notes for math

Question 1

|x|=a, then x=

Answer 1

a or -a

Question 2

|x|<a></a>

Answer 2

-a

Question 3

|x|>a, then

Answer 3

x>a or x

Question 4

when a linear inequality is expressed in slope intercept form and the inequality is < or <= then the region is… th opposite is true

Answer 4

below the line

Question 5

a number or expression under a radical is referred to as a

Answer 5

radicand

Question 6

if the denominator is a binomial, use the … of the denominator to rationalize

Answer 6

conjugate

Question 7

the exterior angle of a triangle will be equal to the

Answer 7

sum of the other two (non-adjacent) angles of the triangle

Question 8

the perpendicular bisector of a chord passes through the

Answer 8

center of a circle

Question 9

congruent chords have congruent .. and vice versa

Answer 9

arcs

Question 10

arcs between parallel chords are

Answer 10

congruent

Question 11

arc length in radians:

Answer 11

s=theta*r

Question 12

arc length in degrees

Answer 12

s= theta/180 pir

Question 13

area of a sector in radians

Answer 13

A=1/2rs

Question 14

area of a sector in degrees

Answer 14

A=theta/360 pir^2

Question 15

sinx= (in terms of cos)

Answer 15

cos(90° -x)

Question 16

cosx= (in terms of sin)

Answer 16

sin(90°-x)

Question 17

number of elements in a group=

Answer 17

total number of elements x proportion of elements in a group

Question 18

confidence intervals describe the …. of the sampling method in terms of an interval

Answer 18

accuracy

Question 19

the smaller the confidence interval at a given confidence level, the more

Answer 19

accurate the sampling method

Question 20

confidence interval=

Answer 20

sample statistic +- margin of error

Question 21

margins of error reflect the confidence level: the higher the confidence level, the

Answer 21

smaller the margin of error

Question 22

the greater the standard deviation, the greater the

Answer 22

margin of error

Question 23

if event a and b are mutually exclussive (the fulfillment of one event excludes the possibility of the other), then the probability is

Answer 23

P(A or B)= P(A) + P(B)

Question 24

for any two independent events a and b, the prob is

Answer 24

P(A and B)= P(A) * P(B)

Question 25

dependent event prob

Answer 25

P(A and B)= P(A) * P(B|A)

Question 26

amount of work completed=

Answer 26

rate of work * time word

Question 27

worker A completes ... of the ob per hour and worker B completes .... of the job per hour; total time to complete =

Answer 27

1/x; 1/y; 1/ (1/x + 1/y)

Question 28

percent change=

Answer 28

amount of change/original amount * 100%

Question 29

concentration of A=

Answer 29

amount of substance A/ amount of substance B

Question 30

to get the decimal/percent of a multiple of 1/10, 1/5, 1/4, 1/3, 1/2, or 3/4, take the fraction with the corresponding denominator, convert to a decimal, and

Answer 30

multiply by the numerator of the desired fraction get its decimal equivalent

Question 31

area of a parallelogram:

Answer 31

A=bh

Question 32

if you have two racios, a:b and b:c, you can derive a:c by finding a

Answer 32

common multiple of the b terms

Question 33

linear model: y=

Answer 33

kx +x0

Question 34

exponential equation:

Answer 34

y= a(1 + r)^x

Question 35

when you have a group of evenly spaced terms, the mean and median will be

Answer 35

identical

Question 36

you can find the mean of a group of evenly spaced terms by taking the

Answer 36

mean of the highest and lowest terms

Question 37

... total cards in a deck

Answer 37

52

Question 38

(ab)^c =

Answer 38

a^c * b^c

Question 39

alternate interior angles and alternate exterior angles are

Answer 39

equal

Question 40

ratio of 45-45-90 is

Answer 40

x:x:xroot2

Question 41

ratio of 30-60-90 is

Answer 41

x: xroot3: 2x

Question 42

right square pyramid volume

Answer 42

1/3 * l * w * h

Question 43

right cone volume

Answer 43

1/3 (pi*r^2)*h

Question 44

sphere volume

Answer 44

4/3 * pi * r^3

Question 45

i^2

Answer 45

-1

Question 46

i^3

Answer 46

-i

Question 47

i^4

Answer 47

1

Question 48

sin^2x + cos^2x=

Answer 48

1

Question 49

pythagorean triplets:

Answer 49

7-24-25; 5-12-13; 3-4-5

Question 50

correlations do not prove

Answer 50

causation

Question 51

questions about breaking even involve

Answer 51

systems of equations

Question 52

when comparing two data sets for consistency, consider both the

Answer 52

data center (mean/median)P and the spread(standard deviation/range)

Question 53

the inverse of raising a quantity to the 5/2 power is raising t to the

Answer 53

2/5 power