The University of Sydney
Faculty of Economics and Business  
MathQuiz  

Substituting into a formula - Quiz 1   Last unanswered question  Question  Next unanswered question

Question 1 lion

Find the average of 100 and -60 using the formula      x1 +-x2
ˉx =    2    where  x1 = 100    and  x2 = - 60.
a) ˉx = 20.    b) xˉ= 80.
c) ˉx = - 20.    d) ˉx = 70.

 

Your answer is correct.
ˉx = 100-+-(--60)= 40 = 20.
        2        2
Not correct. Choice (b) is false.
Try again, you might have missed the negative sign and calculated ˉx = 100-+-60=  160= 80 .
       2       2
Not correct. Choice (c) is false.
Try again, you have the wrong sign for your answer.
Not correct. Choice (d) is false.
Try again, you might have only divided one of the numbers by 2 getting           60
ˉx = 100- -2 = 100- 30 = 70 .
Question 2 lion

If  a = 2, b = - 3  and c = - 4 ,  what is the value of  3a - 4b- c?
a) 3a- 4b- c = 14.    b) 3a- 4b- c = 22.
c) 3a- 4b- c = - 10.    d) 3a - 4b - c = 2.

 

Not correct. Choice (a) is false.
Try again, you may have forgotten to change a sign.
Your answer is correct.
3a - 4b - c  =3× 2 - 4 × (- 3)- (- 4)
  = 6 - (- 12)+ 4
  = 6+ 12 + 4 = 22.
Not correct. Choice (c) is false.
Try again, remember two negatives make a positive.
Not correct. Choice (d) is false.
Try again, remember 3a  means 3× a.
Question 3 lion

If  x = 5, y = - 2    and  z = 4    what is the value of  x(y- z)?
a) x(y - z) = - 30 .    b) x(y- z) = - 56.
c) x(y- z) = 10.    d) x(y- z) = - 10.

 

Your answer is correct.
x(y - z) = 5× (- 2 - 4) = 5× - 6 = - 30 .
Not correct. Choice (b) is false.
Try again, remember x(y- z) = x× (y- z).
Not correct. Choice (c) is false.
Try again, remember y - z = - 2- 4 = - 6.
Not correct. Choice (d) is false.
Try again, remember y - z = - 2 - 4 = - 6.
Question 4 lion

If  x = 485, μ = 495    and  σ2 = 25    what is the value of  z = x---μ?
     σ
a) z = 2.    b) z = 0.4 .
c) z = - 2.    d) z = - 0.4.

 

Not correct. Choice (a) is false.
Try again, carefully look at the signs.
Not correct. Choice (b) is false.
Try again, the formula uses σ  and you have probably used σ2,  look carefully at the signs as well.
Your answer is correct.
x - μ   485- 495   - 10
--σ-- = ----5----= -5--= - 2.
Not correct. Choice (d) is false.
Try again, the formula uses σ  and you have probably used σ2 .
Question 5 lion

Find  x    if     x- μ
z = -----
      σ    where  z = 1.645 , μ = 266    and  σ = 16.
a) x = 31046.82 .    b) x = 453.57.
c) x = 239.68.    d) x = 292.32.

 

Not correct. Choice (a) is false.
Try again, you have not performed the steps in the right order.
Not correct. Choice (b) is false.
Try again, you probably have the μ  and the σ  in the wrong order and have solved  x-- 16
 266  = 1.645 .
Not correct. Choice (c) is false.
Try again, you have probably mixed up some signs.
Your answer is correct.
We need to solve  x--266-
  16   = 1.645    for  x
x---266
   16  =1.645
x- 266  =1.645× 16 = 26.32
x  =26.32+ 266 = 292.32.