Recent questions tagged theorem

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asked 14 hours ago in Mathematics by ♦MathsGee Diamond (66,722 points) | 7 views

In the Pascal family, each child has at least 2 brothers and at least 1 sister. What is the smallest possible number of children in this family?

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asked 14 hours ago in Mathematics by ♦MathsGee Diamond (66,722 points) | 7 views

A glass of water weighs $800 \mathrm{~g}$. When half the water is poured out it weighs $500 \mathrm{~g}$. Find the weight of the glass when empty.

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asked 1 day ago in Mathematics by ♦MathsGee Diamond (66,722 points) | 7 views

Find the remainder when 2019 is divided by 37

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asked 2 days ago in Mathematics by ♦Pieter Bronze Status (6,969 points) | 6 views

Use the binomial theorem to expand

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asked 2 days ago in Mathematics by ♦MathsGee Diamond (66,722 points) | 9 views

What does Fermat’s Theorem say?

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asked 2 days ago in Mathematics by ♦MathsGee Diamond (66,722 points) | 6 views

What does the Extreme Value Theorem state?

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asked 2 days ago in Mathematics by ♦MathsGee Diamond (66,722 points) | 4 views

What does the Intermediate Value Theorem state?

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asked 2 days ago in Mathematics by ♦MathsGee Diamond (66,722 points) | 4 views

What does L'Hospital's Rule state?

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asked 2 days ago in Mathematics by ♦MathsGee Diamond (66,722 points) | 3 views

What does the Squeeze Theorem/law of limits say in calculus?

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asked May 9 in Mathematics by Teddy Bronze Status (5,952 points) | 6 views

When a number is divided by 3 it leaves remainder as $5 .$ What will be the remainder when $3 \mathrm{n}+3$ are divided by 3 ?

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asked May 9 in Data Science by Teddy Bronze Status (5,952 points) | 7 views

What is the probability that the person has the disease. Solve this exactly using Bayes' Theorem.

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asked May 8 in Physics by ♦Pieter Bronze Status (6,969 points) | 8 views

What is the difference between Impulse and momentum?

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asked May 8 in Mathematics by ♦Pieter Bronze Status (6,969 points) | 7 views

Does the Pythagorean theorem generalize to arbitrary inner product spaces?

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asked May 6 in Mathematics by Teddy Bronze Status (5,952 points) | 8 views

The equation of the tangent to the circle at point $\mathrm{T}(5 ;-1) .$

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asked May 6 in Mathematics by ♦MathsGee Diamond (66,722 points) | 3 views

Calculate the value of $\mathrm{n}$ if: $ \sum_{k=1}^{n} 3^{k}=1092 $

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asked May 6 in Mathematics by ♦MathsGee Diamond (66,722 points) | 5 views

Find two different sets of parametric equations to represent the graph of $y=x^{2}+2 x$.

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asked May 6 in Mathematics by ♦MathsGee Diamond (66,722 points) | 5 views

Find two different pairs of parametric equations to represent the graph of $y=2 x^{2}-3$.

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asked May 4 in Mathematics by ♦MathsGee Diamond (66,722 points) | 25 views

Solve for $x: 3x - 3 = 0$

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asked Apr 12 in Mathematics by ♦MathsGee Diamond (66,722 points) | 14 views

Find the two $x$ values at which the tangent line to the curve $y=\dfrac{x+3}{x+2}$ is perpendicular to the line $y=x$

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asked Apr 12 in Mathematics by ♦MathsGee Diamond (66,722 points) | 9 views

Find the value of $A$ using the formula $A = Pe^{rt}$ given the following values of $P, r$ and $t$. Round to the nearest hundredth.

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asked Apr 6 in Mathematics by ♦MathsGee Diamond (66,722 points) | 11 views

Solve the exponential equation for $x: e^{x - 4} e^{2x + 9} = 14$

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asked Apr 1 in Mathematics by ♦MathsGee Diamond (66,722 points) | 13 views

Solve for $x$ :$(2x-3)(4-x)$

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asked Mar 29 in Mathematics by ♦MathsGee Diamond (66,722 points) | 25 views

Solve the simultaneous equations $x=2y$ and $x^2-5xy=-24$

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asked Mar 29 in Data Science by Eddie Wooden (1,884 points) | 12 views

Mathematical Finance - State the Fundamental Theorem of Asset Pricing

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asked Mar 29 in Data Science by Eddie Wooden (1,884 points) | 12 views

What is the Martingale Representation Theorem in mathematical finance?

