Tommy Flanagan was telling you what he ate yesterday afternoon. He tells you, "I had either popcorn or raisins. Also, if I had cucumber sandwiches, then I had soda. But I didn’t drink soda or tea." Of course you know that Tommy is the worlds worst liar, and everything he says is false. What did Tommy eat? Justify your answer by writing all of Tommy’s statements using sentence variables (P, Q, R, S, T), taking their negations, and using these to deduce what Tommy actually ate.

Answers

Answer 1

Answer:

tom ate sandwiches of cucumber and also had tea

Step-by-step explanation:

The computation is shown below:

P:I = popcorn

Q:I  = raisins

R:I = cucumber sandwiches

S:I = sodas

T:I = tea

1. It could be either popcorn or raisins

2. If i take sandwiches of cucumber so it also had soda

3. Do not drink soda or tea

Now considered the negation of 1, 2 and 3

So,

[tex]\sim (PVQ) = \sim P \wedge \sim Q\\\\\sim (R \to S) = \sim(\sim R\vee S) = R \wedge \sim S\\\\ \sim(\sim S \vee \sim T) = S \wedge T[/tex]

Now combining 4, 5 and 6

We get

[tex]\sim P \wedge \sim Q \wedge R \wedge \sim S \wedge S \wedge T\\\\\sim P \wedge \sim Q \wedge R \wedge T[/tex]

So, tom ate sandwiches of cucumber and also had tea


Related Questions

Dancing Pools sells swimming pools in 4 sizes. The small pool is 72 feet
long and 18 feet wide. The medium pool is 80 feet long and 20 feet wide. The
large pool is 88 by 22. If the new superduper Coffeetable pool is 96 feet long,
how wide will it be?

Answers

Answer:

24 feet wide

Step-by-step explanation:

72/18 = 4

80/20 = 4

88/22 = 4

Since there is one common answer between all sizes, you can make a ratio to help or you can use inverse operations.

Inverse operations is easier, so you would divide 96 by 4, and that will equal 24.

the remote areas away from the coast is​

Answers

Answer:

Pole of Inaccessibility

solve ??? If any1 can

Answers

Answer:

125

Step-by-step explanation:

180-75-50=55 180-55=125

Answer:

s=130

Step-by-step explanation:

the flat line is 180 so to find out S you have to subtract 50 from 180

hope this helps:)

Solve each equation.
Show all steps
4) -8(-6-5k)=-232

Answers

the answer is k=4.6. hope this helps

Everglades National Park is 225 mi long. What scale is needed to draw a map of Everglades National Park that is 10 in. long?


A. 1 in. = 22.5 mi

B. 10 in. = 225 mi

C. 1 in. = 0.04 mi

D. 10 in. = 22.5 mi

Answers

Answer:

A. 1 in. = 22.5 mi

Step-by-step explanation:

Since 22.5 x 10 = 225, we can conclude that this will fit the scale needed. B. is incorrect because it is simply illogical in context with a scale and the question. C. is incorrect since 10 x 0.04 is 0.4, which does not equal 10. D. is incorrect since we need the scale to add up to equal 225 mi, not 22.5.

Hope this helps!

Tom took a trip of 1,020 miles. He traveled by train at 55 miles an hour and the same number of hours by plane at 285 mph. How many hours did the trip take?

Answers

Answer:

3 hours

Step-by-step explanation:

285+55+285+55+285+55=1020

or another way

285+55×3= 1020

Last week a gamestop store sold some $43 games and some $30 games for a total of $485 . what was the total number of games sold?

Answers

Answer:

14 games

Step-by-step explanation:

  43

 X 5

 -----

$215 - 5 games

$245 - 6 games

$275 - 7 games

$305 - 8 games

$335 - 9 games

$365 - 10 games

$395 - 11 games

$425 - 12 games

$455 - 13 games

$485 - 14 games

Answer:

14 games

Step-by-step explanation:

DESPERATE HELP NEEDED!!!
MATHS!!!
WILL AWARD BRAINLIEST!!!

