In Oak Hill, Florida, 90% of all sunny days are followed by sunny days while 80% of cloudy days are followed by cloudy days. A local hotdog vendor makes, on average, $300 on sunny days and $100 on cloudy days. Assume you want to build a Markov model that you can use to answer questions b., c., d., and e. below. a. Define the states of the system and give the one-step transition probability matrix. b. If today is sunny, what is the probability it is sunny 5 days from now

Answers

Answer 1

Answer:

a)  Sunny     Cloudy

T = [  0.9        0.2  ]  Sunny

     [  0.1         0.8  ]  Cloudy

b) 0.72269

Step-by-step explanation:

Given that;

90% of all sunny days are followed by sunny days while 80% of cloudy days are followed by cloudy days;

i.e if today is sunny (90%), the next day is sunny so its 10% cloudy

and if today is cloudy (80%), the next day is cloudy so its 20% sunny

a)

Now let T be the transition probability matrix which is expressed as;

     Sunny     Cloudy

T = [  0.9        0.2  ]  Sunny

     [  0.1         0.8  ]  Cloudy

b)

If today is sunny, to find the probability that it will be sunny in 5 days from now = P^5.x where x = [ 1 ] sunny

                                     [ 0 ] cloudy

so

p^5X = P.P.P.P.P.x

P.x = [ 0.9    0.2 ] [ 1 ]  = [ 0.9 ]

        [ 0.1     0.8 ] [ 0 ]    [ 0.1 ]

(P^2).x = [ 0.9    0.2 ] [ 0.9 ]  = [ 0.83 ]

              [ 0.1     0.8 ] [ 0.1 ]      [ 0.17 ]

(P^3).x = p(p^2)x = [ 0.9    0.2 ] [ 0.83 ]  = [ 0.781 ]

                              [ 0.1     0.8 ] [ 0.17 ]      [ 0.219 ]

(P^4).x = p(p^3)x =  [ 0.9    0.2 ] [ 0.781 ]  = [ 0.7467 ]

                               [ 0.1     0.8 ] [ 0.219 ]    [ 0.2533 ]

(P^5).x = p(p^4)x =  [ 0.9    0.2 ] [ 0.7467 ]  = [ 0.72269 ]

                               [ 0.1     0.8 ] [ 0.2533 ]    [ 0.27731 ]

so (P^5).x = [ 0.72269 ] sunny

                   [ 0.27731 ]  cloudy

therefore the probability that it is sunny 5 days from is 0.72269


Related Questions

Help me asap pls I will Mark 1st answer brainiest!
On Monday 428 students are going on a trip to the zoo. If 47 students fit on each bus, how many buses are needed?

Answers

Answer:9 buses

Step-by-step explanation:

The answer is 10 busses
428 divided by 47 comes out to about 9.2 but considering it is something that you can’t round down the answer rounds up to 10

Work out the value of 6^2+3^3=

Answers

Step-by-step explanation:

(6)^2+(3)^3

36+27

63

the answer is 63.

Answer:

63

Step-by-step explanation:

Step 1:

6² + 3³   Equation

Step 2:

36 + 27    Multiply

Answer:

63   Add

PEMDAS:

1. Parenthesis

2. Exponents

3. Multiplication

4. Division

5. Addition

6. Subtraction

Hope This Helps :)

What is the measure of A, in degrees?
8
0
O A Cannot be determined
B. 120
C. 150°
D. 60

Answers

Answer:

Did this question come with a picture or something more to go off of?

Solve for p.
4 - 3p = 22

Answers

Greetings! Hope this helps!

Answer

p = -6

_____________

4 - 3p = 22

-4            -4

-3p = 18

/-3     /-3

p = -6

Have a good day!

_______________

A brainliest would help tons! :D

Write an integer to represent a 6 yard loss in football.

