| Topic | Problem | Solution |
|---|---|---|
| None | A binomial experiment has 5 trials in which $p=0.… | Calculate the probabilities for k=2, 3, 4, 5 using the binomial probability formula: \(P(X=k) = \bi… |
| None | Of 1,000 students surveyed, 530 were boys and 180… | Find the probabilities of each event and their intersection: \(P(A) = \frac{530}{1000} = 0.53\), \(… |
| None | 4. The profit $P$ (in millions of dollars) for a … | Given the profit function P(x) = -x^3 + 4x^2 + x, we need to find the value of x when P(x) = 4 and … |
| None | 1) $\lim _{x \rightarrow \infty} \frac{5 x^{2}+3 … | Divide both the numerator and the denominator by \(x^2\): \(\frac{5 + \frac{3}{x} + \frac{1}{x^2}}{… |
| None | CONSTRUCT AN ARGUMENT A student said that for $x-… | The student's claim is incorrect. Solve the equation: \(x - 7 = -15\) |
| None | - Eeste Write a real-worid problem that car hisin… | Real-World Problem: You have 12 apples and you want to give some apples to your friend so that you … |
| None | Find the coordinates of the \( y \)-intercept and… | \(x\)-intercept: \(y=0\), find \(x\) by solving \(3x+0=3\) |
| None | 19.小明和小军分别从甲、乙两地同时出发, 相向而行。若两人按原定速度前进, 则4时相遇; 若两人… | 1. Set up two equations based on the given information: \(D = 4(V_1 + V_2)\) and \(D = 3(V_1 + 1 + … |
| None | 18.小红和小强同时从家里出发相向而行。小红每分走52米, 小强每分走70米, 二人在途中的A处相… | 1. Set up two equations based on the given information: \(52t + 70t = D\) and \(52(t+4) + 90t = D\) |
| None | Write the negation of the given proposition. Then… | Original Proposition: July does not come after August. |
| None | The diameter of a circle is 10 feet. What is the … | 1. Find radius: r = \( \frac{d}{2} \) = \( \frac{10}{2} \) = 5 |
| None | Select the correct answer. The difference between… | Given the difference between two trinomials is $5x^2 + 11x - 16$. One of the trinomials is $3x^2 - … |
| None | 1. Rewrite $y=3 x^{2}-12 x-5$ in the form of $y=a… | Factor out 3 from the terms \(3x^2 - 12x\) to get \(3(x^2 - 4x)\) |
| None | 1 Calculez l'espérance mathématique de chaque dis… | First, we need to calculate the expected value for each distribution. |
| None | Given the function $g(x)=-x^{2}-9 x+24$, determin… | Given the function \(g(x)=-x^{2}-9 x+24\), determine the average rate of change of the function ove… |
| None | FMath 11, 20-2 7.4 Z-SCORE'S 1. Determine the \( … | \( z = \frac{x - \mu}{\sigma} \) |
| None | $3.6 \sqrt{3}$ | Calculate the square root of 3: \(\sqrt{3} \approx 1.732\) |
| None | Computing the Standardize Test Statistic You are … | Step 1: Calculate \(p_1\), \(p_2\), \(n_1\), and \(n_2\). Set \(p_1 = 0.1\) and \(n_1 = 180\) for m… |
| None | Note: Figures not drawn to scale. The angles show… | Given that $a=4k-22$ and $b=6k-13$, and $a+b=90$ |
| None | Hypothesis Test for the Difference in Two Proport… | Step 1 Null Hypothesis (H0): \( p_m = p_w \) Alternative Hypothesis (H1): \( p_m \neq p_w \) Thi… |
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