Hello
I am starting a new course in Statistics and wanted to go over some of the basics.
I am struggling to answer the following questions -any help would be greatly appreciated!!
1. Which of the following are correct?
a) |y-3| = y+3,
b) |y-3| = y-3,
c) |y-3| = the greater of 3-y and y+3
d) |y-3| = the greater of –y+3 and -3+y
e) |y-3| = the lesser of 3-y and y+3
f) |y-3| = the lesser of –y+3 and -3+y
2. Consider the following product: 2a2´3b3. To which of the following expressions is it equivalent (there may be more than one):
a) 6a2b3
b) 5a2b3
c) 5(ab)3/a
d) 6(a2b2)2/(a2b)
3. Consider the following expression: (3a-1)2/(6ab-3/2)2. To which of the following expressions is it equivalent:
a) (-3a)2/(-6ab3/2)2
b) 4b-3
c) 4b3
d) 1/(4b3)
e) b3/(4a4)
f) 4a-4b-3
4. Find the roots of each of the following equations (i.e. find the values of x for which the equality holds):
(a) 2x + 3 = 5
(b) x2 - 5x + 6 = 0
5. Solve the pair of equations below
(in other words, find the point (x,y) that is common to the two lines)
y = x + 4
2y = 3x – 12
Any help would be appreciated!!!!
Thanks,
Louise
I am starting a new course in Statistics and wanted to go over some of the basics.
I am struggling to answer the following questions -any help would be greatly appreciated!!
1. Which of the following are correct?
a) |y-3| = y+3,
b) |y-3| = y-3,
c) |y-3| = the greater of 3-y and y+3
d) |y-3| = the greater of –y+3 and -3+y
e) |y-3| = the lesser of 3-y and y+3
f) |y-3| = the lesser of –y+3 and -3+y
2. Consider the following product: 2a2´3b3. To which of the following expressions is it equivalent (there may be more than one):
a) 6a2b3
b) 5a2b3
c) 5(ab)3/a
d) 6(a2b2)2/(a2b)
3. Consider the following expression: (3a-1)2/(6ab-3/2)2. To which of the following expressions is it equivalent:
a) (-3a)2/(-6ab3/2)2
b) 4b-3
c) 4b3
d) 1/(4b3)
e) b3/(4a4)
f) 4a-4b-3
4. Find the roots of each of the following equations (i.e. find the values of x for which the equality holds):
(a) 2x + 3 = 5
(b) x2 - 5x + 6 = 0
5. Solve the pair of equations below
(in other words, find the point (x,y) that is common to the two lines)
y = x + 4
2y = 3x – 12
Any help would be appreciated!!!!
Thanks,
Louise
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