- 1. For each term, identify the number of trials the probability p of success the number of successes (} 10 7 b) (} 8 3 2. A class has eight students. What is the probability that exactly four of the students were born on a weekday (Monday through Friday)? 3. A hotel has four elevators One of them is a freight elevator. When pressing the button, one of the elevators randomly serves your floor.If you use the elevators seven times, what is the probability that you use the freight elevator exactly three times? . A game is played with a spinner on a circle, like the minute hand on a clock The circle is marked evenly from 1 to 90 The player spins the spinner and the resulting number is the number of seconds the player is given to solve a randomly selected mathematics problem. Suppose there are 30 students playing in the class a) What is the probability that 10 of the students received over a minute to solve the problem? b) What is the probability that exactly half of the students received 30 or less seconds? c) What is the probability that the four to tell iconve more than aminute? d) What is the probability thefage a. If ofthe students indeivetu seconds or more?
- Ecris le nombre à une seule décimale qui précède et celui qui suit chaque nombre ci-dessous. Dans chaque cas, entoure celui qui est le plus près du nombre au centre. a) underline ( )lt 58,49lt underline ( ) b) underline ( )lt -98,34lt underline ( ) d) underline ( )lt -7,869lt underline ( ) C) underline ( )lt 1,684lt underline ( )
- 24. the radius of a right circular cylinder of height 10cm increases at a rate of 3cm/min What is the rate of change of the volume of cylinder when the radius is 8cm? A. 80pi cm^3/min B 320pi cm^3/min C 480pi cm^3/min D 640pi cm^3/min 25 int (x^2-1)/(x^3)+x dx=underline ( ) A. lnvert x^2+1vert +lnvert xvert +C C. lnvert x^2+1vert -lnvert xvert +C B 1/2lnvert x^2+1vert -lnvert xvert +CD.2lnvert x^2+1vert -lnvert xvert +C 26. the area of the region bounded between the graph of y=x^2 and y=sqrt (x) is B. A. 35 1/3 C. 2/3 D. 1 27. What is the area of the region between the graph of y=x^2 and y=-x+2 for 0leqslant xleqslant 2 A. 3 B. 2 C. 3/2 D. 2/3 28. If f(x)=(x+1)/(x-1) and f(a)=5 , then f(2a)=underline ( ) A. 2 B. 4 C. 6 D. 8 29. Which one of the ff is the set of all critical numbers of f(x)=(x^3)/(3)-vert 4x-1vert A. (1)/(4),2 B -2,(1)/(4),2 C. -2,2 D. (1)/(4) 30. If a box with square base and open top is made from 1200cm^2 material, what is the largest volume of the box in cm^3? A. 4000 B. 8000 C. 15000 D. 3000 31. Which one of the ff is true about the function f defined by f(x)=x^2+e^2x A. fis decreasing for xgeqslant 0 C. f has relative minimum at x=0 B. fis increasing for xgeqslant 0 D. fhas relative maximum at x=0 32. given f(x)= ) x+1 cospi x for xlt 0 A. (1)/(2)+(1)/(pi ) B. (1)/(2)-(1)/(pi ) C (1)/(2) D. (-1)/(2) 33. If 2leqslant f'(x)leqslant 4 for all values of x,then the value of f(8)-f(2) is between which of the ff numbers? A. 14 and 24 B. 12 and 24 D. 8 and 10 C. 12 and 18 34. Which one of the ff is a convergent sequence? A. ((-1)^n)/(4) B. (4+3^n)/(5^n) C. (2-5^n)/(3^n) 35. What is the maximum value of the function f(x)=x^4-2x^2 on [-2,1] A. 40 B. 12 C. 24 D. 8 36. What is the slope of the tangent line to the graph of f(x)=3x^3+sqrt (x)+2at(1,6) A. (19)/(2) B. (17)/(5) C. (13)/(2) D. 6 37. What is the partial fraction decomposition of (x^2+x+1)/((x+2)(x^2)+1) A. (2)/(3(x+2))+(2x+1)/(3(x^2)+1) C. (2)/(5(x+2))+(3x+1)/(5(x^2)+1) B. (5)/(3(x+1))+(2x+1)/(3(x^2)+1) D. (3)/(5(x+2))+ 38. let f(x)=(3x+1)/(x-2) then what is the range of f(x) A. Rvert 3 B. R C. Rvert (-1)/(3) D. Rvert 3 39. Let f(x)=x-x^2 and g(x)=(1)/(x') then what is g(f((1)/(x))) A. x-x^2 B (1)/(x^2-x) C. (x^2)/(x-1) D. (x-1)/(x^2) 40.Let A_(n) be arithmetic sequence with ngeqslant 1 ,where a_(1)=3 and a_(n+1)=a_(n)+2 then a_(4)+a_(5)+a_(6)+ldots ldots ldots ..+a_(29)=underline ( ) A. 122 B.546 C.884 D.909 41.The sum of the first three geometric sequence is 16 and the sum the next three geometric sequence is 128 .Then what is the common ratio? A. 3 B.2 C.1 D. 7 42. Which of the following function is differentiable at a point? 43.The sum of the first 8 terms of arithmetic sequence is 104 and the sum of the next 12 terms is 636,then what is their common difference? A. 10 B. 12 C.15 D. 20 44. Let f(x)=Sgn(6-n) where n=1,2,3,ldots ldots ,th ,the function? A.6 B.5 C.4 different terms can obtain from the given
- Exercise 1.2 #49 algo What is (1)/(3)% of 1500
- How do you describe the end behaviors (the left and right branches) of an odd degree polynomial? both left and right branches are in opposite directions both left and right branches are in the same direction the degree of a polynomial does not determine the end behaviors of its graphs both left and right branches are in the direction
