Discrete MathematicsReading Worksheet 2.3Answerall questions on another sheet of paper. You do not need to print out or recopy the questions.Please skip lines and write legibly.1.a) In the following argument form, which are the premises?b) What is the conclusion?c) Construct a truth table for the premises and the conclusion. (1)푝→푞(2)푞→푟(3)∴푝→푟2.What do we call an argument form that consists of two premises and a conclusion?3.Look at the table of valid argument forms (also calledrules of inference) a)What is the name of the argumentform can be considered as reasoning from the contrapositive?b)If assuming that the negation of a statement leads to a contradiction, what can weconclude?c)What is the conclusion you can draw from the premises (푝˅푞)and ~푞?4.Explain the difference between a valid argument and a sound argument.5.It ispossible to make a valid argument with a false premise and a false conclusion. Look at the example given in the textbook. Create your own exampl
Answer:or the premises and the conclusion. (1)푝→푞(2)푞→푟(3)∴푝→푟2.What do we call an argument form that consists of two premises and a conclusion?3.Look at the table of valid argument forms (also calledrules of inference) a)What is the name of the argumentform can be considered as reasoning from the contrapositive?b)If assuming that the negation of a statement leads to a contradiction, what can weconclude?c)What is the conclusion you can draw from the premises (푝˅푞)and ~푞?4.Explain the difference between a valid argument and a sound argument.5.It ispossible to make a valid argument with a false premise and a false conclusion. Look at the example given in the
Step-by-step explanation:
In a box there are 9 action, 12 Disney, 8 horror, 11 mystery and 4 SciFi movies. What is the probability of selecting horror or mystery movie?
Round your answer to the nearest thousandth. For example: 0.500 or 0.999
======================================================
Explanation:
There are 8+11 = 19 movies that are either horror or mystery.
This is out of 9+12+8+11+4 = 44 movies total.
Divide the two sums to get 19/44 = 0.43181818181818 approximately.
This rounds to 0.432
There's roughly a 43.2% chance of picking a horror or mystery movie.
Solve each system using SUBSTITUTION. Remember to check!
2) y = –2x – 1
y = 3x – 16
Answer:
[tex]\left \{ {{x=3} \atop {y=-7}} \right.[/tex]
Step-by-step explanation:
We can directly substitute y of the first equation to the second equation.
-2x - 1 = 3x - 16
5x = 15
x = 3
Substituting back to any of the two equations, we get y = -2(3)-1 = -7. If you check with the second equation, y = 3(3)-16 = -7 as well.
Therefore [tex]\left \{ {{x=3} \atop {y=-7}} \right.[/tex].
Alia has a AED 20 gift card for an online music store. All songs at the store have the same price. After Alia buys 3 songs, the balance on the card is AED 16.25. What will be the remaining balance on the card after he buys 5 more songs
Answer:
Remaining balance = AED 13.75
Step-by-step explanation:
Given that:
Amount of gift card = AED 20
Amount left after buying 3 songs = AED 16.25
Cost of 3 songs = 20 - 16.25 = AED 3.75
Cost per song = [tex]\frac{3.75}{3}[/tex]
Cost per song = AED 1.25
Cost of 5 songs = 5(1.25) = AED 6.25
Remaining balance = 20 - 6.25 = AED 13.75
Hence,
Remaining balance = AED 13.75
anyone a J Balvin fan :)
Answer:
He Ll nah fam
Step-by-step explanation:
2(1-x) + 3x
Pls help I only have 24 minutes
Answer:
x+2
Step-by-step explanation:
Would appreciate some help thanks
Answer:
f(8) = -9
Step-by-step explanation:
Substitute 8 in for x.
f(8) = -2(8) + 7
f(8) = -16 + 7
f(8) = -9
Graph the line that passes through the points (-6,5) and (-9,9) and determine
the equation of the line.
PLEASE SOMEONE I REALLY NEED HELP THIS IS DUE TODAY!!!!!!!!!!
