Let s represent a false statement and let r represent a false statement. Find the truth value of the following statement.
~[~s v (~ r < s ) ]
Is the statement true or false?
True
False

Answers

Answer 1

I'll interpret the given statement as

[tex]\neg \bigg( \neg s \lor \big( \neg r \land s \big) \bigg)[/tex]

where [tex]\neg x[/tex] means "not x", [tex]\lor[/tex] means "or", and [tex]\land[/tex] means "and".

If r is false, then [tex]\neg r[/tex] is true.

s is given to be false, so [tex]\neg r\land s[/tex] (basically "true and false") is false.

If s is false, then [tex]\neg s[/tex] is true.

Then [tex]\neg s \lor \big(\neg r \land s\big)[/tex] (i.e. "true or false") is true.

Take the negation of that and you end up with a false statement.

If you intended "~r < s" to mean something like "not r is implied by s", so the original statement is actually

[tex]\neg\bigg(\neg s \lor \big(\neg r \impliedby s \big)\bigg)[/tex]

then [tex]s\implies \neg r[/tex] is true because s is false. Then [tex]\neg s \lor \big(\neg r \impliedby s\big)[/tex] is still true, so the statement still ends up being false.


Related Questions

Which two triangles are congruent? Complete the congruence statement. ​

Answers

answer:

△JKI ≅ △CED

step-by-step explanation:

like i mentioned before, they look similar and fulfill the SSS triangle theorem (this time's the theorem is different only)

The store had 520 customers this week and 780 customers last week. What is the percent of change for the 2 weeks and was it an increase or a decrease?​

Answers

It’s a 33.3333% decrease in customers

What is the value of x in the product of powers below?
6^9•6^x=6^2
0-11
0 -7
O 7
O 11

Answers

Answer:

Answer: x = -7

Step-by-step explanation:

6^9*6^x=6^2

Need Help Asap Please

Answers

Answer:

corporation C owns the most land

Step-by-step explanation:

hope it helps

Find the value of cos[cos^-1(sqrt 2/2)-n/2]

Answers

Answer:

I highly think it's D. [tex]\frac{\sqrt{2} }{2}[/tex]

Step-by-step explanation:

Select the correct answer.
Factor the polynomial below.
4.12
16
ОА.
4(x - 2)2
O B.
4(x + 2)(x - 2)
O c.
4(2 - x)2
4(2 + x)2 - x)

Answers

Answer:

B

Step-by-step explanation:

That was actually trickier than I thought it would be

I was looking for 4(x-4),   but 4(x-2)(x+2) also works

Answer:

4(x - 2)(x + 2)  (Answer B)

Step-by-step explanation:

4x^2 - 16 is the difference of two squares, a case in which there is a simple formula to remember:  a^2 - b^2 = (a - b)(a + b)

4x^2 - 16 = (2x - 4)(2x + 4)

This can be further simplified:  2(x - 2)(2)(x + 2) = 4(x - 2)(x + 2)  (Answer B)



2. The side lengths of a square measure 25.3 cm. Estimate the area of the
square.
about 25 sq. ft.
about 50 sq. ft.
about 500 sq. ft.
about 625 sq. ft

Answers

Answer:

625 sq ft.

Step-by-step explanation:

25 cm is close to 25.3 so our estimate is 25 * 25 = 625.

If U = {1,2,3,......., 15), A = {1,3,5,7,9}, B = {1,2,3,4,5,6,7}
& C = {3,6,9,12,15), find the value of (A - B)UC.​

Answers

Answer:

A-B means which is only in A not in B

Step-by-step explanation:

A-B={1,3,5,7,9}-{1,2,3,4,5,6,7}

={9}

(A-B)UC={9}U{3,6,9,12,15}

={3,6,9,12,15}

Answer:

the answer is a and b and h

thank

Evaluating probability: A particular type of mouse's weights are normally distributed, with a mean of 726 grams and a standard deviation of 23 grams. If you pick one mouse at random, find the following: (round all probabilities to four decimal places) a) What is the probability that the mouse weighs less than 722 grams

Answers

Answer:

0.4325 = 43.25% probability that the mouse weighs less than 722 grams

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 726 grams and a standard deviation of 23 grams.