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asked Mar 29 in Data Science by Eddie Wooden (1,884 points) | 21 views

Mathematical Finance: State the Cameron-Martin-Girsanov Theorem

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asked Mar 26 in Mathematics by ♦MathsGee Diamond (66,722 points) | 17 views

Factorise: $16y^{3} - 432$

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asked Mar 26 in Mathematics by ♦MathsGee Diamond (66,722 points) | 21 views

Factorise: $x^{3}+8$

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asked Mar 26 in Mathematics by ♦MathsGee Diamond (66,722 points) | 9 views

Factorise: $x^{3} - 1$

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asked Feb 20 in Mathematics by ♦MathsGee Diamond (66,722 points) | 12 views

How to find the roots of $-x^3+3x^2-7x+5 = 0$?

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asked Feb 20 in Mathematics by ♦MathsGee Diamond (66,722 points) | 31 views

How do you factorize $x^2+3x-4=0$ in order to solve the equation?

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asked Feb 19 in Mathematics by ♦MathsGee Diamond (66,722 points) | 30 views

Solve the equation $x^2+3x+4=0$

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asked Feb 19 in Mathematics by ♦MathsGee Diamond (66,722 points) | 19 views

If $x \in R$, what is the least possible value of the expression $|x + 1| + |x − 2| + |5 − x|$?

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asked Feb 18 in Mathematics by ♦MathsGee Diamond (66,722 points) | 35 views

Consider a function $2x^3-11x^2+2x+15$. Determine the remainder when $f$ is divided by $2x^2-x-3$ and what can be deduced from your remainder?

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asked Feb 18 in Mathematics by ♦Pieter Bronze Status (6,969 points) | 14 views

For what real numbers $x$ is the equation $(x^2 + 6x + 10)^{x^2+2} = 1$ true?

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asked Feb 18 in Mathematics by ♦Pieter Bronze Status (6,969 points) | 17 views

Find the area of triangle $HCD$.

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asked Feb 17 in Mathematics by ♦Pieter Bronze Status (6,969 points) | 31 views

The roots of the quadratic equation $x^2 − 51x + k = 0 $ differ by $75$, where $k$ is a real number. Determine the sum of the squares of the roots.

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asked Feb 17 in Mathematics by ♦Pieter Bronze Status (6,969 points) | 19 views

How many real numbers $x$ satisfy the equation $x^x = x^2$ ?

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asked Feb 17 in Mathematics by ♦Pieter Bronze Status (6,969 points) | 16 views

Find the number of real roots of the equation $x^5 − x^4 + x^3 − 4x^2 − 12x = 0$

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asked Feb 7 in Mathematics by Teddy Bronze Status (5,952 points) | 22 views

What do you need to know in order to use the midpoint theorem?

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asked Jan 3 in Mathematics by ♦MathsGee Diamond (66,722 points) | 14 views

What is the other name for a reciprocal?

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asked Dec 2, 2020 in Data Science by ♦Pieter Bronze Status (6,969 points) | 31 views

What are the two schemes of propensity score weighting?

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asked Dec 2, 2020 in Data Science by ♦Pieter Bronze Status (6,969 points) | 23 views

What is propensity score matching?

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asked Dec 2, 2020 in Data Science by ♦Pieter Bronze Status (6,969 points) | 34 views

What is the propensity score analysis procedure?

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asked Dec 2, 2020 in Data Science by ♦Pieter Bronze Status (6,969 points) | 47 views

What are the properties of a propensity score?

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asked Nov 14, 2020 in Data Science by Edzai Zvobwo Bronze Status (7,980 points) | 23 views

What is the graphical intuition for how inverse probability weighting deals with confounding?

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asked Nov 14, 2020 in Data Science by Edzai Zvobwo Bronze Status (7,980 points) | 30 views

When using Inverse Propensity Score Weighting, what happens if the estimated propensity score for some unit is 1 or 0?

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asked Nov 14, 2020 in Data Science by Edzai Zvobwo Bronze Status (7,980 points) | 33 views

What is the Propensity Score Theorem?

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asked Aug 20, 2020 in Mathematics by ♦Joshua Mwanza Diamond (42,934 points) | 49 views

In triangle PQR , QR is extended to S.

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asked Aug 17, 2020 in Mathematics by ♦MathsGee Diamond (66,722 points) | 41 views

For the function $f(x) = 2x^2 −5x$, determine the gradient of the tangent to the curve at the point $x = 6$.

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