Which statements below represent the situation? Select three options.

Answers

Answer 1

Answer:

where is the statement

Step-by-step explanation:

its incomplete po


Related Questions

Which is equivalent to (-m)4x n2 ?

Answers

Answer:

a.) m⁴n²

Step-by-step explanation:

( -m)⁴ × n ²

A negative base raised to an even powers equals a positive.

m ⁴ × n²

multiply the terms

m⁴n²

Answer:

a.) m⁴n²

Step-by-step explanation:

yea

Which rations are equivalent to 30:20? check all that apply

Answers

Answer:

3:2, 6;4 hope this helps

Answer:

C, D

Step-by-step explanation:

If you multiply both numbers of a ratio by the same number, you get an equivalent ratio.

A.  Divide both numbers by 10

40:30 = 4:3 No

B. 10:0 No

C. Multiply both numbers by 10

3:2 = 30:20 Yes

D. Multiply both numbers by 5

6:4 = 30:20 Yes

Determine the angles of b and c . Let a =40’ if b is a compliment of a and c is a supplement of b find these measures

Answers

Answer:

b = 50°

c = 130°

Step-by-step explanation:

Two angles A and B are complementary if:

A + B = 90°

And two angles are supplementary if:

A + B = 180°

Then, we know that:

a = 40°

b is a complement of a (this means that a and b are complementary angles)

c is a supplement of b (this means that b and c are supplementary angles).

From the first statement, we have that:

b + a = 90°

Replacing the value of a we get

b + 40° = 90°

b = 90° - 40° = 50°

b = 50°

And now we can use that b and c are supplementary, then:

b + c = 180°

replacing the value of b we get:

50° + c  = 180°

c = 180° - 50° = 130°

c = 130°

Then the values we wanted are:

b = 50°

c = 130°

A quality control expert at Glotech computers wants to test their new monitors. The production manager claims they have a mean life of 82 months with a standard deviation of 7 months. If the claim is true, what is the probability that the mean monitor life would be greater than 83.8 months in a sample of 71 monitors

Answers

Answer:

0.015 = 1.5% probability that the mean monitor life would be greater than 83.8 months in a sample of 71 monitors

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean life of 82 months with a standard deviation of 7 months.

This means that [tex]\mu = 82, \sigma = 7[/tex]

Sample of 71

This means that [tex]n = 71, s = \frac{7}{\sqrt{71}}[/tex]

What is the probability that the mean monitor life would be greater than 83.8 months?

1 subtracted by the p-value of Z when X = 83.8. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{83.8 - 82}{\frac{7}{\sqrt{71}}}[/tex]

[tex]Z = 2.17[/tex]

[tex]Z = 2.17[/tex] has a p-value of 0.985.

1 - 0.985 = 0.015

0.015 = 1.5% probability that the mean monitor life would be greater than 83.8 months in a sample of 71 monitors

Help please somebody ASAP

Answers

Answer:

[tex]\frac{-2x+11}{(x-4)(x+1)}[/tex]

Step-by-step explanation:

I don't think we can factor this so we'll have to multiply to make the denominators the same

[tex]\frac{3(x+1)}{(x^2-3x-4)(x+1)}-\frac{2(x^2-3x-4)}{(x+1)(x^2-3x-4)}\\\\\frac{3x+3-(2x^2-6x-8)}{(x^2-3x-4)(x+1)}=\frac{-2x^2+9x+11}{(x^2-3x-4)(x+1)}\\-2x^2+9x+11=(x+1)(-2x+11)\\\\x^2-3x-4=(x+1)(x-4)\\\frac{(x+1)(-2x+11)}{(x+1)(x-4)(x+1)}=\frac{-2x+11}{(x-4)(x+1)}[/tex]

giving brainiest Elinor solved this problem. Is her answer correct?


8.93 times 0.15 = 4465. 4465 + 8930 = 13.395

No, Elinor should have placed the decimal point between the 1 and the 3.

No, she should have placed the decimal point between the 3 and the 9.

