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The complex number $i^{19}$ is equal to
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The complex number $i^{19}$ is equal toThe complex number $i^{19}$ is equal to   A) 1 B) $-1$ C) i D) $-i$ E) none of the above ...
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asked in Mathematics Jan 13
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The complex number $\frac{1-2 i}{1+2 i}$ is equal to
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The complex number $\frac{1-2 i}{1+2 i}$ is equal toThe complex number $\dfrac{1-2 i}{1+2 i}$ is equal to   A) $\dfrac{3}{5}+\dfrac{4}{5} i$ B) $-\dfrac{3}{5}+\dfrac{4}{5} i$ C) $\dfrac{3}{5}-\ ...
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asked in Mathematics Jan 13
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Solve the equation $$ z^{3}+8 i=0 $$
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Solve the equation $$ z^{3}+8 i=0 $$Solve the equation $$ z^{3}+8 i=0 $$ ...
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asked in Mathematics Jan 13
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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
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asked in Data Science & Statistics Jan 12
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Prove that \(A \cup \emptyset=A\)
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Prove that \(A \cup \emptyset=A\)Prove that \(A \cup \emptyset=A\) ...
by MathsGee Platinum
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asked in Mathematics Jan 8
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Prove that \(A \cup(B \cup C)=(A \cup B) \cup C\), (associative law)
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Prove that \(A \cup(B \cup C)=(A \cup B) \cup C\), (associative law)Prove that \(A \cup(B \cup C)=(A \cup B) \cup C\), (associative law) ...
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asked in Mathematics Jan 8
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Prove that \(A \cup A=A\)
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Prove that \(A \cup A=A\)Prove that \(A \cup A=A\) ...
by MathsGee Platinum
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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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 Let \(A=\{1,2,3,4\}\) and \(B=\left\{x: x \in \mathbb{N}, x^{2}<17\right\}\), where \(\mathbb{N}\) is the set of natural numbers. Show that \(A=B\).

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Proof: \(\forall x \in \mathbb{Z}, 0 \times x=x \times 0=0\)
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Proof: Let \(x, y, z \in \mathbb{Z} .\) If \(x+y=x+z\), then \(y=z\).
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Proof: Let \(x, y, z \in \mathbb{Z} .\) If \(x+y=x+z\), then \(y=z\).Proof: Let \(x, y, z \in \mathbb{Z} .\) If \(x+y=x+z\), then \(y=z\). ...
by MathsGee Platinum
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asked in Mathematics Jan 8
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Proof: Let \(n \in \mathbb{N}, n>1\). Suppose that \(n\) is not prime \(\Longrightarrow 2^{n}-1\) is not a prime.
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Proof: Let \(n \in \mathbb{N}, n>1\). Suppose that \(n\) is not prime \(\Longrightarrow 2^{n}-1\) is not a prime.What is the proof of this theorem? Let \(n \in \mathbb{N}, n&gt;1\). Suppose that \(n\) is not prime \(\Longrightarrow 2^{n}-1\) is not a prime. ...
by MathsGee Platinum
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asked in Mathematics Jan 8
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What is range in statistics?
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What is range in statistics?What is range in statistics? ...
by MathsGee Platinum
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asked in Data Science & Statistics Jan 3
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Solve the proportion \(\dfrac{5}{3}=\dfrac{x}{6}\) for the unknown value \(x\).
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What is a random variable in statistics?
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What is a random variable in statistics?What is a random variable in statistics? ...
by Pieter SIlver Status
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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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What is the name of the temperature at which water boils
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What is the name of the temperature at which water boilsWhat is the name of the temperature at which water boils ...
by MathsGee Platinum
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asked in Chemistry Nov 17, 2021
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What is likely to happen to real gross domestic product as a result of the relationship between spending and output?
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Show that \(x^{2}-6 x+11>0\) for all real values of \(x\).
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Show that \(x^{2}-6 x+11>0\) for all real values of \(x\).Show that \(x^{2}-6 x+11&gt;0\) for all real values of \(x\). ...
by MathsGee Platinum
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asked in Mathematics Nov 9, 2021
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