|8.75 [pic] 10[pic] |c. |8.75 [pic] 10[pic] | |b. |8.75 [pic] 10[pic] |d. |8.75 [pic] 10[pic] | ____ 4. What is the result of adding 2.5 [pic] 10[pic] and 3.5 [pic] 10[pic]?
c. Find the coordinates of the foci. d. Graph the ellipse. Label the center and foci. Answer: a) Given equation of ellipse. On comparing this equation with standard equation of ellipse with centre (h,k) which is given by x-h2a2+y-k2b2=1 , we have , h = 3 and k = -5.
Triangles EFG and QRS are similar. The length of the sides of EFG are 144, 128, and 112. The length of the smallest side of QRS is 280, what is the length of the longest side of QRS? (draw a diagram and solve) 4. A 40-foot flagpole casts a 25-foot shadow.
7 - 10. Write a composition of about 150 words and show therein that you understand the practical use of the rules of grammar. Arithmetic (Time,1 hour 15 minutes) 1. Name and define the Fundamental Rules of Arithmetic. 2.
a) 3x + 2y = 4 and x – 5y = 7 b) 3x – 5y = –11 and 5x + y = 19 3. Find the equation of the line parallel to 4x + y = 5 and passing through the point ( 8 , – 1 ) Find the equation of the line containing ( – 2 , 5 ) and perpendicular to the line containing the points ( 2 , 8 ) and ( 5 , – 1 ). Find an equation of the line perpendicular to the line 6x – 2y = – 5 and containing the point ( – 1 , – 2 ). 4. 5.
Solve for x: x = 5 4. Simplify: = -3 5. – 36 6. Simplify:= 34 7. Simplify: = 8.
(C) – Character set. 7. (D) – The binary equivalent of decimal 123456789. 8. (A) – An actuator arm.
{ b = 2 + a } b) Multiplies b by 4 and stores the result in a. { a = b * 4} c) Divides a by 3.14 and stores the result in b. { b = a MOD 3.14 } d) Subtracts 8 from b and stores the result in a { a = 8 – b } 4. Assume the variables result, w, x, y and z are all integers, and that w=5, x=4, y=8 and z=2. What value will be stored in result in each of the following statements?
(TCO 5) Given a Poisson distribution with mean = 2. Find P(X < 5). (Points : 3) 0.036 0.947 0.983 0.017 9. (TCO 5) Given the random variable X = {5, 6} with P(5) = 0.2 and P(6) = 0.8. Find E(X).