| Topic | Problem | Solution |
|---|---|---|
| None | $\sin ^{2}(x)+\sin (x)-1=0$ | Given the equation \(\sin ^{2}(x)+\sin (x)-1=0\), this is a quadratic equation in terms of \(\sin(x… |
| None | The table gives methane gas emissions in millions… | Given the quadratic model \(y=0.0429 x^{2}-9.73 x+703\), where \(x\) represents the number of years… |
| None | What is the factored form of $x^{2}+4 x y-21 y^{2… | Factor the given expression: $x^{2}+4 x y-21 y^{2}$ |
| None | The histogram shows the distribution of hurricane… | Given the values and their corresponding probabilities, we can calculate the mean, variance, and st… |
| None | What is $\left(7 x^{2}-4\right)+\left(6 x^{3}-4 x… | Combine the given expressions: \(\left(7 x^{2}-4\right)+\left(6 x^{3}-4 x-4 x^{4}\right)\) |
| None | The difference of the squares of two positive con… | We are given that the difference of the squares of two consecutive even integers is 20. We can repr… |
| None | Rationalize the following denominator and simplif… | Multiply both the numerator and the denominator by the conjugate of the denominator: \( (\sqrt{3} +… |
| None | (c) $2 x^{2}-2 x-5=0$ | Solve the quadratic equation \(2x^2 - 2x - 5 = 0\) using the quadratic formula: \(x = \frac{-b \pm … |
| None | A probability experiment consists of rolling a 6-… | The problem is a probability experiment that involves rolling a 6-sided die. The event we are inter… |
| None | 1) Dans l'ensemble \( \square \) des nombres comp… | 1) Calculer le discriminant : \( \Delta = b^{2} - 4ac \) avec \( a=1 \), \( b=-2(\sqrt{2}+\sqrt{6})… |
| None | About $20 \%$ of babies born with a certain ailme… | This problem is about binomial distribution. A binomial experiment has the following properties: Th… |
| None | About $80 \%$ of babies born with a certain ailme… | This is a binomial experiment because it meets all the criteria for a binomial experiment. The expe… |
| None | A boat is 144 feet from the base of cliff. If the… | Given that the distance from the boat to the base of the cliff is 144 feet, we denote this as \(a =… |
| None | 1. Chapter 12. Repulation mean (20 points) The ar… | a. Define \( A \) as the \( 95 \% \) confidence interval for the population mean number of credit c… |
| None | Exercice 2: a) Etudier l'holomorphisme des foncti… | Pour la fonction 1 : \( f(z) = e^z \), écrire \(f(z)=u(x,y)+iv(x,y)\) et appliquer les conditions d… |
| None | \( 3 x+7 x+2=22+5 x \) | \(3x + 7x + 2 = 22 + 5x\) |
| None | \( 5 y / 4-1 / 4=7 y / 8 \) | \( 5y/4 - 1/4 - 7y/8 = 0 \) |
| None | $\sin (4 x) \cos (2 x)$ | Given the trigonometric expression \(\sin (4 x) \cos (2 x)\). |
| None | Use the probability distribution to complete part… | The probability distribution of the number of televisions per household in a small town is given as… |
| None | $\cos (2 x) \cos (4 x)$ | The problem is asking for the product of \(\cos (2 x)\) and \(\cos (4 x)\). This is a straightforwa… |
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