Answers

Answer:

-6

Step-by-step explanation:

Answer the following questions for the expression:
-5x + 3y - 72 + 10
Each question is worth 2 points, please answer each part to receive full credit.
a) How many terms does the expression have?
b) What is the constant of the expression?
c) What is the third term in the expression?
d) What is the coefficient of the second term?

Answers

a) 4
b) 72 and 10
c) 72
d) 3

A package of 3 pairs of insulated socks costs ​$19.47 What is the unit price of the pairs of socks ​?

Answers

Answer:

You're answer is 6.49 hope this helps

Answer:

the correct answer is $6.19

Step-by-step explanation:

Which expression is equivalent to 5^-2 x 5^5?

A. 25^-10
B. 5^-10
C. 5^3
D.25^3

(Look at the picture)

Answers

Answer:

C

Step-by-step explanation:

Answer:C Your gonna have to trust your gut with this one a

Which expression is equivalent to -11 - (-7)?
A. 11 + 7
B. -11 -7
C. 11 - 7
D. -11 + 7

Answers

Answer:

D. -11+7

Step-by-step explanation:

1) .   -11 - (-7)

2).    -11+7

If you are multiplying 2 negatives it becomes positive so -  (-7) equals to +7

Answer:

11+7

Step-by-step explanation:

1. Pilar and her sister Marisol live near the beach. Pilar has 80 seashells in her collection when Marisol started collecting seashells. Marisol started with zero seashells in her collection. Pilar adds 10 seashells to her collection each week for x weeks. • Marisol adds 20 seashells to her collection each week for x weeks.

(a) Write an inequality to represent the situation when the number of seashells in Marisol's collection is greater than the number of seashells in Pilar's collection

(b) Solve the inequality in part (a) for the x. Show your work and explain your answer.​

Answers

Answer:

a. 20x > 10x + 80

b.  •20x > 10x + 80

• Subtract 10x from both sides: 20x -10x > 10x + 80 - 10x

• Simplify: 10x > 80

• Divide both sides by 10:   10x/10 > 80/10

• Simplify: x > 8

Step-by-step explanation:

10x + 80 = number of seashells Pilar has.

20x = number of seashells Marisol has.  

answer for a:  20x > 10x + 80

answer for b: 20x > 10x + 80

• Subtract 10x from both sides: 20x -10x > 10x + 80 - 10x

• Simplify: 10x > 80

• Divide both sides by 10:   10x/10 > 80/10

• Simplify: x > 8

Answer:

Pilar started with 80 and adds 10 each week.

y= 10x + 80 (ten seashells • weeks + 80 she started with)

Marisol started with 0 and adds 20 each week.

y = 20x (no need to add + 0 because she started with nothing)

Inequality:

y = 10x + 80 < y = 20x

I would reccomend just plugging in numbers (for example if I put in 5 I would determine if it was too high or low then go to the next number.)

I plugged it into an online graph so I can’t show my work but the answer is 8 weeks.

Step-by-step explanation:

Simplify the following expression: 4(12x + 16)

Answers

Answer:

The given expression simplified is 48x + 64.

Step-by-step explanation:

Solving this problem entails of simplifying the expression provided. We'll use the distributive law, or the distributive property, to write the expression in the simplest form.

Distributive law states:

a(b + c) ⟶ (a × b) + (a × c)

We know that...

a = 4b = 12xc = 16

Following the rules of distributive law, we can set up the expression to match this property.

a(b + c)  ⟶  4(12x + 16)  ⟶  (4 × 12x) + (4 × 16)

The expression will now be easier to simplify. Here, the last step would be to multiply the terms within the parentheses. Remember that we cannot multiply a number by a variable. When you multiply '4' by '12x', just multiply twelve and four, and leave the variable as is.

(4 × 12x) + (4 × 16)

48x + (4 × 16)

48x + 64

Think back on what I mentioned earlier about not being able to multiply a number by a variable. The same rule applies to adding two terms, in which one is a constant and the other consists of a coefficient and variable. Our simplified expression has '48x', which is a coefficient and variable, and '64', which is a constant. This means we cannot add these two terms together.

