Translate into PROP, using the conventions.

a. Pia is guilty only if Raquel is.
b. Pia is guilty if Raquel is.
c. If Quinn or Raquel is guilty, then Pia is too.
d. If neither Pia nor Quinn is guilty, then neither Raquel nor Stan is guilty.
e. If Pia is guilty, then if Raquel is guilty then Quinn is guilty.

Answers

Answer 1

Answer:

The associated PROPS are as follows:

a:[tex]P\rightarrow R[/tex]

b: [tex]R\rightarrow P[/tex]

c:[tex](Q \vee R)\rightarrow P[/tex]

d:[tex]\sim(P \lor Q)\rightarrow \sim(R \lor S)[/tex]

e:[tex]P\rightarrow (R\rightarrow Q)[/tex]

where

P is Pia is guilty

R is Raquel is guilty

Q is Quinn is guilty

S is Stan is guilty

Step-by-step explanation:

When only if is used the conditional antecedent and consequent are interchanged thus the first one is written as such.

In addition to this, the different symbols are used such that their logical meanings are clear.


Related Questions

Solve for the missing side lengths indicated by the question mark.

Answers

Answer:

6; 40

Step-by-step explanation:

Problem 1:

Based on the triangle similarity theorem, we would have the following equation:

Let the missing side length = x

Thus:

(15 + x)/15 = 14/(14 - 4)

(15 + x)/15 = 14/10

(15 + x)/15 = 7/5

Cross multiply

5(15 + x) = 7*15

75 + 5x = 105

5x = 105 - 75

5x = 30

x = 30/5

x = 6

Missing side = 6

Problem 2:

Applying similarly theorem also, we have:

Let the missing side = x

x/(x - 25) = 24/(24 - 15)

X/(x - 25) = 24/9

x/(x - 25) = 8/3

Cross multiply

x*3 = 8(x - 25)

3x = 8x - 200

3x - 8x = -200

-5x = -200

x = -200/-5

x = 40

Missing side = 40

GIVING 100 POINTS!!!!

Answers

Answer:

As per dot plots we see the distribution of prices is close but majority of prices are concentrated in different zones. So MAD would be more similar by the look.

Let's verify

Neighborhood 1

Data

55, 55, 60, 60, 70, 80, 80, 80, 90, 120

Mean

(55*2+ 60*2+ 70+ 80*3 + 90+ 120)/10 = 75

MAD

(20*2+15*2+5+5*3+15+45)/10 = 15Neighborhood 2

Data

100, 110, 110, 110, 120, 120, 120, 140, 150, 160

Mean

(100 + 110*3+ 120*3+ 140 + 150+ 160)/10 = 124

MAD

(24+14*3+4*3+16*3+16+26+36)/10 = 20.4

As we see the means are too different (75 vs 124) than MADs (15 vs 20.4).

Answer

the image isnt very clear

Step-by-step explanation:

Attachment.

need words 20

Answers

Answer:

$2.49

Step-by-step explanation:

pasta + drink = $14.48

$11.99 + drink = $14.48

Subtract $11.99 from both sides.

drink = $14.48 - $11.99

drink = $2.49

Answer: $2.49

The cost of a school banquet is 75$ plus 15$ per person.


1- write a linear equation for the above situation

2- What do you think the slope and the y intercept is?

3- what would the inverse above mean?

4-How much would it cost is 75 people came

5- If the final bill was 630$ How many people attended

PLEASE show work!! 24 points

Answers

Answer:

The cost of a school banquet is $75+30n, where n is the number of people attending.

If 53 people are attending to visit school banquet, then you have to find the value of given expression at n=53.

At n=53, the value is $(75+30·53)=$1,665.

Step-by-step explanation:

Miss Potter wants to send thank-you cards to 132 students. The cards are sold in packages of 30. How many packages does Miss Potter need to buy?

