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Simplify the following algebraic expression: $\frac{16 x^{2}}{4 x}-\frac{21 x^{3} y^{2}}{7 x^{2} y^{2}}$

asked Jun 17 in Mathematics by TestMaverick Wooden (2,922 points) | 8 views

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A human resource manager is trying to estimate the cost of a workforce accident.

asked Jun 17 in Mathematics by TestMaverick Wooden (2,922 points) | 7 views

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Simplify $9 x+3 y-\frac{7}{2} x+4 y$

asked Jun 17 in Mathematics by TestMaverick Wooden (2,922 points) | 9 views

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Simplify the following surds

asked Jun 14 in Mathematics by Teddy Bronze Status (8,758 points) | 7 views

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What new ideas about mathematics have you learnt recently?

asked Jun 14 in Mathematics by ♦MathsGee Diamond (75,934 points) | 6 views

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Carry out a test of significance for $H_{0}: \mu=40 \mathrm{hrs}$ vs $H_{1} \mu>40 \mathrm{hrs} . \alpha=0.05$

asked Jun 14 in Data Science & Statistics by ♦MathsGee Diamond (75,934 points) | 7 views

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Find the density that will maximize the hourly flow.

asked Jun 11 in Mathematics by ♦MathsGee Diamond (75,934 points) | 7 views

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If $|z+4| \leq 3$ then the maximum value of $|z+1|$ is

asked Jun 9 in Mathematics by ♦MathsGee Diamond (75,934 points) | 10 views

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If $z=x-i y$ and $z^{\frac{1}{3}}=p+i q$, then $\frac{\left(\frac{x}{p}+\frac{y}{q}\right)}{\left(p^{2}+q^{2}\right)}$ is equal to

asked Jun 9 in Mathematics by ♦MathsGee Diamond (75,934 points) | 10 views

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If $\left(\frac{1+i}{1-i}\right)^{x}=1$, then

asked Jun 9 in Mathematics by ♦MathsGee Diamond (75,934 points) | 11 views

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Let $f(x)=(x+1)^{2}-1, x \geq-1$

asked Jun 9 in Mathematics by ♦MathsGee Diamond (75,934 points) | 15 views

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What is the minimum value that the expression $$ \frac{x^{2} y^{2}-2 x^{2} y+2 x^{2}+2 x y-2 x+1}{x^{2} y+x} $$ where $x, y \in \mathbb{R}^{+}$, can attain?

asked May 30 in Mathematics by ♦Pieter Gold Status (10,273 points) | 20 views

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For $x, y, z \in \mathbb{R}^{+}$ prove that $x^{2}+y^{2}+z^{2} \geq x \sqrt{y^{2}+z^{2}}+y \sqrt{x^{2}+z^{2}}$.

asked May 30 in Mathematics by ♦MathsGee Diamond (75,934 points) | 14 views

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Harley surveyed his classmates about how many siblings they have and got the following data: $0,1,3,5,4,2,2,9,1,2,0,1,1,1,1,3$ Which measure is best measure of center of the data?

asked May 30 in Data Science & Statistics by ♦MathsGee Diamond (75,934 points) | 17 views

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Suppose $X$ is $\mathrm{N}\left(\mu, \sigma^{2}\right)$. For $a=1,2,3$ find $P(|X-\mu|<a \sigma)$.

asked May 30 in Data Science & Statistics by ♦MathsGee Diamond (75,934 points) | 16 views

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Suppose $X$ is $\mathrm{N}(-1,4)$. Find

asked May 30 in Data Science & Statistics by ♦MathsGee Diamond (75,934 points) | 17 views

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Suppose $X$ is $\mathrm{N}(10,1) .$ Find (i) $P[X>10.5]$, (ii) $P[9.5<X<11]$, (iii) $x$ such that $P[X<x]=0.95$.

asked May 30 in Data Science & Statistics by ♦MathsGee Diamond (75,934 points) | 12 views