Our expression seems to be in the simplest form because no further actions can be taken. The correct answer should be 48x + 64.

Answer:

48x+16

Step-by-step explanation:

Steven's family needs a new microwave. There is one on sale that measures 20 inches by 14 inches by 11 inches. What is the volume of the microwave?

Answers

Answer:

3,080 in³

Step-by-step explanation:

To find the volume you use the formula

Length*Width*Height= Volume

So,

14*11*20 = 3080

and you unit will be cubed because volume is cubed!

Alice, Bob, and Carmen are three recent graduates of the ASU Engineering program who are now gainfully employed. They tell you their salaries; from this data, you wish to determine whether the mean salary of recent graduates of the ASU Engineering program is above the national average. Match each of the following elements of this example with its correct name.
A. Alice's, Bob's, and Carmen's salaries
B. Salaries of recent graduates of the ASU Engineering program
C. A number computed from the average of Alice's, Bob's, and Carmen's salaries that helps us decide whether to reject the null hypothesis

Answers

Complete Question

Generally the complete question is shown on the first uploaded image

Answer:

A. Alice's, Bob's, and Carmen's salaries      Sample  

B Salaries of recent graduates of the ASU Engineering program  Population

C A number computed from the average of Alice's, Bob's, and Carmen's salaries that helps us decide whether to reject the null hypothesis

   P-value  

Step-by-step explanation:

Considering A

   The salaries of  Alice, Bob, and Carmen are Samples because they are selected from a larger population (i.e the salaries  of recent graduates of the ASU Engineering program)

Considering B

  The salaries of recent graduates of the ASU Engineering program is the population because it is the entire pooled of data from which the samples are selected from

 Considering

A number computed from the average of Alice's, Bob's, and Carmen's salaries that helps us decide whether to reject the null hypothesis is the P-value  because the P-value is computed from the sample and it is use to make decision whether to reject or fail to reject the null hypothesis  

A charitable nonprofit organization wants to test two methods of fundraising. From a list of 1,000 past donors, half will be sent literature about the successful activities of the charity and asked to make another donation. The other 500 donors will be contacted by phone and asked to make another donation. The percentage of people from each group will be compared. (Select all that apply.)
A) After the donation collection period, calculate the average or total amount collected from the 500 donors in the treatment group.
B) After the donation collection period, compare the average or total amount collected from each of the two treatment groups.
C) A placebo is not being used.
D) Randomly select 100 donors to receive the literature and 900 donors to receive the phone call.
E) A placebo is being used for the remaining 900 donors.
F) Randomly select 500 donors to receive the literature and 500 donors to receive the phone call.

Answers

Answer:

The correct selections are:

B) After the donation collection period, compare the average or total amount collected from each of the two treatment groups.

C) A placebo is not being used

F) Randomly select 500 donors to receive the literature and 500 donors to receive the phone call.

Step-by-step explanation:

What this question requires from you, is to identify the correct characteristics of the study described. Let us explain why each of the selections was made.

B) After the donation collection period, compare the average or total amount collected from each of the two treatment groups: The purpose of the study is to determine the difference in the effectiveness of two methods of fundraising. Therefore at the end of the study, the average total amount raised from each group will be compared to determine which was more effective.

C) A placebo is not being used: Placebos are sham treatments used in a control group without their knowledge. The placebos do not produce any effect similar to the results anticipated the actual treatment. Here, no group is given sham treatment, there is no "control" group given placebos hence placebos are not used.

F) Randomly select 500 donors to receive the literature and 500 donors to receive the phone call: To remove any form of bias in the study, the selection of the groups is done at random, and the number of participants in each group is the same, so as to maintain uniformity during the comparison.

The right statement selection will be of these are:

A) After the donation collection period, compare the average or total amount collected from each of the two treatment groups.

C) A placebo is not being used.

F) Randomly select 500 donors to receive the literature and 500 donors to receive the phone call.