Carla paints 34 of the fence in 1 hour. Which rates are equivalent to Carla’s rate of painting? SELECT ALL THAT APLLY.
A) 3/10 hour to complete 2/5 of the fence
B) 4/5 hour to complete 3/5 of the fence
C) 2/3 hour to complete 1/2 of the fence
D) 9/4 hour to complete 1/3 of the fence
need help with this
Answer:
There are 3 parts yellow and when mixed with the blue, we end up 5 parts. So its 3 to 5
Step-by-step explanation:
Answer:
3:5
Step-by-step explanation:
I think that it's 3:5 because
Mixed paint:3+2=5
Yellow:3
yellow : mixed paint
3:5
A bag contains cards numbered 1-5.
There is only one card for each number in the
bag. A card is selected at random. Then a
second card is selected, without replacing the
first card. Create a list of the possible
outcomes for the card selections
I need help bad!!! Please help!
Answer:
Both Question (bottom right corner)
Step-by-step explanation:
Question 2 is obviously a variable because the amount of goals you can score in a game varies, one game it could be 10 then next it could be 5, But for question 1 the amount of work hours she puts in, (assuming she choses when to work and when not to) is also a variable because the amount she works varies from day to day.
Both these examples how data that varies from day to day.
Hope this helps!
Simplify the expression: 12x+3x+4x
Answer:
19x
Step-by-step explanation:
12+3+4=19
19x
Answer:
12x+3x+4x=19x
Step-by-step explanation:
Keiko's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee cost Keiko $4.15 per pound, and type B coffee costs $5.25 per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of $980.85. How many pounds of type A coffee were used?
Answer:
39 pounds of type A coffee were used.
Step-by-step explanation:
Let,
x be the pounds of type A coffee used
y be the pounds of type B coffee used
According to given statement;
4.15x+5.25y=980.85 Eqn 1
y = 4x Eqn 2
Putting y=4x in Eqn 1
4.15x+5.25(4x) = 980.85
4.15x+ 21x = 980.85
25.15x = 980.85
Dividing both sides by 25.15
[tex]\frac{25.15x}{25.15}=\frac{980.85}{25.15}\\x=39[/tex]
Hence,
39 pounds of type A coffee were used.
John has a rectangular field that is 12 meters by 6 meters, if he wants to divide the field into 8 sections, what would the area per section be?
Answer:
9 Meters Squared
Step-by-step explanation:
First multiply 6 by 12 to find the area of the whole field:
[tex]6*12=72[/tex]
Then divide that area by 8:
72/8=9
So:
9 meters squared
Your friend has created a dice game where the probability of winning is 0.45. If you win at least 60% in a series of n games you win the grand prize. You may choose to play a series of n = 10, 20, or 50 games. Which value of n should you choose to get the best chances of winning the grand prize?
A. n = 10
B. n = 20
C. n = 50
D. n = 10 or 20; they have the same probability
E. All three have the same probability.
Answer:
D. n = 10 or 20 they have the same probability
What is the x-coordinate of point B? Write a decimal coordinate.
ch
.
B
3
2
1 2 3 4 5 x
-5 4 3 2 1
2+
3t
PLS ANSWEE
The difference between the x-coordinate of point A and the x-coordinate of point B is -9
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that,
the point B: (14,4)
and Point A: (5,4).
The x coordinate of B is 14 while that of A is 5.
so, we get,
if the difference is x units,
then it can be expressed as equation,
x = 5 - 14
now,
The difference between the x-coordinate of point A and the x-coordinate of point B is
= 5 - 14
= -9
Hence, The difference between the x-coordinate of point A and the x-coordinate of point B is -9
Find out more on equation at:
brainly.com/question/2972832
#SPJ7
Complete question:
Point B: (14,4)Point A: (5,4)What is the difference between the x-coordinate of point A and the x-coordinate of point B?