Answers

Answer:

a) 24

b) f^-1 = [tex]\sqrt{x+1}[/tex]

c) 3

Step-by-step explanation:

Just plug the numbers in for x:

(5)^2 -1 = 24

Switch x and y then solve for y and replace y with f^-1(x):

x = y^2 -1

sqrt(x +1) = y = f^-1(x)

Now plug in 8:

f^-1(x) = sqrt(8 +1)  = 3

Which of the following is equal to the fraction below?
(5/9)^8

Answers

(5/9)^8=5^8/9^8.
Hope I’m right I don’t really know this stuff

A famous recipe for New Orleans jambalaya calls for 1 1/4 cups of Gulf shrimp. The recipe serves 5 people. Trinetta and Agnes want to serve 12 people, so they increase all the ingredients proportionally. How much Gulf shrimp is required for the new recipe?

A. 1 2/5
B. 5/12
C. 3 cups
D. 4/5 cups
E. 7 cups​

Answers

Answer: C. 3 cups

Step-by-step explanation:

Given: In recipe for 5 people, Required Gulf shrimp = [tex]1\dfrac14[/tex] cups

Since, [tex]1\dfrac14=\dfrac{5}{4}[/tex]

Required Gulf shrimp = [tex]\dfrac54[/tex] cups

Then, for 1 people Gulf shrimp required = [tex]\dfrac{5}{4}\div 5[/tex]

[tex]=\dfrac54\times\dfrac{1}{5}[/tex]

[tex]=\dfrac14[/tex] cup

For 12 people, it is required = [tex]12\times\dfrac14 = 3\text{ cups}[/tex]

Hence, 3 cups of gulf shrimp is required for new recipe.

So, correct option is C. 3 cups

can you help me out​

Answers

Answer:

A. Multiplication of a positive number and a number greater then 1 increases the number.

Hope this help! :)

Constance will win 500 in a savings account which option should she choose so that she will have the most money

Answers

Answer:

2 years at 7%

Step-by-step explanation:

Answer:

2 years at 7 percent

Step-by-step explanation:

I got it right on the quiz, I just took it.

Hope this helps! ^^

How many pies are there if someone eats 2 and then someone else eats 4 then I eat 13? We started with 200 pies.

Answers

Answer:

183

Step-by-step explanation: 13+4=17    200-17=183

Answer:

181

Step-by-step explanation:

The mean and standard deviation of a random sample of n measurements are equal to and ​, respectively. a. Find a ​% confidence interval for if n. b. Find a ​% confidence interval for if n. c. Find the widths of the confidence intervals found in parts a and b. What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence coefficient​ fixed?

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

[tex]33.55 <  \mu < 35.5[/tex]

b

[tex]34.03 <  \mu < 34.969 [/tex]

c

Generally the width at  n =  49 is mathematically represented as

   [tex]w =  2 *  E[/tex]

    [tex]w =  2 *  0.952 [/tex]

     [tex]w =  1.904 [/tex]

Generally the width at  n =  196 is mathematically represented as

   [tex]w =  2 *  E[/tex]

    [tex]w =  2 *  0.4687 [/tex]

     [tex]w =  0.9374  [/tex]

d

The correct option is E

Step-by-step explanation:

From the question we are told  that

   The sample mean is  [tex]\= x  =  34.5[/tex]

    The standard deviation is  [tex]s =  3.4[/tex]

Generally given that the confidence level is 95% then the level of significance is  

       [tex]\alpha = (100 -  95)\%[/tex]

=>     [tex]\alpha = 0.05 [/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Considering question a

From the question  n  =  49

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{s }{\sqrt{n} }[/tex]

=>   [tex]E = 1.96*  \frac{ 3.4 }{\sqrt{49} }[/tex]

=>   [tex]E =  0.952 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  p <  \=x  +E[/tex]

      [tex]34.5 -0.952 <  p < 34.5 + 0.952[/tex]

=>    [tex]33.55 <  \mu < 35.5[/tex]

Considering question b

From the question  n  =  196

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{s }{\sqrt{n} }[/tex]

