A department store mails a customer satisfaction survey to people who make credit card purchases at the store. This month, 3521 people made credit card purchases. Surveys are mailed to 278 of these people, chosen at random, and 172 people return the survey form. Identify the population and the sample.

Answers

Answer 1

Answer:

The population is the population of 3521 people who made credit card purchases.

The sample is the 172 people who returned the survey form.

Step-by-step explanation:

Department mails customers satisfactions forms to those who make credit cards purchase at the store, totaling 3521 people. Thus, the population is the population of 3521 people who made credit card purchases.

Surveys are mailed to 278 of these people, chosen at random, and 172 people return the survey form.

Thus the sample, that is, those from whom the data will be taken and expanded to the rest of the population, is the 172 people who returned the survey form.

Answer 2

The population is all 3521 people who made credit card purchases.

The sample is the 172 people who returned the survey form.


Related Questions

how many feet is 2 1/2 miles

Answers

Answer:

13200 ft

Step-by-step explanation:

1 mi = 5280 ft

5280 ft x 2.5 = 13200 ft

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

There are 13200 ft in 2 1/2 miles

Step-by-step explanation:

To solve this, you have to know how many feet are in a mile.

Answer: 5280 ft

Rule: Multiply miles x 5280 to get the amount of feet.

Step 1. Multiply 2 x 5280

Answer: 10560

Step 2. Find half of 5280

5280/2 = 2640

Step 3. Add 10560 and 2640

Answer: 13200

There are 13200 ft in 2 1/2 miles
•••••••••••••••••••••••••••••••••••
doomdabomb: All brainliest
and thanks are appreciated
and would mean a lot to me,
thanks!

identify the roots of the equation and the multiplicities of the roots 8(x - 2)³ = 0​

Answers

Answer:

The root of the equation is 2 with multiplicity 3

Step-by-step explanation:

8(x-2)^3=0

(x-2)^3=0

The root of the equation is 2 with multiplicity 3

Factor 64a^3 -8b^3 Explain all steps.

Answers

Answer:

[tex]8(2a- b)(4a^2+ 2ab+ b^2)[/tex]

Step-by-step explanation:

factor out the 8

then you have the sum/difference of cubes..

look that up SOAP: same opposite, always a plus

[tex]64a^3 -8b^3\\8(8a^3 -b^3)[/tex]

[tex]8(2a- b)(4a^2+ 2ab+ b^2)[/tex]

PLEASE HELP

Solve the equation for y. Identify the slope and y-intercept then graph the equation.

2y-3x=10

Y=
M=
B=

Please Include a picture of the graph and show your work if you can

Answers

Hey there! I'm happy to help!

Here is our equation.

[tex]2y-3x=10[/tex]

Let's add 3x to both sides.

[tex]2y=3x+10[/tex]

Divide both sides by 2.

[tex]y=\frac{3}{2}x+5[/tex]

Here is slope intercept form.

[tex]y=mx+b\\m=slope\\b=y-intercept[/tex]

So, we can just find those two things in the equation, and here are our answers.

[tex]y=\frac{3}{2}x+5\\m=\frac{3}{2}\\b=5[/tex]

The graph is down below. If our y-intercept is 5, then one of our points is (0,5). You can then plug a random x-value into the formula to find another point and then draw the line going through the two points.

[tex]y=\frac{3}{2}(2)+5\\y=3+5\\y=8\\(2,8)[/tex]

Have a wonderful day and keep on learning! :D

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 2.1yd : 1.4yd

Answers

9514 1404 393

Answer:

  3/2

Step-by-step explanation:

Multiplying numerator and denominator by 10 will convert the ratio to a ratio of whole numbers. Then dividing by the common factor of 7 will reduce it to simplest form.

  [tex]\dfrac{2.1\text{ yd}}{1.4\text{ yd}}=\dfrac{2.1\times10}{1.4\times10}=\dfrac{21}{14}=\dfrac{3\times7}{2\times7}=\boxed{\dfrac{3}{2}}[/tex]

3(6x+3)=63 How to do it​

Answers

answer: x=3
how to do it:
1. Distribute the 3 to the 6x+3. This will result in “18x+9”
2. Now you have 18x+9=63
3. Subtract 9 from both sides to isolate the variable.
4. Now you have 18x=54
5. Divide both sides by 18.
Now you have x=3. Hope this helps.

which of these figures has rotational symmetry

Answers

9514 1404 393

Answer:

  A

Step-by-step explanation:

The parallelogram has rotational symmetry of degree 2. It looks the same after rotation by 180°.