Please help I’ll mark you as brainliest if correct
Answer:
Yes the answer is 69.08
An automobile uses 17 gal of fuel to go to 590mi. How many gallons are required to travel 870mi? (Round your answer to one decimal)
Answer:
[tex]Gallons = 27.95[/tex]
Step-by-step explanation:
Given
[tex]Gallons : Miles = 17:590[/tex]
Required
Determine the number of gallon for 870 miles
To do this, we simply substitute 870 for miles in the ratio above
So, we have:
[tex]Gallons : 870= 17:590[/tex]
Convert to fraction
[tex]\frac{Gallons}{870} = \frac{17}{590}[/tex]
Multiply through by 870
[tex]870 * \frac{Gallons}{870} = \frac{17}{590}*870[/tex]
[tex]Gallons = \frac{17}{590}*970[/tex]
[tex]Gallons = \frac{17*970}{590}[/tex]
[tex]Gallons = \frac{16490}{590}[/tex]
[tex]Gallons = 27.95[/tex]
4.012+ S equals 5.313
Answer:
S= 1.301
Step-by-step explanation:
5.313-4.012=S
The coordinates of three vertices of a square are (4, 14), (10, 14), and (4.8).
What are the coordinates of the missing vertex?
Answer:10,8
Step-by-step explanation:
Because
Answer:
10,4
Step-by-step explanation:
6-2 kites and trapezoids
Hamda and Layla get paid per project.
Hamda is paid a project fee of AED 25 plus AED 10.50 per hour.
Layla is paid a project fee of AED 18 plus AED 14.25 per hour.
Write an expression to represent how much a company will pay to hire both to work the same number of hours on a project.
Show your steps
Answer:
[tex]Company: 43 + 24.75h[/tex]
Step-by-step explanation:
Given
Hamda:
[tex]Project\ Fee = 25[/tex]
[tex]Hourly\ Rate = 10.50[/tex]
Layla:
[tex]Project\ Fee = 18[/tex]
[tex]Hourly\ Rate = 14.25[/tex]
Required
Derive an expression for total pay
Represent the number of hours with h.
For Hamda and Layla, their pay for h hours is:
[tex]Pay = Project\ Fee + Hourly\ Rate * h[/tex]
For Hamda, we have:
[tex]Hamda : 25 + 10.50 * h[/tex]
[tex]Hamda : 25 + 10.50 h[/tex]
For Layla, we have:
[tex]Layla: 18 + 14.25 * h[/tex]
[tex]Layla: 18 + 14.25 h[/tex]
For h hours, the company will pay:
[tex]Company: Hamda + Layla[/tex]
[tex]Company: 25 + 10.50h + 18 + 14.25h[/tex]
Collect like terms
[tex]Company: 25 + 18 + 10.50h + 14.25h[/tex]
[tex]Company: 43 + 24.75h[/tex]
What is the next term of the arithmetic sequence? -4,-9,-14,-19,
Answer:
-24
Step-by-step explanation:
You add -5
Hope this helps you :)
4 p 2x + 3p 7x
Help please
Answer:
Hope this helps :O
Step-by-step explanation:
Help who ever. actually helps me gets brainliest.
Answer:
A, C
Step-by-step explanation:
6 boxes in 1/2 hour means 12 boxes in 1 hour (there are 2 half-hours in 1 hour) so multiply 6 by 2
dividing 6 by 1/2 is the same as multiplying 6 by 2
Help me answer, please.
what is the inverse of the relation
Tina is ordering pizza for a party.Peats pizza is offering a special of 4 pizza for $26. Pizza palace is selling 10 pizza for $75. If Tina need to order 40 pizza, should she order 10 orders of the 4-pizza deal or 4 orders of the 10-pizza deal?
Answer:
She should order 10 orders of the 4-pizza deal from Peat's Pizza
Step-by-step explanation:
Peat's Pizza deal:
4 x 10 = 40 | 26 x 10 = 260 | so if you choose the Peat's Pizza deal then Tina would have to pay $260.
Pizza Palace deal:
10 x 4 = 40 | 75 x 4 = 300 | so if you choose the Pizza Palace deal then Tina would have to pay $300.
Hope this helps :D
i hate math whats 5 + 5