=>   [tex]E = 1.96*  \frac{ 3.4 }{\sqrt{196} }[/tex]

=>   [tex]E =  0.4687 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  p <  \=x  +E[/tex]

      [tex]34.5 -0.4687 <  p < 34.5 +0.4687[/tex]

=>   [tex]34.03 <  \mu < 34.969 [/tex]

Considering question c

Generally the width at  n =  49 is mathematically represented as

   [tex]w =  2 *  E[/tex]

    [tex]w =  2 *  0.952 [/tex]

     [tex]w =  1.904 [/tex]

Generally the width at  n =  196 is mathematically represented as

   [tex]w =  2 *  E[/tex]

    [tex]w =  2 *  0.4687 [/tex]

     [tex]w =  0.9374  [/tex]

Now when the sample size is quadrupled i.e from n = 49 to  n =  196  

The width of the  confidence interval  decrease by 2 from 1.904 to  0.9374  


Order from least to greatest:
-5/6,0.567,-0.11,-1/4

Answers

Answer:

-5/6,-1/4,-0.11,0.567

Step-by-step explanation:

(9,0) (3,-4) slope??

Answers

Answer:

2/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

formula: y2-y1/x2-x1

-4-0/3-9=

-4/-6=

2/3

-9 - 11 = 2q + 4
Solve?

Answers

Answer:

q = -12

Step-by-step explanation:

-9 - 11 can be written as -9 + (-11)

-20 = 2q + 4

Subtract 4 from both sides.

-24 = 2q

Divide both sides by 2

-12 = q

Hope I helped :)

Please consider Brainliest :)

1. which group weighed the most per item on the scale? how much did it weigh?

which group weighed the least per item on the scale? how much did it weigh?

And also complete the table.

Please help it is due right now ASAP​

Answers

Answer:

cars weighed the most per item and desks the least

If y is 20, what is x?

Answers

When y=20 , x is −5.

Answer:

Depends on the formula given

×/4=3 whats the answer​

Answers

Answer:

x=12

Step-by-step explanation:

quick maffs

Answer:

12

Step-by-step explanation:

just do 3 times 4

Alondra is training for a 5 mile race. The table below shows how many strides Alondra takes as she builds up to running 5 miles. How many strides will Alondra take to run 4 miles? Exercise Log Miles 1 2 4 5. Strides 2,640 5,280 13,200

Answers

Answer:

7920

Step-by-step explanation:

−126 = 14k
MAKE SURE TO SHOW YOUR WORK PLEASE HURRY

Answers

Answer:

k = -9

Step-by-step explanation:

When a number (coefficient) is next to a letter (variable) that means you multiply. To solve you would to the opposite, which is to divide.

-126 ÷ 14 = -9

So -9 is equal to k.

Hope that helps and have a great day!

A major airline company is concerned that its proportion of late arrivals has substantially increased in the past month. Historical data shows that on the average 18% of the company airplanes have arrived late. In a random sample of 1,240 airplanes, 310 airplanes have arrived late. If we are conducting a hypothesis test of a single proportion to determine if the proportion of late arrivals has increased, what is the correct statement of null and alternative hypotheses

Answers

Answer:

The correct statement is  

The  null hypothesis is  [tex]H_o : p = 0.18[/tex]

The alternative hypothesis is  [tex]H_a : p > 0.18[/tex]

Step-by-step explanation:

From the question we are told that

    The population proportion is  p  =  0.18  

    The  sample size is  n  =  1240 airplane

     The  number of airplane is  k  =  310

 

Generally the sample proportion is  

      [tex]\^ p = \frac{k}{n}[/tex]

=>   [tex]\^ p = \frac{310}{1240}[/tex]

=>   [tex]\^ p =0.25[/tex]

The  null hypothesis is  [tex]H_o : p = 0.18[/tex]

The alternative hypothesis is  [tex]H_a : p > 0.18[/tex]

karla sings for 45 mins for y days each week. on the other days of the week, she plays piano for 1.5 hours. Write an expression for the total number of hours kara sings and plays the piano each week.