Answers

Answer:

The answer i got it 4.4

Step-by-step explanation:

Answer:

worng it is five

Step-by-step explanation:

sorry if you got it worng because I got it worng to from that answer and it said it is five

‼️can anyone help me with the question that says "meaning of slope" PLEASE, I NEED THIS FOR TOMORROW❗


Answers

Answer: Slope is the measure of the steepness of a line. It can be calculated with the equation rise/run or change in y/change in x.

Step-by-step explanation:

It costs $90 720 to stay in a
hotel for 7 days. How much does it
cost to stay for 3 days?​

Answers

If you find the cost to stay in the hotel for one day, then you can find the cost to stay for any amount of days. (The big assumption in the question is that the cost is constant and it’s value per day doesn’t change over time)

90720/7 = $12960/day which means it costs 3 times this for three days

So the answer is $38,880

Answer:

$38 880

Step-by-step explanation:

So for 7 days it costs $90 720

First we need to find what 1 day cost

So you will divide $90 720 by 7

90 720÷7= $12 960

To find the cost for 3 days your gonna multiply $12 960 by 3

12 960×3= $38 880

NEED HELP ASAPPP PLS

Answers

Answer:

they are alternate interior angles to parallel lines.

Step-by-step explanation:

The reason for this is that they are alternate interior angles to parallel lines. The straight dotted lines that represent the line of sight of each individual are parallel to each other while the elevation line in this scenario would be considered the Transversal as it passes through both of them. This ultimately causes the angles between the transversal and the line of sight to be alternate interior angles which are equal to one another, as can be seen in the attached demonstration in the image below.

someone help me pls before i cry okay okay

Answers

Answer:

22%

Step-by-step explanation:

First, determine the total: 2392 total surveys.

Next, determine the number of people who prefer Italian: 526

Solve:

526/2392 (This is will determine the percentage of people who prefer Italian food according to the pie chart)

= 0.2198...

Round

= 22%

Answer:

I'm going to say that it is 28% or 22%

Step-by-step explanation:

so they surveyed 2392 people and only 526 of them said that they would eat Italian food so you would do

2392- 526= 1866 then 526/1866=28%

but if that is wrong then you would just do

526/2392=22%

Choose all values of the correlation coefficient, r, that indicate a strong, but not perfect, linear association between two variables.
A r=-0.85
B. r=-0.10
C. r= 0.15
D. r=0.90
E r= 1.00

Answers

Answer:

D. r = 90

A. r = -0.85

Explaination:

• r = 1 is perfect and strong.

• So r = 90 is strong but not perfect.

• Same with -0.85, but as negative.

-0.85, and 0.90 indicate a strong relationship between the two variables but not a perfect linear association between the two variables option (A) and (D) are correct.

What is correlation?

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

We have a value of correlation coefficients.

We know when the correlation coefficient r is 1 then we can say the relation between two variables is perfect and strong.

When the value of correlation coefficients lies between 0.8 to 1 the relation between two variables is said to be strong.

Similarly when the value of correlation coefficients lies between -0.8 to -1 the relation between two variables is said to be strong.

For the r = -0.85, this indicates a strong relationship but is not perfect.

For the r = -0.10 this indicates a weak relationship but is not perfect.

For the r = 0.15 this indicates a weak relationship but is not perfect.

For the r = 0.90 this indicates a strong relationship but is not perfect.

For the r = 1 this indicates a strong relationship and perfect.

Thus, -0.85, and 0.90 indicate a strong relationship between the two variables but not a perfect linear association between the two variables option (A) and (D) are correct.

Learn more about the correlation here:

brainly.com/question/11705632

can you please help me with the question below

Answers

4! hope this helps :)

Least to greatest - 1.8 , 1 , 1 2/5 , 1 9/10 , -1.25

Answers

Answer:

-1.25, 1, 1 2/5, 1.8, 1 9/10

Step-by-step explanation:

Answer:

-1.25, 1, 1 2/5, 1.8, 1 9/10

Step-by-step explanation:

The cost, C, to rent a car for d days is shown in the table. Days (d) Cost (C) 2 $105 4. $195 5 $240 6 $285​

Write an equation that represents this function

Answers

Answer:

C = 45d + 15

Step-by-step explanation:

105= (45 x 2) + 15

The equation represents the condition of the function as a linear function. Then the linear equation is C = 45d + 15.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The cost, C, to rent a car for d days is shown in the table.

