SIlver Status
(18,083 points)
asked in Mathematics Jan 11
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Without using a calculator, determine the value of: \[\sum_{y=3}^{10} \frac{1}{y-2}-\sum_{y=3}^{10} \frac{1}{y-1}\]

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Consider the sequence: \[ \frac{1}{2} ; 4 ; \frac{1}{4} ; 7 ; \frac{1}{8} ; 10 ; \ldots \ldots \]
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Consider the sequence: \[ \frac{1}{2} ; 4 ; \frac{1}{4} ; 7 ; \frac{1}{8} ; 10 ; \ldots \ldots \]Consider the sequence: \ \frac{1}{2} ; 4 ; \frac{1}{4} ; 7 ; \frac{1}{8} ; 10 ; \ldots \ldots \ a) If the pattern continues in the same way, write ...
by Pieter SIlver Status
(18,083 points)
asked in Mathematics Jan 11
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Find the number of digits (base 10) of the smallest number that is divisible by all numbers from 1 to 20
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Evaluate \(8 \div 2(2+2)=?\)
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What is the closed form for the Fibonacci number?
1 answer 7 views
What is the closed form for the Fibonacci number?What is the closed form for the Fibonacci number? ...
by MathsGee Platinum
(103,042 points)
asked in Mathematics Jan 11
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Prove that \(A \cup A=A\)
1 answer 15 views
Prove that \(A \cup A=A\)Prove that \(A \cup A=A\) ...
by MathsGee Platinum
(103,042 points)
asked in Mathematics Jan 8
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How can we represent the intervals on the real number line using set notation?
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Prove that \(\sqrt{2}+\sqrt{6}<\sqrt{15}\)
1 answer 21 views
Prove that \(\sqrt{2}+\sqrt{6}<\sqrt{15}\)Prove that \(\sqrt{2}+\sqrt{6}&lt;\sqrt{15}\) ...
by MathsGee Platinum
(103,042 points)
asked in Mathematics Jan 8
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Prove the following theorem:
1 answer 16 views
Prove the following theorem:Prove the following theorem: Let \(n\) and \(m\) be integers. Then i. if \(n\) and \(m\) are both even, then \(n+m\) is even, ii. if \(n\) and \(m\) ...
by MathsGee Platinum
(103,042 points)
asked in Mathematics Jan 8
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There are 3 spoons, 4 forks and 4 knives on the table. What fraction of the utensils are forks OR knives?

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What is a random variable in statistics?
1 answer 31 views
What is a random variable in statistics?What is a random variable in statistics? ...
by Pieter SIlver Status
(18,083 points)
asked in Data Science & Statistics Dec 16, 2021
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In poker, what is the number of possible hands?
1 answer 29 views
In poker, what is the number of possible hands?In poker, what is the number of possible hands? ...
by Pieter SIlver Status
(18,083 points)
asked in Data Science & Statistics Dec 16, 2021
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If \(X\) and \(Y\) are independent random variables, then \[ \operatorname{Var}(X+Y)=\operatorname{Var}(X)+\operatorname{Var}(Y) \]
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Prove that if \(X\) is a random variable with mean \(E X\) and \(c \in\) is \(a\) real number, then \(\operatorname{Var}(X)=E\left(X^{2}\right)-E(X)\)

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Prove that if \(X\) is a random variable with mean \(E X\) and \(c \in\) is \(a\) real number, then \(\operatorname{Var}(c X)=c^{2} \operatorname{Var}(X)\)

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Prove that if \(X\) is a random variable with mean \(E X\) and \(c \in\) is \(a\) real number, then \(\operatorname{Var}(X) \geq 0\).
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Simplify; \(\frac{3^{\mathrm{n}-1} \times 27^{\mathrm{n}+1}}{81^{\mathrm{n}}}\)
1 answer 25 views
Simplify; \(\frac{3^{\mathrm{n}-1} \times 27^{\mathrm{n}+1}}{81^{\mathrm{n}}}\)Simplify; \(\frac{3^{\mathrm{n}-1} \times 27^{\mathrm{n}+1}}{81^{\mathrm{n}}}\) ...
by MathsGee Platinum
(103,042 points)
asked in Mathematics Nov 10, 2021
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