Questions in mathematics

Questions in mathematics

📝 Answered - What is the value of [tex]S_4[/tex] for [tex]\sum_{n=1}^{\infty} 4\left(\frac{1}{4}\right)^{n-1}[/tex] ? A. [tex]5 \frac{5}{64}[/tex] B. [tex]5 \frac{1}{4}[/tex] C. [tex]5 \frac{5}{16}[/tex] D. [tex]5 \frac{5}{6}[/tex]

📝 Answered - In the following probability distribution, the random variable X represents the number of marriages an individual aged 15 years or older has been involved in. Complete parts (a) through (f). x & 0 & 1 & 2 & 3 & 4 & 5 \ \hline $P ( x )$ & 0.291 & 0.521 & 0.148 & 0.033 & 0.005 & 0.002 (c) Compute and interpret the mean of the random variable X. The mean is 0.946 marriages. (Type an integer or a decimal. Do not round.) Which of the following interpretations of the mean is correct? A. As the number of experiments increases, the mean of the observations will approach the mean of the random variable. B. The observed value of an experiment will be equal to the mean of the random variable in most experiments. C. As the number of experiments decreases, the mean of the observations will approach the mean of the random variable. D. The observed value of an experiment will be less than the mean of the random variable in most experiments. (d) Compute the standard deviation of the random variable X. The standard deviation is $\square$ marriages. (Round to one decimal place as needed.)

📝 Answered - Solve the system of equations: [tex] \begin{array}{l} y=6 x+13 \\ y=2 x+1 \end{array} [/tex] A. (5,3) B. (-3,-5) C. (3,-5) D. No solution

📝 Answered - What is the equation of the line that is parallel to the line $y-1=4(x+3)$ and passes through the point $(4,32)$? A. $y=\frac{1}{4} x+33$ B. $y=-\frac{1}{4} x+36$ C. $y=4 x-16$ D. $y=4 x+16$

📝 Answered - How many milliseconds are in 0.329 seconds? 0.329 s = [?] ms Give your answer in standard form.

📝 Answered - Divide $\frac{x^2+6 x+8}{x^2+3 x-10} \div \frac{x^2+3 x-4}{x^2+2 x-15}$. Completely simplify your answer and state any restrictions on the variable. A. $\frac{x^2-x-6}{x^2+3 x+2}, x \neq-5, x \neq-4, x \neq 1, x \neq 2$ B. $\frac{x^2-x-6}{x^2-3 x+2}, x \neq-5, x \neq-4, x \neq 1, x \neq 2$ C. $\frac{x^2+x-6}{x^2-3 x+2}, x \neq-5, x \neq-4, x \neq 1, x \neq 2$ D. $\frac{x^2-x+6}{x^2+3 x+2}, x \neq-5, x \neq-4, x \neq 1, x \neq 2

📝 Answered - $\frac{9}{6 m}_{6 m}^{9 c m} 3 m$

📝 Answered - Write an equation of a line that passes through $(1.4,-3)$ and is perpendicular to the line that passes through $(-3,4)$ and $(8,5)$.

📝 Answered - Mr. Scott rented a bicycle for 6 hours on Saturday and then several more hours on Sunday. It cost $4 per hour to rent the bicycle, and he paid a total of $48. For how many hours did Mr. Scott rent the bicycle on Sunday? Choose two answers: one for the equation that models this situation and one for the correct answer. A. Answer: 6 hours B. Equation: [tex]4(6+x)=48[/tex] C. Answer: 4 hours D. Equation: [tex]6(4+x)=48[/tex]

📝 Answered - A solid cylinder has a volume of 25π cm3. Determine its least possible surface area. (a) 105.1 cm2 (b) 101.5 cm2 (c) 101.5 m2 (d) 105.1 m2