Questions in mathematics

Questions in mathematics

[Free] Which of these expressions is equal to [tex]$6+(2+3) \times 5$[/tex]? A. [tex]$(4 \times 5)+3$[/tex] B. [tex]$1+10 \times 3$[/tex] C. [tex]$9 \times 5+10$[/tex] D. [tex]$5+4 \times(5-6)$[/tex]

[Free] Find the range of values of x for which $(2x-1)^2 < (x+3)^2$ by algebraic method.

[Free] Part A: 1 (a) Calculate the mean and variance of the following probability density functions: (i) Uniform distribution: p(n) = 1/(2a), for -a < n < a, and p(n) = 0 elsewhere. (ii) Rayleigh distribution: p(n) = (n * e^{-n^2/(2a^2)}) / a^2, for n ≥ 0.

[Free] 4. Find the nth term ([tex]G_n[/tex]) of the arithmetic sequence where [tex]a_1 = 2[/tex], d = -3, and n = 10. 5. Find the sum ([tex]S_n[/tex]) of the first 6 terms of the geometric sequence where [tex]a_1 = 5[/tex] and r = 3. 6. Find the sum (S) of the first 6 terms of the geometric sequence where [tex]a_1 = 2[/tex] and r = 5.

[Free] [tex]\frac{7}{9} \times \frac{4}{28}[/tex]

[Free] Which of the following graphs could be the graph of the function [tex]f(x)=-0.08 x(x^2-11 x+1)[/tex]?

[Free] $\frac{3}{6} \times 8$

[Free] Solve the inequality and graph the solution set. [tex]x^2+13 x+42 \geq 0[/tex]

[Free] Without using technology, describe the end behavior of [tex]$f(x)=3 x^4+8 x^2-22 x+43$[/tex]. A. Down on the left, down on the right B. Down on the left, up on the right C. Up on the left, down on the right D. Up on the left, up on the right

[Free] At what meter mark will Ario be when Miguel starts the race? Round to the nearest tenth. [tex]x=\left(\frac{m}{m+n}\right)\left(x_2-x_1\right)+x_1[/tex] Miquel and his brother Ario are both standing 3 meters from one side of a 25-meter pool when they decide to race. Miguel offers Ario a head start. Miguel says he will start when the ratio of Ario's completed meters to Ario's remaining meters is [tex]$1: 4$[/tex]. A. 4.4 meters B. 7.4 meters C. 17.6 meters D. 20.6 meters