Days (d) Cost (C)

  2         $105

  4         $195

  5         $240

  6         $285​

Then the linear equation of the given table will be

Let d be the number of days and C be the total cost.

[tex]\rm C - 285 = \dfrac{285-240}{6-5} (d-6)\\\\C - 285 = 45d - 270\\\\45d - C = -15 \\\\C - 45d = 15[/tex]

More about the linear system link is given below.

https://brainly.com/question/20379472

A school sold tickets to a musical. The school received $6.50 per ticket sold.
Select the ordered pairs that represent possible combinations of the number of tickets sold and the corresponding total amount of money the school would have received from selling the tickets, if this relatioship was graphed on a Coordinate Plane.

Select all that apply.
A.) 0, 0.00
B.) 2, 13.00
C.) 4, 24.00
D.) 10, 65.00
E.) 12, 68.00

No links plz

Answers

Answer:

A B D

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

hope this helps :))))

The figure below has a volume of 60 cubic units. How many more cubes will it take to fill the figure?

Answers

Answer:

55

Step-by-step explanation:

Answer:

55 cubic units

Step-by-step explanation:

you subtract 60 and the amount of cubes there are (5)

60-5=55

Construye una fórmula que permita calcular el dinero recaudado en un autobús en función de los billetes vendidos, sabiendo que cada uno cuesta 1,2 euros. Represéntala. ¿Se pueden unir los puntos?

Answers

Answer:

1.2X = $

Step-by-step explanation:

Para construir una fórmula que permita calcular el dinero recaudado en un autobús en función de los billetes vendidos, sabiendo que cada uno cuesta 1,2 euros, se debe realizar el siguiente razonamiento lógico matemático:

1.2(variable fija) x X (número de billetes vendidos) = $ (Dinero recaudado)

1.2X = $

Por lo tanto, si por ejemplo se hubiesen vendido 100 billetes, la ecuación operaría de la siguiente manera:

1.2 x 100 = $

120 = $

Simplify (6x2 - 4x + 7) - (8x2 - 2x + 5) =

Answers

-2(x^2+X-1)

This is correct

Answer:

       

−2x 2−2+2

Step-by-step explanation:

in an office building,92 offices are currently being rented. This represents 80% of the total units. How many offices are in the building?​

Answers

Answer:

Number of offices in the building = 115

Step-by-step explanation:

Let x be the total number of offices.

Then 80% x= 92 or 80/100 * x =92

Hence, x = 92*100/80 = 9200/80= 115

At which angle will the hexagon rotate so that it maps onto itself?

Answers

Answer: 180° or 120°

Answer:

60 degrees

Step-by-step explanation:

Formula is 360/n & n= number of sides the shapes have .. so 360/6 =60

Please help (no links) or i will report you i just need answers

Answers

Answer:

Both are TRUE

Step-by-step explanation:

✔️The statement, "angles 1 and 5 are corresponding angles" is TRUE.

Rationale/reason:

Angles that have corners that match are called corresponding angles. Angles 1 and 5 are angles found in the corners that match each other. Therefore, they are corresponding.

✔️The statement, "Angle 6 is congruent to angle 4" is TRUE.

Rationale/reason:

When two lines that are parallel is crossed by a transversal, the alternate interior angles formed are congruent to each other.

Angles 4 and 6 are interior angles that alternate each other along the transversal. Therefore they are congruent to each other.

Lorenzo has a package that weighs 2 pounds.
He wants to check the weight of the package on a scale, but he only has weights that are measured in ounces.
Drag the weights into the box that will balance the scale. Each weight can be used once or not at all.

Answers

1 pound = 16 ounces

2 pounds = 32 ounces

4 + 12 + 16 = 32

Use the 4, 12 and 16 ounce weights.

Answer:

Solution given:

1 pound = 16 ounces

2 pounds = 32 ounces

we have 32=4×12×16

so

the 4, 12 and 16 are ounce weights.

