Introdaction to college Mathematcs Math 105

1 . Write decimal notation for 53 /1000

A . 5 .3

B . 0 .053

C . 0 .53

D . 0 .0053

Answer : The correct choice is B . As the number is divided by 1000 , the decimal notation will have 3 digits after the decimal point . Hence 53 /1000 is 0 .053

2 . Which of the following ed pairs is a solution of 2y - 5x 16

A (13 , 2

B (-2 , -3

C (-2 , 3

D (-2 , - 4

Answer : The question is in terms of a linear equation with

two variables . Ideally , the solution can be found by solving 2 linear equations involving the same variables . As only one equation is given the solution can be found by substituting the values given in each of the options in the linear equation . The answer is the set of values which satisfy the linear equation . Also , since the values in the choices are ed pairs , the first value will be x and the second value will be y . On substituting the values , it is observed that option C satisfies the equation . Substituting option C in the equation such that x -2 , y 3 , the equation becomes

2 3 - 5 (-2 16

6 - (-10 16

6 10 16 16 16 , which is true . So the correct answer is choice C

3 . Find the mean of the following numbers : 12 , 15 , 15 , 21 , and 28

A . 18 .2

B . 15

C . 14

D . 28

Answer : The mean of a set of numbers , S , is found...