No, she did not align the place values in the partial products correctly.

Yes. Elinor did not make an error. giving Branniest

Answers

Yes eyeliner is did not make a error

Answer:

its a

Step-by-step explanation:

trust did test

Find the volume (in cubic feet) of a cylindrical column with a diameter of 6 feet and a height of 28 feet. (Round your answer to one decimal place.)

Answers

Answer:

[tex]791.7\:\mathrm{ft^3}[/tex]

Step-by-step explanation:

The volume of a cylinder with radius [tex]r[/tex] and height [tex]h[/tex] is given by [tex]A_{cyl}=r^2h\pi[/tex].

By definition, all radii of a circle are exactly half of all diameters of the circle. Therefore, if the diameter of the circular base of the cylinder is 6 feet, the radius of it must be [tex]6\div 2=3\text{ feet}[/tex].

Now we can substitute [tex]r=3[/tex] and [tex]h=28[/tex] into our formula [tex]A_{cyl}=r^2h\pi[/tex]:

[tex]A=3^2\cdot 28\cdot \pi,\\A=9\cdot28\cdot \pi,\\A=791.681348705\approx \boxed{791.7\:\mathrm{ft^3}}[/tex]

Please help :)

Solve 3(m-4)=33

Thanks so much :)

Answers

Answer:

3(m-4)=33

3m-12=33

3m=45

m=15

Check:

3(15-4)=33

3(11)=33

33=33

Hope This Helps!!!

Answer:

m = 15

Step-by-step explanation:

3 ( m - 4 ) = 33

Solve for m

3 ( m - 4 ) = 33

Divide both side by 3

[tex]\small \sf \frac{3(m-4)}{3} = \frac{33}{3} \\ [/tex]

m - 4 = 11

Add 4 to both side

m - 4 + 4 = 11 + 4

m = 15

9.
For a normal distribution with mean 20 and standard deviation 5, approximately what percent of
the observations will be between 5 and 35?
A. 50%
B. 68%
C. 95%
D. 99.7%

Answers

Answer: D. 99.7%

Step-by-step explanation:

Scores that lies within the first deviation(1σ) =

(20 - 5) to (20 + 5) → 15 to 25

Scores that lies within the second deviation(2σ) =

(20 - 5 - 5) to (20 + 5 + 5) → 10 to 30

Scores that lies within the third deviation(3σ) =

(20 - 5 - 5 - 5) to (20 + 5 + 5 + 5) → 5 to 35

As shown by the distribution graph below, 99.73% of the scores lies within the third deviation(3σ).

Use the tangent to find the unknown side lengths.

Answers

Answer:

4.076

Step-by-step explanation:

tan27°= |AC|/8

8*tan27°= 4.076

Use the tangent to find the unknown side lengths.

This is the answer

Ac= 4.07

Ab=8.97

Write the equation of the line with the given conditions. passing through (-1, -7) and perpendicular to the line with equation 4x + 5y = 31

Answers

Answer:

y = 5/4 x - 23/4

Step-by-step explanation:

4x + 5y = 31

5y = - 4x +31

y = -4/5 x + 31/5

⊥ slope = 5/4

-7 = 5/4 (-1) + B

-28 = -5 + 4b

-23 = 4B

b = -23/4

Xavier is testing different types of planting soil to determine which type is most effective in growing blueberry bushes. He purchases two different brands of planting soil from a local store. Xavier applies Brand A to an area of the yard that receives full sunlight and Brand B to another area of the yard that is in partial sunlight. He waters the area with Brand B daily; he waters the area with Brand A every other day. At the end of the study, Xavier concludes Brand A is more effective in growing blueberry bushes. Why is his conclusion not valid?