This means that [tex]\mu = 726, \sigma = 23[/tex]

a) What is the probability that the mouse weighs less than 722 grams

This is the p-value of Z when X = 722. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{722 - 726}{23}[/tex]

[tex]Z = -0.17[/tex]

[tex]Z = -0.17[/tex] has a p-value of 0.4325

0.4325 = 43.25% probability that the mouse weighs less than 722 grams

solve these equations, show all your work 7x=14

Answers

Answer:

x=2

divide everything by 7. 14/7= x=2

Step-by-step explanation:

12 points help fast I need help

Answers

Answer:

False, False, True, True

Step-by-step explanation:

1

IQR'sRide A: 30 - 20 = 10Ride B: 30 - 10 = 20False, as 10 < 20

2

MediansRide A: 25Ride B: 20False, as 25 > 20

3

RangesRide A: 45 - 5 = 40Ride B: 35 - 0 = 35TRUE, as 40 > 35

4

MinimumRide A: 5Ride B: 0TRUE, as 0 < 5

A brick of marble weighs 2,268 grams and has the following dimensions:
length 25 cm, height 12 cm, and width 28 mm. What is the approximate
density of the marble? Round to the nearest tenth.
Type your numerical answer below.
density of marble = _(blank)
g
cm3

Answers

Answer:

Below in bold.

Step-by-step explanation:

Density = mass / volume

Mass = 2268 g.

Width of the brick = 28 mm = 2.8 cm.

Volume =  25 * 12 * 2.8 = 840 cm^3

So the density = 2268/840

= 2.7 g/cm^3.

Someone please help asap!!! It’s due in 45 minutes, how am I supposed to know where to shade when doing these?

Answers

Answer:

If you want to know the process on how to graph and shade, start by graphing the inequalities. Assume that the inequality signs are just =, so the equation is y=mx+b. Let's use 1) as an example. When the sign is < or >, it's a dotted line. If the sign is ≥ or ≤, it's a solid line. Once you're done graphing the inequalities, choose a random coordinate on the graph. Let's use (0,0). Now, plug in the x- and y-value into the equations. 0<-6(0)+3 and 0≤0-2. Simplify it to get 0<3 and 0≤-2. Because the inequality is true for y<-6x+3, you would shade the side of the graph that includes (0,0). Because the inequality isn't true for y≤-x-2, you would shade the side of the graph that doesn't include (0,0). The shaded parts of both inequalities should overlap somewhere and that's the area you need to officially shade.

Here's the worked example:

If you are still confused, feel free to ask! :)

Can someone please help?

Answers

Answer:

Step-by-step explanation:

1/4 < 3/8

Answer:

The third one, 1/4 < 3/8

Step-by-step explanation:

The sign < means 3/8 is bigger than 1/4

Hiiiiiii pls helppppppppp plsssss and thxxxxxx

Answers

Answer:

It's A I believe

Step-by-step explanation:

Answer:

D, 1056 Cubic inches

Step-by-step explanation:

Multiply 11x16 to get the 2-d area of it's base. after multiply by 8 to get its hieght. You have the volume of the shape with the step-down filled. To find the volume with the step down empty, divide by 4 to get the area of 1/4. then multiply by 3 to find 3/4 of the rectangular prism

{[(11×16×8)÷4]3}     <== Equation

Need help asap! Please and thank you

Answers

Answer:

D

Step-by-step explanation:

The answer is D.

(Hope this helped)

Can someone help me rnnn please??

Answers

Answer:

No, they are the same triangles

Step-by-step explanation:

They both have a side length of 3 and 5 and an angle that measures 60 degrees. The triangles are just flipped in different directions.

If they were to draw an additional triangle that would make it seem different, they could expand the angle and make it obtuse to get a triangle with 1 wide corner.

Where did paco make an error in his calculation?Explain.

Answers

Answer:

He made a mistake in step 2

Step-by-step explanation:

-3x does not equal 6 it clearly states it equals 1

A team won 5 and lost 2 of their first 7 games. The
team continued to win at this rate and won w
games in the 28-game season. Which of the
following proportions could be used to determine w?

Answers

Answer:

5/7=W/28

Step-by-step explanation

They won 5 out of 7 played games so that's their win rate. If the same team continued to do this for 28 games then they would win 20 times.