_____

Additional comment

When a figure only looks like itself after a full rotation of 360°, it is said to have rotational symmetry of degree 1. All of the figures here will return to their original appearance after one 360° rotation. So, we assume the intent of the question is to identify figures with a rotational symmetry of degree greater than 1.

write the greatest and smallest four digit number by using 7,8,0,9 digit​

Answers

0789 is the smallest
9870 is the largest

what is the least common multiple between 25 and 8

Answers

Answer:

200

Step-by-step explanation:

Break down 25 = 5*5

Break down 8 = 2*2*2

They have no common factors

The least common multiple is

5*5*2*2*2 = 25*8 = 200

Answer:

200

Step-by-step explanation:

list the factors of 25: 5,5

factors of 8:2,2,2,

SAT scores are normally distributed with a mean of 1,500 and a standard deviation of 300. An administrator at a college is interested in estimating the average SAT score of first-year students. If the administrator would like to limit the margin of error of the 88% confidence interval to 15 points, how many students should the administrator sample? Make sure to give a whole number answer.

Answers

Answer:

The administrator should sample 968 students.

Step-by-step explanation:

We have to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.88}{2} = 0.06[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a p-value of [tex]1 - 0.06 = 0.94[/tex], so Z = 1.555.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation of 300.

This means that [tex]n = 300[/tex]

If the administrator would like to limit the margin of error of the 88% confidence interval to 15 points, how many students should the administrator sample?

This is n for which M = 15. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]15 = 1.555\frac{300}{\sqrt{n}}[/tex]

[tex]15\sqrt{n} = 300*1.555[/tex]

Dividing both sides by 15

[tex]\sqrt{n} = 20*1.555[/tex]

[tex](\sqrt{n})^2 = (20*1.555)^2[/tex]

[tex]n = 967.2[/tex]

Rounding up:

The administrator should sample 968 students.

Assume that the matrices below are partitioned conformably for block multiplication. Compute the product.

[I 0] [W X]
[K I] [Y Z]

Answers

Multiplying block matrices works just like multiplication between regular matrices, provided that component matrices have the right sizes.

[tex]\begin{bmatrix}\mathbf I&\mathbf 0\\\mathbf K&\mathbf I\end{bmatrix}\begin{bmatrix}\mathbf W&\mathbf X\\\mathbf Y&\mathbf Z\end{bmatrix} = \begin{bmatrix}\mathbf{IW}+\mathbf{0Y}&\mathbf{IX}+\mathbf{0Z}\\\mathbf{KW}+\mathbf{IY}&\mathbf{KX}+\mathbf{IZ}\end{bmatrix}[/tex]

[tex]\begin{bmatrix}\mathbf I&\mathbf 0\\\mathbf K&\mathbf I\end{bmatrix}\begin{bmatrix}\mathbf W&\mathbf X\\\mathbf Y&\mathbf Z\end{bmatrix} = \begin{bmatrix}\mathbf W+\mathbf 0&\mathbf X+\mathbf 0\\\mathbf{KW}+\mathbf Y&\mathbf{KX}+\mathbf Z\end{bmatrix}[/tex]

[tex]\begin{bmatrix}\mathbf I&\mathbf 0\\\mathbf K&\mathbf I\end{bmatrix}\begin{bmatrix}\mathbf W&\mathbf X\\\mathbf Y&\mathbf Z\end{bmatrix} = \begin{bmatrix}\mathbf W&\mathbf X\\\mathbf{KW}+\mathbf Y&\mathbf{KX}+\mathbf Z\end{bmatrix}[/tex]

(I assume I is the identity matrix and 0 is the zero matrix.)

50T Q12 A man wants to buy bags of gravel to cover his driveway. He decides to work out the area of his driveway. 1 bag of gravel covers 14m2 3m Sketch of driveway Not to scale 3m 8m 6m What is the area of his driveway? How many bags of gravel must he buy?​

Answers

Answer:

hi amki nai patajjdkfkejd

2. In a 100m race, Luke was 2m ahead of Azam. Chandra was 3m behind Luke, Maggie was 7m ahead of Chandra. Luke was 5m behind Darren. Who was in the first place?​

Answers

Answer:

luke won

Step-by-step explanation:

he is 2 meters ahead of azam witch is in 2dn place

Maggie is the winner. She was the most ahead

A line passes through the point (-3, -3) and has a slope of 1/2 What is the equation of the line?

Answers

Answer:

y= 1/2x-3/2

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b  where m is the slope and b is the y intercept

y = 1/2x+b

Using the point for x and y we can find b

-3 = 1/2(-3)+b

-3 = -3/2 +b

-6/2 = -3/2+b

Add 3/2 to each side

-6/2 +3/2 = b

-3/2 = b

y= 1/2x-3/2

Answer:

Step-by-step explanation:

y + 3 = 1/2(x + 3)

y + 3 = 1/2x + 3/2

y + 6/2 = 1/2x + 3/2

y = 1/2x - 3/2

Assume a random variable representing the amount of time it takes for a customer service representative to pick up has a uniform distribution between 15 and 20 minutes. What is the probability that a randomly selected application from this distribution took less than 18 minutes

Answers

Answer:

0.6 = 60% probability that a randomly selected application from this distribution took less than 18 minutes.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.  

