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asked 1 day ago in Mathematics by TestMaverick Wooden (2,370 points) | 7 views

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

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asked 1 day ago in Mathematics by TestMaverick Wooden (2,370 points) | 6 views

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

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asked 1 day ago in Mathematics by TestMaverick Wooden (2,370 points) | 9 views

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

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asked Jun 14 in Mathematics by Teddy Bronze Status (8,690 points) | 5 views

Simplify the following surds

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asked Jun 14 in Mathematics by ♦MathsGee Diamond (75,350 points) | 6 views

What new ideas about mathematics have you learnt recently?

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asked Jun 14 in Data Science & Statistics by ♦MathsGee Diamond (75,350 points) | 7 views

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

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asked Jun 11 in Mathematics by ♦MathsGee Diamond (75,350 points) | 7 views

Find the density that will maximize the hourly flow.

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asked Jun 9 in Mathematics by ♦MathsGee Diamond (75,350 points) | 10 views

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

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asked Jun 9 in Mathematics by ♦MathsGee Diamond (75,350 points) | 9 views

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

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asked Jun 9 in Mathematics by ♦MathsGee Diamond (75,350 points) | 10 views

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

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asked Jun 9 in Mathematics by ♦MathsGee Diamond (75,350 points) | 14 views

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

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asked May 30 in Mathematics by ♦Pieter Gold Status (10,261 points) | 16 views

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?

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asked May 30 in Mathematics by ♦MathsGee Diamond (75,350 points) | 13 views

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

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asked May 30 in Data Science & Statistics by ♦MathsGee Diamond (75,350 points) | 14 views

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?

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asked May 30 in Data Science & Statistics by ♦MathsGee Diamond (75,350 points) | 13 views

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

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asked May 30 in Data Science & Statistics by ♦MathsGee Diamond (75,350 points) | 17 views

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

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asked May 30 in Data Science & Statistics by ♦MathsGee Diamond (75,350 points) | 12 views

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

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asked May 30 in Data Science & Statistics by ♦MathsGee Diamond (75,350 points) | 9 views

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 $P(|X-1.8|<0.6)$.

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asked May 30 in Data Science & Statistics by ♦MathsGee Diamond (75,350 points) | 11 views

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 $Y=-2 X+3$.

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asked May 29 in Mathematics by ♦MathsGee Diamond (75,350 points) | 6 views

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?

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asked May 24 in Mathematics by ♦Pieter Gold Status (10,261 points) | 9 views

How do you form numerals from digits?

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asked May 22 in Data Science & Statistics by ♦Pieter Gold Status (10,261 points) | 24 views

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

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asked May 10 in Mathematics by ♦Pieter Gold Status (10,261 points) | 18 views

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

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asked May 10 in Mathematics by ♦Pieter Gold Status (10,261 points) | 22 views

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

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asked May 10 in Mathematics by ♦Pieter Gold Status (10,261 points) | 29 views

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

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asked May 10 in Mathematics by ♦Pieter Gold Status (10,261 points) | 18 views

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

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asked May 10 in Mathematics by ♦Pieter Gold Status (10,261 points) | 20 views

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 $|z|=R>1$.

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asked May 9 in Mathematics by ♦MathsGee Diamond (75,350 points) | 16 views

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

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asked May 9 in Mathematics by ♦MathsGee Diamond (75,350 points) | 8 views

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

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asked May 9 in Mathematics by ♦MathsGee Diamond (75,350 points) | 13 views

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 $0<x<1$.

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asked May 9 in Mathematics by ♦MathsGee Diamond (75,350 points) | 11 views

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

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asked May 9 in Mathematics by ♦MathsGee Diamond (75,350 points) | 40 views

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.

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asked May 9 in Mathematics by ♦MathsGee Diamond (75,350 points) | 15 views

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 $n \rightarrow \infty$

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asked May 9 in Mathematics by ♦MathsGee Diamond (75,350 points) | 13 views

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 $h(z)=z$

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asked May 9 in Mathematics by ♦MathsGee Diamond (75,350 points) | 8 views

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

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asked May 9 in Mathematics by ♦MathsGee Diamond (75,350 points) | 8 views

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

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asked May 9 in Mathematics by ♦MathsGee Diamond (75,350 points) | 13 views

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 $n \rightarrow \infty$.

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asked May 8 in Data Science & Statistics by ♦Pieter Gold Status (10,261 points) | 9 views

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

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asked Apr 13 in Physics by ♦MathsGee Diamond (75,350 points) | 20 views

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

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asked Apr 13 in Physics by ♦MathsGee Diamond (75,350 points) | 94 views

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 $\pm 3\%$.

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asked Apr 13 in Physics by Teddy Bronze Status (8,690 points) | 25 views

For which quantity is the magnitude a resonable estimate?

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asked Apr 5 in Data Science & Statistics by ♦MathsGee Diamond (75,350 points) | 11 views

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

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asked Apr 4 in Mathematics by ♦MathsGee Diamond (75,350 points) | 11 views

Are all surds irrational?

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asked Mar 26 in Mathematics by ♦MathsGee Diamond (75,350 points) | 36 views

How do you estimate surds without using a calculator?

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asked Sep 27, 2020 in Accounting by ♦CT Diamond (40,182 points) | 44 views

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

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asked Jun 12, 2020 in Mathematics by ♦CT Diamond (40,182 points) | 23 views

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

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asked May 26, 2020 in Data Science & Statistics by ♦MathsGee Diamond (75,350 points) | 213 views

What is the difference between point estimate and interval estimate?

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asked May 26, 2020 in Data Science & Statistics by ♦MathsGee Diamond (75,350 points) | 146 views

Which of the following statements is true?

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asked May 26, 2020 in Data Science & Statistics by ♦MathsGee Diamond (75,350 points) | 63 views

What is a parameter estimate?

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asked May 26, 2020 in Data Science & Statistics by ♦MathsGee Diamond (75,350 points) | 52 views

What is a point estimate in statistics?

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