Use a random number generator to choose from a list of [tex]1000[/tex] past donors, half will be i.e.,[tex]=\frac{1000}{2} =500[/tex] will be sent literature, and the other 500 donors will be contacted by phone.

And the percentage of people from each group will be compared i.e. we make the total amount from each of the two treatment groups.

In this case, Placebo is not used.

Learn more: https://brainly.com/question/24131735

6m + 2(6 + 7m)=-128
How do I solve this step by step

Answers

Answer:

M = 7

Step-by-step explanation:

6m + 2(6 + 7m) = -128

6m + 12 + 14m = -128

20m + 12 = -128

Subtract 12 both sides

20m = 140

Divide by 20 both sides

M=7

True False Problem Enter T or F depending on whether the statement is true or false. (You must enter T or FTrue and False will not work.)
1. If the solution to a system of linear equations is given by (4 - 2z, -3 +z, z), then (4, -3, 0) is a solution to the system
2. If the number of rows of an augmented matrix in reduced row-echelon form is greater than the number of columns (to the left of the vertical bar), then the system has infinitely many solutions
3. If a matrix is in reduced-row echelon form, then the first nonzero entry in each row is a 1 and has O's below it.

Answers

Answer:

t

Step-by-step explanation:

The jacks and balls have to be split among 6 people. Use the Distributive Property to pull the number 6 out of the expression you wrote in part a. Write the resulting expression below.

Answers

Answer: (24 + 60) = (6 × 4 + 6 × 10) = 6 × (4 + 10)

Through an extensive computer search, a genealogist determined that worldwide, 250 out of every 10 million people had his last name. What percent is this?

Answers

Answer:

.0025%

Step-by-step explanation:

You would first take 250 and divide it by 10 million

you would get .000025 you would then multiple it by 100 to get .0025

simplify the expression
- 1/8 -2/7
pls help :)

Answers

Answer: -23/56
Explanation: made common denominators to even out fractions then subtracted

When simplifying an algebraic expression, we are allowed to combine "like terms.” How do we know when two or more terms are “like”?​

Answers

Answer:

Like terms mean that they have the same power/exponent, variable, or normal numbers. Like,

2 , 3 are like terms

2² , 5² are like terms

[tex]x^{3}[/tex] , [tex]x^{2}[/tex] are not like,

y, v are not like,

y , y are like

If my answer helped, please mark me as the brainliest!

Thank You !

Hope goes through the steps of sorting a list. The resulting list is shown below. A 2 column table with 6 rows. Column 1 has entries Argon, Carbon dioxide, Gas, Nitrogen, Oxygen, Other gases. The word Gas is set bold. Column 2 has entries .93, .04, Percentage, 78, 21, .03. The word Percentage is set bold. Which step did Hope miss? Press the Sort icon. Sort the list by text. Click the Header Row option. Choose the Ascending button.

Answers

Answer:

its paragraph

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

edge 2021

Which inequality is equivalent to 3+4/x > equal to (x+2)/x

Answers

The inequality 3 + (4/x) ≥ (x + 2) / x is equivalent to the inequality x ≥ -1.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign.

The inequality is given below.

3 + (4/x) ≥ (x+2)/x

By simplifying, we have

(3x + 4) / x ≥ (x + 2) / x

      3x + 4 ≥ x + 2

           2x ≥ -2

             x ≥ -1

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ1

HELPHELPHELP
Use the distributive property to write an expression that is equivalent to the sum of 9 and 54.
9(1 + 6)
9(9+6)
9(1 + 54)
9(1) + 9(54)

Answers

Answer:

now that is ever easy enough u have to add

ANSWERE

A

Step-by-step explanation:

A company produces two types of computers; desktops and laptops. They will make a profit of $248 on each desktop and $259 on each laptop. Each desktop computer takes 10 hours of assembly time and 2 hours of quality control time. Each laptop computer takes 6 hours of assembly time and 7 hours of quality control time. The company has a maximum of 2,800 assembly hours and 1,000 quality control hours per week. In your answer, let x be the number of desktops to produce, and let y be the number of laptops to produce. Write the linear programming problem which must be solved to determine how many of each kind of computer should be made in order to maximize profit.