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

Uniform distribution between 15 and 20 minutes.

This means that [tex]a = 15, b = 20[/tex]

What is the probability that a randomly selected application from this distribution took less than 18 minutes?

[tex]P(X < 18) = \frac{18 - 15}{20 - 15} = 0.6[/tex]

0.6 = 60% probability that a randomly selected application from this distribution took less than 18 minutes.

Which number is divisible by 5? 99 45 83 94

Answers

Answer:

45

Step-by-step explanation:

because 5•9=45 so yeah that's the answer

Suppose Event A is taking 15 or more minutes to get to work tomorrow and Event B is taking less than 15 minutes to get to work tomorrow. Events A and B are said to be complementary events.

a. True
b. False

Answers

Answer:

Hence the answer is TRUE.

Step-by-step explanation:

If event A is taking 15 or more minutes to urge to figure tomorrow and event B is taking but a quarter-hour to urge to figure tomorrow, then events A and B must be complimentary events. this is often because the occurring of 1 is going to be precisely the opposite of the occurring of the opposite event and that they cannot occur simultaneously. In other words, events A and B are mutually exclusive and exhaustive.  

Mathematically,  

P(A) + P(B) = 1.

Destiny just received two separate gifts from her great-great-grandmother.
The first gift is a box of 18 chocolate candy bars, and the second gift is a pack of 12 cookies.
Destiny wants to use all of the chocolate candy bars and cookies to make identical snack bags for her cousins.
What is the greatest number of snack bags that Destiny can make?

Answers

Answer:

Destiny will be able to create 12 identical snack bags.

Step-by-step explanation:

Given that a snack bag will be 1 chocolate candy bar, and 1 cookie, we have to subtract 1 chocolate for every cookie she has, and that will leave us with 6 chocolate bars left. The equation for this is 18 - 12 = 6.

A history teacher gives a 17 question True or false exam. In how many different ways can the test be answered if the possible answers are true or false or possibly to leave the answer blank?

Answers

Answer:

Step-by-step explanation:

if it's only true or false there are 2¹⁷=131072 outcomes

if it's true, false, or blank there are 3¹⁷=129140163 outcomes

find the missing length indicated​

Answers

I think x is 144 by using tan theta=p/b

explainion:

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

Use The (Pythagorean Theorem) to find the length of any side of a right triangle. Form it like its shown in picture above. Follow the instructions that also shown in the picture above.

I need help ASAP please

Answers

Answer:

5:10

6 (-2,0)

7 (-5,6)

8 (5,3)

9 No, ab=8 CD=6

Step-by-step explanation:

Which equation can be used to find the length of Line segment A C?

Answers

Answer:

I don't see the problem.

Step-by-step explanation:

If a seed is planted, it has a 90% chance of growing into a healthy plant.

If 6 seeds are planted, what is the probability that exactly 2 don't grow?

Answers

Answer:

[tex]\displaystyle\frac{19,683}{200,000}\text{ or }\approx 9.84\%[/tex]

Step-by-step explanation:

For each planted seed, there is a 90% chance that it grows into a healthy plant, which means that there is a [tex]100\%-90\%=10\%[/tex] chance it does not grow into a healthy plant.

Since we are planting 6 seeds, we want to choose 2 that do not grow and 4 that do grow:

[tex]\displaystyle \frac{1}{10}\cdot \frac{1}{10}\cdot \frac{9}{10}\cdot \frac{9}{10}\cdot \frac{9}{10}\cdot \frac{9}{10}[/tex]

However, this is only one case that meets the conditions. We can choose any 2 out of the 6 seeds to be the ones that don't grow into a healthy plant, not just the first and second ones. Therefore, we need to multiply this by number of ways we can choose 2 things from 6 (6 choose 2):

[tex]\displaystyle \binom{6}{2}=\frac{6\cdot 5}{2!}=\frac{30}{2}=15[/tex]

Therefore, we have:

[tex]\displaystyle\\P(\text{exactly 2 don't grow})=\frac{1}{10}\cdot \frac{1}{10}\cdot \frac{9}{10}\cdot \frac{9}{10}\cdot \frac{9}{10}\cdot \frac{9}{10}\cdot \binom{6}{2},\\\\P(\text{exactly 2 don't grow})=\frac{1}{10}\cdot \frac{1}{10}\cdot \frac{9}{10}\cdot \frac{9}{10}\cdot \frac{9}{10}\cdot \frac{9}{10}\cdot 15,\\\\P(\text{exactly 2 don't grow})=\boxed{\frac{19,683}{200,000}}\approx 9.84\%[/tex]