Answers

Answer:

He did not control for lurking variables and their impacts on the results of his experiment. Amount of sunlight and water received are two outside variables(or confounding variables) that may impact the growth of his plants and influence the results. He needs to apply the same amount of sunlight and water to each plant within a different planting soil in order to rule out the influence of those two variables and test the sole effect of the soil brand on the plant growth. Otherwise, it would be hard to determine whether his plant growth was because of the soil brand or the different amounts of sunlight and water received

Answer:

Invalid

Step-by-step explanation:

Xavier did not control variables or the impacts of the results. Confounding variable being sunlight and water received are two outside variables that can impact growth influence results. Within a different planting soil, Xavier will apply the same amount of sunlight & water to each plant to rule out the influence of those two variables. The test for sole effect on the plant with growth otherwise be determine. Is the plant growth because of the soil brand or the different amounts of sunlight and water received? This could and will impaired the results of this experiment, therefore, making it invalid.

Using the following image , find the value for x

Answers

Step-by-step explanation:

Here, two angles i.e, (x + 13)° and (4x + 2)° are forming a straight line, thus the sum of these two angles will be 180° because they are forming a linear pair.

[tex]\longrightarrow[/tex] (x + 13) + (4x + 2) = 180°

[tex]\longrightarrow[/tex] x + 13 + 4x + 2 = 180°

[tex]\longrightarrow[/tex] 5x + 15 = 180°

[tex]\longrightarrow[/tex] 5x = 180° ― 15

[tex]\longrightarrow[/tex] 5x = 165°

[tex]\longrightarrow[/tex] x = 165° ÷ 5

[tex]\longrightarrow[/tex] x = 33°

Therefore, the value of x is 33°.

Quick Check!

[tex]\longrightarrow[/tex] x + 13

[tex]\longrightarrow[/tex] (33 + 13)°

[tex]\longrightarrow[/tex] 46°

And, another angle :

[tex]\longrightarrow[/tex] (4x + 2)°

[tex]\longrightarrow[/tex] {4(33) + 2}°

[tex]\longrightarrow[/tex] (132 + 2)°

[tex]\longrightarrow[/tex] 134°

★ Sum of the angles should be 180° :

[tex]\longrightarrow[/tex] (x + 13) + (4x + 2) = 180°

[tex]\longrightarrow[/tex] 46° + 134° = 180°

[tex]\longrightarrow[/tex] 180° = 180°

L.H.S = R.H.S, hence verified!

The value of x is 33

What is an equation?

"It is  a mathematical statement which consists of equal symbol between two algebraic expressions."

What is linear pair of angles?"It is formed when two lines intersect each other at a single point. "" The angles are adjacent to each other.""The sum of angles of a linear pair is always 180° "What are supplementary angles?

"Two angles are supplementary angles if the sum of the angles is 180° "

For given question,

angle (x + 13) and angle (4x + 2) form linear pair of angles.

So, these angles are supplementary angles.

⇒ (x + 13)° + (4x + 2)° = 180°

We solve above equation to find the value of x

⇒ x + 4x + 13 + 2 = 180

⇒ 5x + 15 = 180

⇒ 5x = 165

⇒ x = 33

Therefore, the value of x is 33

Learn more about the supplementary angles here:

https://brainly.com/question/13045673

#SPJ2

Help me with this question, please!!

Answers

Answer:

4yz^2

Step-by-step Explanation:

Bond is 20 years older than Jude and 10 years older than John. If the sum of the ages of Bond,Jude and John is 90,how old is Bond?

Answers

Answer:

hey hi mate

Ur answer is

bond 40John 20Jude 30

Step-by-step explanation:

u have to think

hope u like it

plz mark it as brainliest

tiene 40 años de edad

bond 40

jude 20

joh 30

40+20+30 = 90

insert a digit in a place of each "..." to make numbers that are divisible by 6 if it is possible: 4...6

Answers

Answer:

1 There is no number that make it divisible by 6 with no decimals

2 1,4,7

Step-by-step explanation:

2 23718/6= 3953

 23748/6= 3958

 23778/6= 3963

For which equation is (4, 3) a solution?

Answers

Answer:

4 over 3

because is in side the bracket is part of inequalities

To teach computer programming to employees, many firms use on the job training. A human resources administrator wishes to review the performance of trainees on the final test of the training. The mean of the test scores is 72 with a standard deviation of 5. The distribution of test scores is approximately normal. Find the z-score for a trainee, given a score of 82.