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Let the random variable $X$ have the density $f(x)=k x$ if $0 \leq x \leq 3$. Find $k$. Find $x_{1}$ and $x_{2}$ such that $P\left(X \leq x_{1}\right)=0.1$ and $P\left(X \leq x_{2}\right)=0.95 .$ Find $P(|X-1.8|<0.6)$.

asked May 30 in Data Science & Statistics by ♦MathsGee Diamond (75,934 points) | 9 views

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Let $X$ have the density $f(x)=2 x$ if $0 \leq x \leq 1$ and $f(x)=0$ otherwise. Show that $X$ has the mean $2 / 3$ and the variance $1 / 18$. Find the mean and the variance of the random variable $Y=-2 X+3$.

asked May 30 in Data Science & Statistics by ♦MathsGee Diamond (75,934 points) | 11 views

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What is the area of the portion of the surface $z=x^{2}+y^{2}$ lying inside the cylinder $x^{2}+y^{2}=4$ in $x y z$ -space?

asked May 29 in Mathematics by ♦MathsGee Diamond (75,934 points) | 6 views

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How do you form numerals from digits?

asked May 24 in Mathematics by ♦Pieter Gold Status (10,273 points) | 9 views

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In a presidential election, there are four candidates. Call them $\mathrm{A}, \mathrm{B}, \mathrm{C}$, and $\mathrm{D}$.

asked May 22 in Data Science & Statistics by ♦Pieter Gold Status (10,273 points) | 24 views

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Let $f(z)$ be the principal branch of $\sqrt[3]{z}$.

asked May 10 in Mathematics by ♦Pieter Gold Status (10,273 points) | 22 views

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Show that $$ |\cos (z)|^{2}=(\cos x)^{2}+(\sinh y)^{2} $$ for all $z \in \mathbb{C}$, where $x=\operatorname{Re}(z)$ and $y=\operatorname{Im}(z)$

asked May 10 in Mathematics by ♦Pieter Gold Status (10,273 points) | 22 views

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Show that $$ |\sin z|^{2}=(\sin x)^{2}+(\sinh y)^{2} $$ for all complex numbers $z=x+y i$.

asked May 10 in Mathematics by ♦Pieter Gold Status (10,273 points) | 31 views

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Show that $$ |\log (z)| \leq|\ln | z||+\pi $$ for all $z \neq 0$

asked May 10 in Mathematics by ♦Pieter Gold Status (10,273 points) | 18 views

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Show that $$ \frac{R^{4}-R}{R^{2}+R+1} \leq\left|\frac{z^{4}+i z}{z^{2}+z+1}\right| \leq \frac{R^{4}+R}{(R-1)^{2}} $$ for all $z$ satisfying $|z|=R>1$.

asked May 10 in Mathematics by ♦Pieter Gold Status (10,273 points) | 20 views

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Determine the best value of $h$ for the greatest accuracy of the answer. How many digits accuracy can you expect with this choice of $h ?$

asked May 9 in Mathematics by ♦MathsGee Diamond (75,934 points) | 19 views

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Show that for any $n$, there is a $z \in[a, b]$ such that $z$ has period $n$ under $f$.

asked May 9 in Mathematics by ♦MathsGee Diamond (75,934 points) | 8 views

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Assume that $f_{\mu}(x)=\mu \cdot x \cdot(1-x)$. Show that if $1 \leq \mu \leq 3$, then $f_{\mu}^{n}(x) \rightarrow 1-\frac{1}{\mu}$ as $n \rightarrow \infty$ for all $0<x<1$.

asked May 9 in Mathematics by ♦MathsGee Diamond (75,934 points) | 13 views

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Show that if $0 \leq \mu \leq 1$, then $f_{\mu}^{n}(x) \rightarrow 0$ as $n \rightarrow \infty$ for all $0 \leq x \leq 1$.