Answers

Answer:

248x+259y>=P  (objective function)constraints10x+6y<=2800------12x+7y<=1000-------2To maximize profit(P>=$79,905)the company needs to produce  35 desktop computers and 275 laptops computers

Step-by-step explanation:

let x be the number of desktops to produce, and

let y be the number of laptops to produce.

let the profit be p

maximize P (objective function)

248x+259y>=P

The products are subject to the constraints (that is, the restrictions)

1. Assembly hours

assembly time 10 hours and  6 hours for desktop and laptop respectively

maximum assembly hours is 2800

10x+6y<=2800------1

2. Quality control time

Quality control time 2 hours and  7 hours for desktop and laptop respectively

maximum assembly hours is 1000

2x+7y<=1000-------2

we can now solve equation 1 and 2 to get the values of x and y

10x+6y<=2800------1

2x+7y<=1000-------2

multiply equation 2 by 5 we have

10x+6y<=2800------1

10x+14y<5000-----3

subtract equation 3 from 1 we have

0x-8y<=-2200

8y<=2200

divide both sides by 8

y<=275

substitute y=275 in equation 1 we have

10x+6y<=2800------1

10x+6(275)<=2800------1

10x+1650<=2800

10x<=2800-1650

10x<=350

divide both sides by 10 we have

x<=35

we proceed by substituting x=35 and y=275 in the objective function we have

248x+259y>=P

248(35)+259(275)>=P

8680+71225>=P

P>=$79,905

Hi, I could really use some help on this math problem

Answers

Answer:

2 mph

Step-by-step explanation:

Distance = speed × time

time = distance / speed

If x is the speed of the current, then 12 + x is the downstream speed and 12 − x is the upstream speed.

The time downstream is the same as the time upstream, so:

21 / (12 + x) = 15 / (12 − x)

Cross multiply and solve:

21 (12 − x) = 15 (12 + x)

252 − 21x = 180 + 15x

72 = 36x

x = 2

Let's check our answer.  At 14 mph, he can travel 21 miles in 1.5 hours.  At 10 mph, he can travel 15 miles in 1.5 hours.

So the speed of the current is 2 mph.

City lake waterpark has many attractions one of which is super slide

Answers

Answer:

6444444445555555555555555555555

what is the sum of 75/100 and 8/10

Answers

Answer:

155

Step-by-step explanation:

8/10 is basically 80/100

so 75/100 + 80/100 is equal to=

155.

or in fractions wise 155/100

Answer:

1 11/20

Step-by-step explanation:

75

100

+

8

10

=  

75

100

+

8 × 10

10 × 10

=  

75

100

+

80

100

=  

75 + 80

100

=  

155

100

=  

155 ÷ 5

100 ÷ 5

=  

1 11

20

N
h(x) =
x +3
Find the inverse of the function

Answers

Answer:

The inverse is x-3

Step-by-step explanation:

h(x) = x +3

y = x+3

Exchange x and y

x = y+3

Solve for y

Subtract 3 from each side

x-3 = y+3-3

x-3 = y

The inverse is x-3

1. A company produces two types of nutritional supplements; Energize and Excel. Energize contains 26 mg of vitamin A, 42 mg of vitamin C and 25 mg of an herbal supplement. Excel contains 68 mg of vitamin A, 61 mg of vitamin C and 15 mg of the herbal supplement. An athlete is told that he needs at least 489 mg of vitamin A, 1130 mg of vitamin C and 348 mg of the herbal supplement for optimal athletic performance. The athlete wants to take the supplements, but at the lowest possible cost. Energize pills cost 40 cents each, while Excel pills cost 100 cents each. Let x = the number of Energize pills to take, and let y = the number of Excel pills to take. Which of the following is the objective function for this situation?
A) Minimize C = 40x + 100y.
B) Maximize C = 40x + 100y.
C) Minimize C = 11300x + 3480y.
D) Maximize C = 100x + 40y.
E) Minimize C = 100x + 40y.
F) None of the above.
2. A company produces two types of bicycles; mountain bikes and racing bikes. It takes 7 hours of assembly time and 5 hours of mechanical tuning to produce a mountain bike. It takes 8 hours of assembly time and 4 hours of mechanical tuning to produce a racing bike. The company has at most 22 hours of mechanical tuning labor per week and at most 190 hours of assembly labor per week. The company's profit is $50 for each mountain bike produced and $130 for each racing bike produced. The company wants to make as much money as possible. Let x = the number of mountain bikes they produce, and let y = the number of racing bikes they produce. What are the constraints for this problem?
a) 7x + 5y ≤ 190, 8x + 4y ≤ 22, x ≥ 0, y ≥ 0.
b) 7x + 8y ≥ 190, 5x + 4y ≤ 22, x ≥ 0, y ≥ 0.
c) 5x + 8y ≤ 190, 7x + 4y ≤ 22, x ≥ 0, y ≥ 0.
d) 7x + 8y ≤ 190, 5x + 4y ≤ 22, x ≥ 0, y ≥ 0.
e) 7x + 8y ≤ 190, 5x + 4y ≥ 22, x ≥ 0, y ≥ 0.
f) none of the above.
3. A certain academic department at a local university will conduct a research project. The department will need to hire graduate research assistants and professional researchers. Each graduate research assistant will need to work 23 hours per week on fieldwork and 17 hours per week at the university's research center. Each professional researcher will need to work 15 hours per week on fieldwork and 25 hours per week at the university's research center. The minimum number of hours needed per week for fieldwork is 154 and the minimum number of hours needed per week at the research center is 140. Each research assistant will be paid $295 per week and each professional researcher will be paid $416 per week. Let xdenote the number of graduate research assistants hired and let y denote the number of professional researcher hired. The department wants to minimize cost. Set up the Linear Programming Problem for this situation.
A) Min C = 416x + 295y; s.t 23x + 17y ≥ 154, 15x + 25y ≥ 140, x ≥ 0, y ≥ 0.
B) Min C = 295x + 416y; s.t 23x + 15y ≥ 154, 17x + 25y ≥ 140, x ≥ 0, y ≥ 0.
C) Min C = 295x + 416y; s.t 23x + 15y ≥ 154, 25x + 17y ≥ 140, x ≥ 0, y ≥ 0.
D) Min C = 295x + 416y; s.t 15x + 23y ≤ 140, 25x + 17y ≤ 154, x ≥ 0, y ≥ 0.
E) Min C = 416x + 295y; s.t 15x + 23y ≥ 154, 25x + 17y ≥ 140, x ≥ 0, y ≥ 0.
F) None of the above.

Answers

Answer:

1)A) Minimize C = 40x + 100y.

2) d) 7x + 8y ≤ 190, 5x + 4y ≤ 22, x ≥ 0, y ≥ 0.

3) B) Min C = 295x + 416y; s.t 23x + 15y ≥ 154, 17x + 25y ≥ 140, x ≥ 0, y ≥ 0.

Step-by-step explanation:

1) Energize pills cost 40 cents each, while Excel pills cost 100 cents each. If x represent the energize pills and y represent the excel pills, the objective function would be:

minimize cost = cost of energize pill + cost of excel pill

Minimize cost = 40x + 100y

2) Let x = the number of mountain bikes they produce, and let y = the number of racing bikes they produce.