Answers

Answer:

The z-score for the trainee is of 2.

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.

The mean of the test scores is 72 with a standard deviation of 5.

This means that [tex]\mu = 72, \sigma = 5[/tex]

Find the z-score for a trainee, given a score of 82.

This is Z when X = 82. So

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

[tex]Z = \frac{82 - 72}{5}[/tex]

[tex]Z = 2[/tex]

The z-score for the trainee is of 2.

Researchers study the relationship between interpersonal violence and health in college age women. The selected an alpha of 0.05. The researchers examined the average score on a psychological distress scale and compared the score for abused versus non abused women. A p value of 0.016 is reported. Based on this information, you know:

Answers

Answer:

There exists a relationship between interpersonal violence and health.

Step-by-step explanation:

The relationship between interpersonal violence and health :

The null hypothesis will be ; the is no relationship between interpersonal violence and health while the alternative will negate the Null ;

If no relationship exists, correlation Coefficient = 0 and if a relationship exists, then correlation Coefficient is not = 0

H0 : ρ = 0

H1 : ρ ≠ 0

α = 0.05

Reported Pvalue = 0.016

Decison region :

Reject H0 ; If Pvalue < α

Therefore, Since Pvalue < α ; we reject H0 and conclude that there exists a relationship between interpersonal violence and health.

Find the area of the rectangle shown.
914
323
323
914
The solution is

Answers

Answer: The answer is 295,222.

Step-by-step explanation: The area of a rectangle is base times height, which is 914 x 323. If you do the math correctly, you will get 295,222.

[tex] \huge\boxed{\mathfrak{Answer}}[/tex]

Length (l) = 914 units

Breadth (b) = 323 units

Area = ?

Area of a rectangle (a) = l × b ----> use this formula

[tex]a = l \times b \\ a = 914 \times 323 \\ a = 295222 \: \: sq.units[/tex]

=> The area of the rectangle is 295222 sq.units.

Sarah walks into a grocery store with no more than 20 dollars to spend and needs to buy at least 3.5 pounds of flour and at least 2 pounds of sugar. Flour is 2 dollars per pound and sugar is 1.5 dollars per pound. Let x the amount of flour purchased and y be the amount of sugar purchased? Which of the following systems of inequalities represents this situation?

Answers

Answer:

x ≥ 3.5

y ≥ 2

2x + 1.5y ≤ 20

Step-by-step explanation:

Given :

Total Amount to spend ≤ $20

Let:

Amount of flour purchased = x

Amount of sugar purchased = y

Cost :

Flour = $2 per pound

Sugar = $1.5 per pound

Pounds of :

flour to be purchased ≥ 3.5

Sugar to be purchased ≥ 2

Hence, the system of inequalities :

x ≥ 3.5

y ≥ 2

Total Cost of x + total cost of y must be less than or equal to total amount

2x + 1.5y ≤ 20

Answer: x ≥ 3.5

y ≥ 2

2x + 1.5y ≤ 20

Step-by-step explanation: To write a system of inequalities, it is important to determine the restrictions. One restriction is that Sarah wants to buy at least 3.5 pounds of flour. "At least" means that 3.5 is the smallest amount she would buy and 3.5 can be included. This is expressed as x ≥ 3.5. She also wants at least 2 pounds of sugar, so similar to the flour, this can be written as y ≥ 2. Finally, the cost can be expressed as 2x + 1.5y. This is a restriction because Sarah can spend up to $20, so 2x + 1.5y is less than or equal to $20, or 2x + 1.5y ≤ 20.

Use multiplication to solve the proportion.

y/9 = 44/54

Answers

Answer: [tex]y=7\dfrac{1}{3}[/tex].

Step-by-step explanation:

[tex]\dfrac{y}{9} =\dfrac{44}{54} \\\\y \times 54=44 \times 9\\\\54y=396\\\\54y \div 54=396 \div 54\\\\y=7\dfrac{1}{3}[/tex]

What is the value of x?

