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Math & Stats Exercise Solutions: Add, Sub, Mult, Div, Rectangles, Equations - Prof. Asatar, Study notes of Statistics

Solutions to various math and statistics exercises involving addition, subtraction, multiplication, division, rectangles, and equations. Topics include calculating sums, simplifying expressions, determining the height of rectangles, and solving for variables. Suitable for students in introductory math and statistics courses.

Typology: Study notes

Pre 2010

Uploaded on 08/17/2009

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Exercise 1: Math review
1. Calculate 4 + 3 + 6 . 4 =
2. Suppose a = - 6, b = 3, and c = - 4.
a+b
c=
3. A rectangle has a width of 0.4 and area of 20. What is the height of the rectan-
gle?
4. Suppose you know that: A < B < C. Is it true that -A > -B > -C? (Circle one)
Yes No It depends
5. Suppose you know that the variables X and Y are related as shown in the follow-
ing table:
X
2
4
5
8
Y
22
18
16
10
In the graph space, label and scale the axes in an appropriate way, and then graph the
relationship between X and Y.
Econ 5: Introductory Statistics!Name_______________________________
Asatar Bair, abair@ccsf.edu
In-class Exercises!Course website: http://fog.ccsf.edu/~abair
pf3
pf4
pf5

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Exercise 1: Math review

1. Calculate 4 + 3 + 6.^ 4 =

  1. Suppose a = - 6, b = 3, and c = - 4.

a + b

c

  1. A rectangle has a width of 0.4 and area of 20. What is the height of the rectan-

gle?

  1. Suppose you know that: A < B < C. Is it true that -A > -B > -C? (Circle one)

Yes No It depends

  1. Suppose you know that the variables X and Y are related as shown in the follow-

ing table:

X 2 4 5 8

Y 22 18 16 10

In the graph space, label and scale the axes in an appropriate way, and then graph the

relationship between X and Y.

Asatar Bair, abair@ccsf.edu

  1. Suppose you know that

X =

B − 10

(^30) and that X = 3; B =?

  1. Suppose A = 12, B = 5 and C = - 5.2; A + 6B – C =
  2. Suppose a job takes 270 minutes to perform. How many hours does it take?
  3. Calculate (leave your answer as a fraction):
  1. Calculate:
  1. Calculate:
  1. Suppose A, B, C and D are all numbers and that neither B nor D are zero. Is the

following equation true?

A

B

C

D

AC

BD

(Circle one)

Yes No It depends

  1. Solve for x. a = 19, b = -3, c = 10.

a + b

c

x

Asatar Bair, abair@ccsf.edu

X =

B − 10

B − 10

B − 10

90 = B − 10

10 + 90 = B − 10 + 10

100 = B

  1. Suppose A = 12, B = 5 and C = - 5.2;

A + 6B – C = 12 + (6)(5) - (-5.2) = 12 + 30 + 5.2 = 47.

  1. Suppose a job takes 270 minutes to perform. How many hours does it take?

270/60 = 4.5 hours

  1. Calculate (leave your answer as a faction):

 =^

  1. Calculate:
  1. Calculate:

= 1.167 or

 =^

  1. Suppose A, B, C and D are all numbers and that neither B nor D are zero. Is the fol-

lowing equation true?

Yes.

A

B

C

D

AC

BD

say that A = 2 , B = 3 , C = 4, D = − 5

A

B

C

D

Asatar Bair, abair@ccsf.edu

a + b

c

x

x

16

10

x

(^ x )

x

( x )

16 x

10

(^10 )

16 x

10

16 x = 10

x =

x

2

2

x =

Asatar Bair, abair@ccsf.edu