Sets & Venn Diagrams
Truth Tables & Statements
TVM Solver
Linear Equations
Probability & Statistics
100
Given the following sets
A= {-5, -3, 0, 3, 5} and B={-3, 0, 2, 5, 7}
Write AnnB
AnnB={-3, 0, 5}
100
Complete the following truth table and write the solution
Solution: TFFF
100
Find the final amount of money in an account if $1300 is deposited at 5.5% interest compounded quarterly (every 3 months) and the money is left for 5 years. The final amount is $______ . Round answer to 2 decimal places
$1,708.29
100
-6+5=
-1
100
A bag contains 3 gold marbles, 6 silver marbles, and 23 black marbles. You randomly select one marble from the bag. What is the probability that you select a gold marble?
P(gold marble) =
Answer:
1/12
200
Given the following sets
A={-5, 1, 2, 3, 10, 12, 25, 30} and B={-10, 3, 4, 10, 12}
Write
AuuB
AuuB={-5,1,2,3,10,12,25,30,-10,4}
200
Write the following using symbolic notation (symbols) then state the truth value:
p=Houston is in Texas q= There are 24 hours in a day
There are 24 hours in a day and Houston is not in Texas
Symbols:__________ Truth Value:_____
Symbols: q^~p Truth Value: F
200
How much would you need to deposit in an account now in order to have $6000 in the account in 10 years? Assume the account earns 4% interest compounded monthly.
$ 4,024.60
200
Find the following:
a. -52=
b. (-5)2=
a. -25
b. 25
200
Box Plot and 5 number summary
- Based on the box plot, identify the 5 number summary
Min: 5
Q1:7
Median: 10
Q3:12
Max: 13
300
Let U={2, 3, 5, 7, 11, 13, 17, 19} and A={5, 7, 11, 13}
Find A'
A'={2, 3, 17, 19}
300
For the following, determine the truth value of each premise and conclusion and then state whether it is valid and if it is sound.
300
Gus's Gas Station charges $3.16 per gallon for unleaded gasoline. Let g represent the number of gallons of gasoline purchased, and let c represent the total cost, in dollars. The following equation can be used to model this situation: c = 3.16g
What is the cost of 5.2 gallons of gasoline?$_____________
What is the cost of 10.1 gallons of gasoline?$_________________
How much gasoline can be purchased for $15? (Round answer off to the nearest hundredth.)______________ gallons
$16.43
$31.92
$4.75
300
-6x-4=4
-4/3
300
Consider the following data set: What is the five-number summary?
10, 12, 12, 12, 12, 17, 20, 23, 23, 24
Minimum:
Q1:
Median:
Q3
Maximum:
Minimum: 10
Q1:12
Median:14.5
Q3:23
Maximum: 24
400
From the following sets find
AnnB
AnnB={6,7,9,12}
400
Construct a truth table for the given logical statement
400
What lump sum should be deposited in an account that will earn 6% compounded semi-annual, to grow to $104,486.29 in 34 years?
The lump sum is $_______. (Round to 2 decimal places).
$14,000.00
400
46 - 3(2 • 7 - 2)=
10
400
Find the mean, median, mode, range and standard deviation for the following data set.
74, 79, 84, 87, 88, 90, 93, 93, 97, 99
Mean: 88.4
Median: 89
Mode: 93
Range: 25
Sx: 7.81
500
a) How many students are taking Math?
b) How many students are taking science and history?
c) How many students are taking Math and Science, but not History?
d) How many students are taking Math or History?
a) 29
b)21
c) 5
d) 57
500
Construct truth tables for the given logical statement
500
You deposit $400 each month into an account earning 5% interest compounded monthly.
a) How much will you have in the account in 30 years?
b) How much total money will you put into the account?
c) How much total interest will you earn? .
a) $332,903.45
b) $144,000
c) $188,903.45
500
-5(x-4)+2=11-(x-3)
x= 2
500
If you select a card at random from a standard 52 deck of cards, what is the probability of getting
a) A 5 of spades
b) A club or spade
c) A number smaller than 3 (counting the ace as a 1)
a) 1/52
b) 1/2
c) 2/13