Answers

Answer:

22

Step-by-step explanation:

3x-14= 4(x-9)

3×-14= 4x-36

4x-36-3x+14=0

×-22÷0

x=22

Write in simplest form

Answers

Hopefully this is right

Answer:

(1/8x)-(5/6)

Step-by-step explanation:

-3/4x-1/3+7/8x-1/2

-6/8x-2/6+7/8x-3/6

-6/8x+7/8x-2/6-3/6

1/8x-5/6

How do I find the missing number?

Answers

Answer:

to find the missing number is all u have to do is understand the problem and silve the problem!

Step-by-step explanation:

paki brainly po

Write the sum of three odd consecutive integers if the last one is m-2

Answers

Answer:

the sum is 3m-12

Step-by-step explanation:

The nunbers are:

[tex]m-2\\m-4\\m-6\\the~sum~is:\\sum=(m-2)+(m-4)+(m-6)\\sum=m-2+m-4+m-6=m+m+m-2-4-6\\sum=3m-12[/tex]

The sum of three odd consecutive integers is 3m - 12

What are odd integers?

"These are the integers which are not divisible by 2."

For given question,

We need to find the sum of three consecutive odd integers.

Let x, x + 2, x + 4 be three consecutive odd integers.

We have been given the last one is m - 2

This means x + 4 = m - 2

So, the second odd integer would be,

x + 2 = m - 4

and the first odd integer would be,

x = m - 6

, we find the sum of the three odd consecutive integers.

⇒  (m - 6) + (m - 4) + (m - 2)

= m + m + m - 6 - 4 - 2

= 3m - (6 + 4 + 2)

= 3m - 12

Therefore, the sum of three odd consecutive integers is 3m - 12

Learn more about the odd integers here:

https://brainly.com/question/18365251

#SPJ2

In the xy-plane, line / passes through the origin and is perpendicular to the line with equation 5x - 2y = 8.
Which of the following could be an equation of line /?

Answers

Answer:

[tex]ac - bd[/tex]

Step-by-step explanation:

[tex]ac - bd [/tex]

Question 5 Multiple Choice Worth 1 points)
(01.03 MC)
Bunny Hill Ski Resort charges $35 for ski rental and $10 an hour to ski. Black Diamond Ski Resort charges $40 for ski rental and $5 an hour to ski. Create an equation to determine at what point
the cost of both ski slopes is the same.

Answers

Answer:

Bunny Hill Ski Resort:

y = 10x + 35

Diamond Ski Resort:

y = 5x + 40

Point where the cost is the same:

(1, 45)

Step-by-step explanation:

The question tells us that:

$35 and $40 are initial fees

$10 and $5 are hourly fees

This means that x and y will equal:

x = number of hours

y = total cost of ski rental after a number of hours

So we can form these 2 equations:

y = 10x + 35

y = 5x + 40

Now we are going to use System of Equations to find what point the cost of both ski slopes is the same.

Because they both equal y, we can set the equations equal to each other:

10x + 35 = 5x + 40

And we use basic algebra to solve for x:

10x + 35 = 5x + 40

(subtract 5x from both sides)

5x + 35 = 40

(subtract 35 from both sides)

5x = 5

(divide both sides by 5)

x = 1

Remember, x equals the number of hours.

That means when your rent out the skis for 1 hour, you will get the same price of $45 (you find the price by plugging in 1 into both of the equations)

Hope it helps (●'◡'●)

Steve has 12 biscuits in a tin.
There are 7 digestive and 5 chocolate biscuits.
Steve takes two biscuits at random from the tin.
Work out the probability that he chooses two different types of biscuits.