HELP ME PLEASE I WILL GIVE BRAINLIEST

Answers

Answer:

a. Koby only

Step-by-step explanation:

KOBY

[tex]\frac{w^{3}*w^{5} }{ (w^{2} )^{4}} =\frac{w^{3+5} }{w^{2*4} } =\frac{w^{8}}{w^{8} } =1[/tex]

PAULO

[tex](m^{5} )^{2}*(m^{-3} )^{3}=m^{5*2} *m^{-3*3}=m^{10}*m^{-9}=m^{10-9}=m^1=m[/tex]

A. Koby only
Solution: w8/w8 =1

I need this answer as quick as possible!

A watercolor painting is 25 inches long by 12 inches wide. Ramon makes a border around the watercolor painting by making a mat that adds 3 inches to each side of the length and the width. What is the area of the mat?

Answers

Answer:

the area of the mat = total area added minus the original area of the water color painting.

Step-by-step explanation:

length of the mat is:L = 20 in + 1 in + 1 in because 1 in  is added to each sideL = 22 inwidth of the mat is:w = 9 in + 1 in + 1inw = 11 in

Area mat = (22 in x 11 in) - ( 20 in x 9 in)

area mat = 62 sq in is the area of the mat

Type A Type B Total Batch 1 30 15 45 Batch 2 20 40 60 Batch 3 20 25 45 Total 70 80 150 The table shows the batch number and type of item for 150 items. If an item from batch 2 is selected at random, what is the probability that the item is type A? 20 40 20 60 20 70 20 150

Answers

Answer:

20/70 i think ;)

Step-by-step explanation:

becuaswew if u ad the 20, 20 , 30 it equals 70 wich is the denominator

calculate the area of this triangle

Answers

Answer:

30 cm^2

Step-by-step explanation:

x = 12 − y
2x + 3y = 29

Answers

So if these are simultaneous equations here are the steps:


Bring the variables to one side and the constants to the other side of the equal sign. Remember if you bring anything to the other side it’s sign has to change:


x + y = 12
2x + 3y = 29


Now multiply a variable on the top equation so that it will be equal with the variable on the second:

3x + 3y = 36
2x + 3y = 29


Now subtract the equations which gets you:

x = 7


So we know what the x is, now we have to substitute the x in an equation we created; we’ll go with x + y = 12:

x + y = 12

= 7 + y = 12


Now bring the variable to one side and constants to the other like we did before (remember, the sign must change if the constant or variable is moved to different sides of the equal sign):


y = 12 - 7, which would equal y = 5.


So our answer would be:

( x, y ) = ( 7, 5 )

Hope this helps have an awesome day!

5x + y = -3
x + 4y = 26

Slove this using elimnation

Answers

Answer:

x=-2 y=7

Step-by-step explanation:

Multiple -5 for the second equation to get -5x-20y=-130. Adding -5x-20y=-130 to 5x+y=-3 should get you -19y=-133. Divide both sides by -19 to get y=7. Subsitute 7 in for y for the first equation. Subtract 7 on both sides to get 5x=-10. Divide both sides by 5 to get x=-2. So, x=-2 and y=7.

The weight of oranges growing in an orchard is normally distributed with a mean weight of 5.5 oz. and a standard deviation of 1 oz. Using the empirical rule, determine what interval would represent weights of the middle 68% of all oranges from this orchard.
pleaseeee help me now, im taking a test and it's timed

Answers

The interval is (4.5, 6.5)

This is bevause 1 standard deviation contains 34% of the sample in a normal distribution, so 1 standard deviation on either side is 68% and so you +\- 1 oz from the mean.

Write the quadratic equation in standard form:
8x2=8x + 13 + 4x2

Answers

x=2=|17/2

| means square root btw

and i put / to make it a fraction

Write an equation in slope-intercept form of the line that passes through the given points.

x y
-2 2
0 2
2 2
4 2

y=













Item 10
Write an equation in slope-intercept form of the line that passes through the given points.

$x$ $y$
$-2$ $2$
0 2
$2 2
$4$ $2$
$y=$

Answers

Answer:

y=0x + 2

Step-by-step explanation:

since the y-values are all the same, the line is horizontal. Horizontal lines always fall in the form of y = the common y-value.

Need help solving this!

Answers

Answer:

A = 4πcm, 6πcm²

B = 45°, 35πcm²

C = 12m, 18.7πm or 19πm

Step-by-step explanation:

Formulas used...

Length of an arc of a sector = (¢/360)×2πr

Area of sector = (¢/360)×πr²

¢ means the angle given or used

Solve 4y^2+7y+2=0 to 2 decimal places​

Answers

Answer: There were two sloutions either y= -1/4= -0.250 or y=2

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