# UMEUGO EMMANUEL EBUKA

# UMEUGO EMMANUEL EBUKA

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(1). Simplify 3√45 – 12√5 + 16√20(A) 29√5 (B) 14√15 (C) 12√15 (D) 11√5Solution:-Using CASIO fx-991MS calculator[ON] [3] [√] [4] [5] [-] [1] [2] [√] [5] [+] [1] [6] [√] [2] [0] [=] (64.84597135)If option A,B,C,D gives 64.84597135 it is correct but if it doesn’t it is wrongChecking option (A) 29√5[AC] [2] [9] [√] [5] [=] (

GROUPED DATA (1). The table shows the weekly profit in naira from a mini market Weekly(profit) 1, 10, 11, 20, 21, 30, 31, 40, 41, 50, 51, 60 - - - - - - - - - - - - frequency 6, 6, 12, 11, 10, 5 Find the mean (x) (A) 30.1 (B)31.0 (C) 31.1 (D) 31.2 Find the variance (A) 220.64 (B) 220.62 (C) 198.64 (D) 221.64 Find the standard deviation (A) 14.85 (B

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INDICES (1). Simplify 125^-1/3 × 49^-1/2 × 10^0 (A) 350 (B) 35 (C) 1/ 35 (D) 1 /350 Solution :-Using “CASIO fx -991MS /570MS ” When raising a negative fraction to the power put brackets to avoid errors when using the calculator i.e. 125(-1/3) except it is a positive whole number [ON] [1] [2] [5] [^] [(] [(-)] [1] [a b /c] [3] [)] [X] [4] [9]

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(1). Solve the equation 9^8 ÷ 9^5 (a). 9^3 (b). 9^2 (c). 9^5 (NB: ^ is raise to power, ◼/◻ is fraction symbol, × is multiplication sign ) Solution Using Casio fx991es [ON] [9] [HEX] [8] [➡] [÷] [9] [HEX] [5] [=] Answer gives 729 and if any option gives 729 it is correct. Checking Option A Solution Using Casio fx991es [ON] [9] [HEX] [3] [=]

SIMULTANEOUS EQUATION1. Solve the following simultaneous equation2x + 5y = 6½5x – 2y = 9(A)2, ½ (B)2, 3 (C) ½ ,3 (D)-2, ½Solution Using Casio fx-991MS[ON] [MODE] [MODE] [MODE] [1] [2] contd2x + 5y = 6½ a1 + b1 = c15x – 2y = 9 a2 + b2 = C2Where a1=2, b1=5, c1=6½, a2=5, b2=-2 c2=9Contd [2] [=] [5] [=] [6] [a b /c] [1] [a b /c] [2] [=] [(-)]

OR GATE (1). Find the output of the OR gate when the inputs are A= 1100 B= 1010 (a). 1110 (b). 0101 (c). 10011 Solution Using Casio fx991es [ON] [MODE] [4] [LOG] [1] [1] [0] [0] [SHIFT] [3] [2] [1] [0] [1] [0] [=] Therefore Option A is correct. AND GATE (2). Find the output of the AND GATE when the inputs are A= 1100 B= 1010 (a). 1000 (b). 1100 (c)

How to Solve Permutation and Combination Using Casio fx991es

(1). Evaluate 5P3 (a). 60 (b). 30 (c). 20 Solution Using Casio fx991es [ON] [5] [SHIFT] [nPr] [3] [=] Therefore Option A is correct. (2). Evaluate 5P3 + 6P2 (a). 90 (b). 40 (c). 20 Solution Use Casio fx991es [ON] [5] [SHIFT] [nPr] [3] [+] [6] [SHIFT] [nPr] [2] [=] Therefore Option A is correct. (3). If nP2 = 30 find n (a). 6 (b). 3 (c). 2 In this c

Addition of Complex Number (1). Simplify the complex number (7 + 5i) + (3 - 2i) (a). 10 + 3i (b). 9 + 5i (c). 6 + 3i Solution Using Casio fx991es [ON] [MODE] [2] [(] [7] [+] [5] [i] [)] [+] [(] [3] [-] [2] [i] [=] Therefore Option A is correct. (2). Express in a+bi form the complex number Z1 + Z2, If Z1 = (7 + 2i) and Z2 = (3 - 2i) (a). 10 (b). 5 (