Answers

most likely to get digestive

please help please help​

Answers

Answer:

1. number line or 3

2. D

3. E and K

4. B

5. A

Brainliest please~

Other Questions
Find x so that B = 3x i +5j is perpendicular to is perpendicular to A=2i - 6j What is the equation of the following line? Who created the military districts show here? Ken Jones, an architect, organized Jones Architects on April 1, 20Y2. During the month, Jones Architects completed the following transactions: Transferred cash from a personal bank account to an account to be used for the business in exchange for Common Stock, $30,000. Purchased used automobile for $20,000, paying $4,500 cash and giving a note payable for the remainder. Paid April rent for office and workroom, $3,000. Paid cash for supplies, $1,440. Purchased office and computer equipment on account, $6,000. Paid cash for annual insurance policies on automobile and equipment, $2,000. Received cash from a client for plans delivered, $7,500. Paid cash to creditors on account, $1,740. Paid cash for miscellaneous expenses, $375. Received invoice for blueprint service, due in May, $1,000. Recorded fees earned on plans delivered, payment to be received in May, $5,200. Paid salary of assistant, $1,600. Paid cash for miscellaneous expenses, $810. Paid installment due on note payable, $240. Paid gas, oil, and repairs on automobile for April, $390.Required:Record the above transactions in T accounts. QUESTION 3Essential body fat is necessary to maintain life and reproductive functions. Therefore, alecturer from Faculty of Sport Science and Recreation conducts a research to find thedeterminants of a body fat. There are three possible predictor variables in this research which -are triceps skinfold thickness (X1), thigh circumference (X2) and mid-arm circumference (X3).The estimation results of all possible models are provided in Appendix 2.a) Write down the estimated model for this situation.(1 marks)b) Test whether the whole model is appropriate for the data. Then, using the partial F-test, test whether thigh circumference and mid-arm circumference contributessignificantly to the prediction of body fat. Use a=0.05.(9 marks) Peter's father told Peter to buy four-tenths of a pound of chili powder. Eachpackage is marked with its weight. What package should Peter buy? pls help will mark brainliest What is the solution set for |z+4|> 15 Calculate real rate if you have nominal rate is 12% and inflation rate is 7% Enter the answer in percentage format to two decimal place without the % sign -> 9.30 and not 9.3% or .093) Please answer this, I need help The angle A of a triangle ABC is 20% less than the sum of other two angles. If angle C is [tex]\frac{2}{3}[/tex] times angle B, then find the value of angle B. Select all that apply The margin of safety is: (Check all that apply.) Multiple select question. the difference between expected sales and break-even sales divided by expected sales. the amount sales can drop before the company incurs a loss. adequate if greater than 15% to 20%. always expressed as a dollar amount (not in units or percentages). the Compromise of 1850 was not easily reached. There was much opposition to it from each part of the country. It finally passed through major efforts by Henry Clay, Stephen Douglas and Daniel Webster.True or False Which type of selection is also known as diversifying selection because it tends to favor the survival of two or more different phenotypes in a heterogeneous environment Which two parts of this excerpt from Christopher Marlowes The Tragical History of Doctor Faustus bring out the theme of forbidden knowledge? CHORUS: Cut is the branch that might have grown full straight,And burned is Apollo's laurel bough,That sometime grew within this learned man.Faustus is gone; regard his hellish fall,Whose fiendful fortune may exhort the wiseOnly to wonder at unlawful things,Whose deepness doth entice such forward wits To practise more than heavenly power permits Morgan Corporation purchased a depreciable asset for $600,000 on January 1, 2018. The estimated salvage value is $60,000, and the estimated useful life is 9 years. The straight-line method is used for depreciation. In 2021, Morgan changed its estimates to a total useful life of 5 years with a salvage value of $90,000. What is 2021 depreciation expense show that 43\2^45^3 will terminate after how many places of the decimal Please help, I also need an explanation. Consider two college roommates, one who smokes and one who does not. The smoker wishes to smoke in the room, and the nonsmoker dislikes smoking in the room. Suppose the smoker would be willing to pay $500 to be allowed to smoke in the room during the semester, and the nonsmoker would be willing to pay $600 to keep the room smoke-free. What should happen in the socially optimal outcome A 250 mL sample of gas at 1.00 atm and has the temperature increased to and the volume increased to 500 mL. What is the new pressure