Answers

Answer:

(10.5 - 0.75y) hours

Step-by-step explanation:

Number of days in 1 week = 7 .

Number of days in a week  Karla sings = y

Number of days Karla plays piano in a week  = Number of days in 1 week - Number of days in a week  Karla sings

Number of days Karla plays piano in a week  = 7 - y

In 1 day Karla sings for =  45 minutes

60 minutes = 1hour

45 minutes = 1/60 * 45 = 3/4 hours = 0.75 hours

In y days time for which Karla sings = y *0.75 hours= 0.75y hours

Time for which Karla plays piano in 1 day = 1.5 hours

Time  for which Karla plays piano in (7-y) day = 1.5*(7-y) hours

Total time in hours  for which karla sings and plays the piano each week

= 0.75y + 1.5*(7-y)

= 0.75 y + 10.5 - 1.5y

= 10.5 - 0.75y

Thus,  total number of hours karla sings and plays the piano each week is 10.5 - 0.75y hours

Combine like terms 17y-15y

Answers

just subtract it like normal numbers like
17-15 = 2 now just add y 17y-15y = 2y

Answer:

2y

Step-by-step explanation:

Since 17y and 15y both have a y, you can combine it. You can subtract 17-15 to get 2, so the answer is 2y.

Solve each problem. Show all your steps
(−2) ∙ (−5)

Answers

Answer:

-2 * (-5)

minus times minus is plus

ans = 10

Sandra has $32 in her purse. She $15 for a CD.Which expression represents this situation.
32+15
-32+15
-32+(-15)
32+(-15)

Answers

This is the answer -32+15
I’m understanding my the question as Sandra has $32 in her purse then spends $15 on a CD. This would mean the answer is 32 + (-15).

Your computer supply store sells two types of inkjet printers. The first, type A, costs $241 and you make a $25 profit on each one. The second, type B, costs $103 and you make an $11 profit on each one. You can order no more than 140 printers this month, and you need to make at least $2660 profit on them. If you must order at least one of each type of printer, how many of each type of printer should you order if you want to minimize your cost?

Answers

Answer:

The number of printers for type A = x = 80 printers

The number of printers for type B = y = 60 printers

Step-by-step explanation:

Let the number of printers for type A = x

Let the number of printers for type B = y

You can order no more than 140 printers this month

x + y ≤ 140

x + y = 140

x = 140 - y

Profit for type A = $25

Profit for type B = $11

You need to make at least $2660 profit

25x + 11y ≥ 2660

25x + 11y = 2660

Substitute 140 - y = x

25(140 - y ) + 11y = 2660

3500 - 25y + 11y = 2660

3500 - 2660 = 25y - 11y

840 = 14y

y = 840/14

y = 60 printers

x = 140 - y

x = 140 - 60

x = 80 printers

To minimize cost :

The number of printers for type A = x = 80 printers

The number of printers for type B = y = 60 printers

A player had scores of 284, 192, 264, and 128 at a Yahtzee tournament. What was his mean score?

Answers

Answer:

217

Step-by-step explanation:

"Mean" = averageTo find the average: add the numbers together and then divide the sum by the amount of numbers added284 + 192 + 264 + 128 = 868868 ÷ 4 = 217So, the average is 217

I hope this helps!

Answer:

217

Step-by-step explanation:

The mean or average is calculated by taking the sum or addition of the data points, and dividing by the number of data points. This is known as a sample of data because it is a subset of data.

In simple terms, add all the numbers up, and divide by the number of numbers.

Arithmetic mean of a sample:

[tex]\bar{X} =\: \frac{\sum X}{n} [/tex]

In this case the mean or average is:

Mean = 284 + 192 + 264 + 128 / 4 = 868 / 4 = 217

Gordon types 2,448 words in 36 minutes. Find the unit rate.

Answers

Answer: 68 words

Step-by-step explanation: 2448 / 36 = 68

Answer:

68 Words

Step-by-step explanation:

68 words in a minute if you divide 2448 by 36

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