7 hours of assemble time to produce a mountain bike and 8 hours of assemble time to produce a racing bike. Since the company has at most 190 hours for assemble time, it can be represented as:

7x + 8y≤ 190

5 hours of mechanical tuning to produce a mountain bike and 4 hours of mechanical tuning to produce a racing bike. Since the company has at most 22 hours for mechanical tuning, it can be represented as:

5x + 4y ≤ 22

Also assemble time and mechanical time must be greater than 0, hence:

x ≥ 0, y ≥ 0

3) The fieldwork constraint can be represented as:

23x + 15y ≥ 154

The time to be spent at university research center can be represented as:

17x + 25y ≥ 140

Both fieldwork time and time spent at university research center mut be greater than 0, hence:

x ≥ 0, y≥ 0

The cost equation is:

Minimize cost = 295x + 416y

Which number is the same as 125,000,000

a) 1.25 x 10 to the power of 6 c) .125 x 10 to the power of 6 e) 125 million

b) 125,000 million d) 1.25 million

Answers

Answer:

c

Step-by-step explanation:

I'm pretty sure the answer is c

Other Questions
HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!! Circle the vague pronoun. Then rewrite the sentence so that its meaning is clear. Even though the car backed into the wall, it was not damaged. wut is it What was one way the Chinese tried to protect themselves during the Warring States period?A.They created alliances with other nations. B.They built barriers like the Great Wall of Qi. C.They pitted feudal leaders against one another. D.They fled the capital of Luoyang to avoid invaders Summary of the titanic ? Helppp!!cherchons/intelligent/de/quelqu'un/nous Look under the concept of Founding Ideals of the vocab page for numbers 8-12. 8. A _____________________________ is a political body in which the supreme power rests in the citizens who are entitled to vote and is exercised by representatives chosen directly or indirectly by the citizens. Thursday: 9. __________________________ ____________________________ is a type of democracy in which the citizens give authority to elected representatives to make decisions for them. 10. ________________________ _____________________________ is a form of democracy n which the people as a whole make direct decisions, rather than have those decisions made for them by elected representatives. True or False____Polynomials can have an infinite number of terms.____A monomial is a polynomial that has one term.____If you add or multiply polynomials, the result is a polynomial.____A polynomial has to have a variable. if f(x)=6x-3 and g(x)=x-6 what is true WILL MARK BRAINLIST IF CORRECTWhat can the reader infer about the sisters actions in "Sister and Brother?The scene that the sister sees makes her decide that sometimes leaving someone is okay.When the sister smiles, it reflects her understanding that finding humor is key.The sisters feelings make her decide that taking care of herself is the most important thing to do.When the sister laughs, it reflects her understanding that caring for others is key. what does Miantonomo suggest that individual Native American tribes need to do in order to continue to thrive as a people? Why? What is the value of x? X + 5/8 =6 enter your answer in simplest form 3. Eliminate the parenthesis and combine like terms on the equation: 2(x - 1) = 5.0 2- 3.0 Gregory can buy 4 pounds of wheat flour for $8 and 5 pounds of rye flour for $20. He has $12 to spend on a flour mixture. What linear equation in standard form can Gregory use to model the situation? Using math functions Given three floating-point numbers x, y, and z, output x to the power of z, x to the power of (y to the power of z), the absolute value of (x minus y), and the square root of (x to the power of z). Output each floating-point value with two digits after the decimal point, which can be achieved as follows: print('{:.2f} {:.2f} {:.2f} {:.2f}'.format(your_value1, your_value2, your_value3, your_value4)) Ex: If the input is: 5.0 1.5 3.2the output is: 172.47 340002948455826440449068892160.00 6.50 262.43 Which of these can be considered "online banking?"1. A brick-and-mortar bank that allows its customers to transfer money online.II. A bank that has only a few branches but has customers depositing money online.III. A bank that does not exist as a real building, but only has an internet presence.I and IIb. II and IIIC. III onlyd. I, II, and IIIa.Please select the best answer from the choices providedAB 11/12 into decimal form Assume that you knew that the value of the coins totaled $62.00. What is one possible combination of penniesand quarters that sum to $62.00. what was John Adamss opinion of the pace of the revolution Why is Samuel Maharero significant?