Questions in Grade High-school

Questions in Grade High-school

[Done] 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.

[Done] 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.

[Done] To make GitHub Copilot understand the existing code snippet—the methods, variables, etc.—the names should: Select one: A. All of the listed options B. Use proper naming conventions C. Add inline comments D. Have relevance to the usage

[Done] An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

[Done] Fill in the blank space. 1. The different shapes of the moon are called ___ 2. There are _ phases of the moon. 3. The moon sets in _ direction. 4. When the dark side of the moon is getting bigger we call it _ 5. ___ hemisphere is between the North Pole and equator.

[Done] Rearrange these sets of words correctly. rug a big colourful rectangular bright pink round peaches intelligent lady Asian a young tiny kitten cute a fluffy a new wonderful restaurant Italian

[Done] Match the characters from the left column with their correct descriptions from the right column. | Left | Right | |------------|------------------------| | A. Malcolm | (i) Brother of Malcolm | | B. Donalbain | (ii) Husband of Lady Macbeth | | C. Fleance | (iii) Son of Banquo | | D. Macbeth | (iv) Son of Duncan | Options: (a) A.-(iii), B.-(ii), C.-(i), D.-(iv) (b) A.-(iv), B.-(i), C.-(iii), D.-(ii) (c) A.-(ii), B.-(iii), C.-(iv), D.-(i) (d) A.-(iv), B.-(ii), C.-(iii), D.-(i)

[Done] Which statement best describes how the environment influences the traits of an individual? A. The environment influences the gene expression which can change the genotype. B. The environment influences the gene expression which can change the phenotype. C. The environment influences only external factors. D. The environment influences only internal factors.

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

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