Use the net to find the surface area of the prism.



360 in2

480 in2

408 in2

432 in2

NO LINKS

Answers

Answer:

96 in.²

Step-by-step explanation:

Surface Area of the prism = 2(area of the 2 equal triangles) + area of rectangle A + rectangle B + rectangle C

✔️Area of the two triangles with the following dimensions:

height = 3 in.

base = 4 in.

Area = 2(½*4*3) = 12 in.²

✔️Area of rectangle A = L*W

L = 7 in

W = 5 in

Area of rectangle A = 7*5 = 35 in.²

✔️Area of rectangle B = L*W

L = 7 in

W = 4 in

Area of rectangle B = 7*4 = 28 in.²

✔️Area of rectangle C = L*W

L = 7 in

W = 3 in

Area of rectangle C = 7*3 = 21 in.²

✔️surface area of the prism = 12 + 35 + 28 + 21 = 96 in.²

Allen has a piece of wood that is 10.5 feet long. He decides to cut it into 3 equal pieces to repair his deck. How long should he cut each piece?

Answers

Answer:

3.5 feet

I think is right

The terminal side of an angle in standard position passes through P(15,-8). What is the value of sin e?

Answers

The answer is B on multiple choice

Candy and Hershel folded the same-size square papers.
Candy shaded 2/4 and Hershel shaded 1/2 . Are the fractions equivalent?

Answers

Answer:

The fractions are equivalent.

Step-by-step explanation:

2/4 can be simplifyed as 1/2 meaning they are equivalent.

Candy shaded 2/4 and Hershel shaded 1/2 represent the same amount of shaded area on their respective square papers.

To determine whether the fractions 2/4 and 1/2 are equivalent, we can simplify both fractions and compare them.

First, let's simplify the fraction 2/4:

The numerator and denominator of 2/4 have a common factor of 2. By dividing both the numerator and denominator by 2, we get:

2/4 ÷ 2/2 = 1/2

Now, let's compare the simplified fraction 1/2 to the fraction 1/2 that Hershel shaded.

Since both fractions are now 1/2, we can conclude that the fractions are indeed equivalent. Therefore, Candy shaded 2/4 and Hershel shaded 1/2 represent the same amount of shaded area on their respective square papers.

To know more about fractions here

https://brainly.com/question/30154928

#SPJ2

Mark and eight of his friends went out to
eat. They decided to split the bill evenly.
Each person paid $9. What was the total
bill?

Answers

If mark and 8 of his friends went out the total of people is 9, so if you think about it 9x9=81 so the total cost of the bill was $81
72 EXPLANTION 9+9+9+9+9+9+9+9+9=72


Which expression is equivalent to 3m(x) - 5n(x), if m(x) = 6x2 + 3x - 5 and n(x) = 2x2 + 7x - 1?

Answers

Answer:

8x^2 - 26x - 10

Step-by-step explanation:

3(6x2 + 3x - 5 ) = 18x^2 + 9 -15

5(2x2 + 7x - 1) = 10x^2 + 35 - 5

18^2 - 10x^2 = 8x^2

9x - 35x = - 26x

-15 -(-5) = -10

final answer = 8x^2 - 26x - 10

Is it True or false??

Answers

Answer:

I think it's false.

Step-by-step explanation:

Help please I’ll mark brainlist
I really needs help pls

Answers

Answer:

Step-by-step explanation:

base of 5   =  5 + 4 + 3 + 2 + 1 = 15

base of 10 =  [tex]n^{2}[/tex]/2 + n/2 = 100/2 + 10/2 = 55

formula  =   [tex]n^{2}[/tex]/2 + n/2

where n is the number of base boxes

if ABCD is dilated by a factor of 1/2, the coordinate of C' would be:​

Answers

Answer:

Hello Love! Answer: 1, 2

Step-by-step explanation:

dilating by 1/2 is just a fancy way of saying divide the coordinates by 2 so 2÷2 = 1 and 4 ÷ 2 = 2

Hope this helps! Was doing this is math this week!

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