asked May 9 in Mathematics by ♦MathsGee Diamond (75,934 points) | 12 views

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Show that the Newton-Raphson method converges quadratically. That is, suppose that the fixed point is $z$ and that the error of the $n$ th iteration is $\left|x_{n}-z\right|=h$, then $\left|x_{n+1}-z\right| \approx h^{2}$ for $h$ small enough.

asked May 9 in Mathematics by ♦MathsGee Diamond (75,934 points) | 40 views

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Show that there is an $\varepsilon>0$ such that for any $x_{0} \in$ $[z-\varepsilon, z+\varepsilon], g^{n}\left(x_{0}\right) \rightarrow z$ as $n \rightarrow \infty$

asked May 9 in Mathematics by ♦MathsGee Diamond (75,934 points) | 15 views

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Let $h$ be a continuous function $h: R^{n} \rightarrow R^{n}$. Let $x_{0} \in R^{n} .$ Suppose that $h^{n}\left(x_{0}\right) \rightarrow z$ as $n \rightarrow \infty$. Show that $h(z)=z$

asked May 9 in Mathematics by ♦MathsGee Diamond (75,934 points) | 13 views

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Estimate the error of $Q(90)$ and find an extrapolated approximation.

asked May 9 in Mathematics by ♦MathsGee Diamond (75,934 points) | 8 views

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Derive a formula to extrapolate the $Q(n)$ to get, $\tilde{Q}(n)$, a better estimate of $I$.

asked May 9 in Mathematics by ♦MathsGee Diamond (75,934 points) | 8 views

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Suppose that one estimates a quantity $I$ by its numerical approximation, $Q(n)$ for $n=10,30,90, \ldots$ It is known that $|I-Q(n)|=\mathrm{O}\left(n^{-4}\right)$ as $n \rightarrow \infty$.

asked May 9 in Mathematics by ♦MathsGee Diamond (75,934 points) | 13 views

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Why is it difficult to estimate individual treatment effects in Causal Inference?

asked May 8 in Data Science & Statistics by ♦Pieter Gold Status (10,273 points) | 9 views

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An Olympic athlete of mass $80kg$ competes in a race. What is the best estimate of his kinetic energy during the race?

asked Apr 13 in Physics by ♦MathsGee Diamond (75,934 points) | 20 views

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A student makes measurements from which she calculates the speed of sound as $327.66 ms^{-1}$. She estimates that her result is accurate to $\pm 3\%$.

asked Apr 13 in Physics by ♦MathsGee Diamond (75,934 points) | 106 views

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For which quantity is the magnitude a resonable estimate?

asked Apr 13 in Physics by Teddy Bronze Status (8,758 points) | 25 views

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How does one estimate heterogeneous treatment effects with causal trees and causal forests?

asked Apr 5 in Data Science & Statistics by ♦MathsGee Diamond (75,934 points) | 12 views

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Are all surds irrational?

asked Apr 4 in Mathematics by ♦MathsGee Diamond (75,934 points) | 11 views

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How do you estimate surds without using a calculator?

asked Mar 26 in Mathematics by ♦MathsGee Diamond (75,934 points) | 36 views

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The .......................... includes estimates of start-up costs and future income and expenses.

asked Sep 27, 2020 in Accounting by ♦CT Diamond (40,192 points) | 45 views

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Give the estimated rate of children under the age of five who die of Aids in the six African countries listed on the graph.

asked Jun 12, 2020 in Mathematics by ♦CT Diamond (40,192 points) | 23 views

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What is the difference between point estimate and interval estimate?

asked May 26, 2020 in Data Science & Statistics by ♦MathsGee Diamond (75,934 points) | 245 views

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Which of the following statements is true?

asked May 26, 2020 in Data Science & Statistics by ♦MathsGee Diamond (75,934 points) | 149 views

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What is a parameter estimate?

asked May 26, 2020 in Data Science & Statistics by ♦MathsGee Diamond (75,934 points) | 63 views

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What is a point estimate in statistics?

asked May 26, 2020 in Data Science & Statistics by ♦MathsGee Diamond (75,934 points) | 52 views

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