Answer:

[tex] {?}^{?} However, this is only one case that meets the conditions. We can choose any 2 out of the 6 seeds to be the ones that don't grow into a healthy plant, not just the first and second ones. Therefore, we need to multiply this by number of ways we can choose 2 things from 6 (6 choose 2):

\displaystyle \binom{6}{2}=\frac{6\cdot 5}{2!}=\frac{30}{2}=15(26)=2!6⋅5=230=15

Therefore, we have:

\begin{gathered}\displaystyle\\P(\text{exactly 2 don't grow})=\frac{1}{10}\cdot \frac{1}{10}\cdot \frac{9}{10}\cdot \frac{9}{10}\cdot \frac{9}{10}\cdot \frac{9}{10}\cdot \binom{6}{2},\\\\P(\text{exactly 2 don't grow})=\frac{1}{10}\cdot \frac{1}{10}\cdot \frac{9}{10}\cdot \frac{9}{10}\cdot \frac{9}{10}\cdot \frac{9}{10}\cdot 15,\\\\P(\text{exactly 2 don't grow})=\boxed{\frac{19,683}{200,000}}\approx 9.84\%\end{gathered}P(exactly 2 don’t grow)=101⋅101⋅109⋅109⋅109⋅109⋅(26),P(exactly 2 don’t grow)=101⋅101⋅109⋅109⋅109⋅109⋅15,P(exactly 2 don’t grow)=200,00019,683≈9.84%

[/tex]

(07.03. 07.04 MC)
Part A: The area of a square is (4x2 + 20x + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Show
your work (5 points)
Part B: The area of a rectangle is (4x2 - 9y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work
(5 points)

Answers

Answer:

A) 4x^2+20x+25=(2x)^2+2*(2x)*5+5^2=(2x+5)^2

Area=(side)^2, side=sqrt(area)=sqrt((2x+5)^2)=2x+5

B) 4x^2-9y^2=(2x-3y)(2x+3y), these are the dimensions of the rectangle

A) The length of each side of the square is (2x + 5).

B) The dimensions of the rectangle are (2x - 3y) and (2x + 3y).

Used the concept of a quadratic equation that states,

An algebraic equation with the second degree of the variable is called a Quadratic equation.

Given that,

Part A: The area of a square is [tex](4x^2 + 20x + 25)[/tex] square units.

Part B: The area of a rectangle is [tex](4x^2 - 9y^2)[/tex] square units.

A) Now the length of each side of the square is calculated by factoring the area expression completely,

[tex](4x^2 + 20x + 25)[/tex]

[tex]4x^2 + (10 + 10)x + 25[/tex]

[tex]4x^2 + 10x + 10x + 25[/tex]

[tex]2x (x + 5) + 5(2x + 5)[/tex]

[tex](2x + 5) (2x+5)[/tex]

Hence the length of each side of the square is (2x + 5).

B) the dimensions of the rectangle are calculated by factoring the area expression completely,

[tex](4x^2 - 9y^2)[/tex]

[tex](2x)^2 - (3y)^2[/tex]

[tex](2x - 3y) (2x + 3y)[/tex]

Therefore, the dimensions of the rectangle are (2x - 3y) and (2x + 3y).

To learn more about the rectangle visit:

https://brainly.com/question/2607596

#SPJ4

Hallar el noveno término de la progresión aritmética 8, 13, 18,…

Answers

Answer:18

Step-by-step explanation:


Assume x and y are two odd numbers and x/y is an integer.
Which of the following statements are true?
I. x + y is odd
2. xy is odd.
3. x/y is odd
4. x-y is odd







Answers

Answer:

Let us check these out one at a time:

 

1. x + y is odd.  FALSE.  The sum of 2 odd numbers is even.

2. xy is odd.  TRUE.  The product of 2 odd numbers is odd.

3. x/y is odd.  TRUE.  The ratio of 2 odd numbers is odd, if the ratio is an integer.

4. x - y is odd.  FALSE.  The difference of 2 odd numbers is even.

 

Only statements 2 and 3 are TRUE, so that makes (C) the correct answer.

help

What is 5 added to 3 4?
6. 12​

Answers

Answer:

8.4

Step-by-step explanation:

jjdijendjndoendidnie

Find the first five terms of the sequence..

Answers

Answer:

The Next fiver tems are - 2, -2,-8,-12,-16

Step-by-step explanation:

Answer:

2,-6,2,-6,2

Step-by-step explanation:

a1 = 2

an = -an-1 -4

Let n =2

a2 = -a1 -4 = -2-4 = -6

Let n=3

a3 = -a2 -4 = - (-6) -4 = +6 -4 = 2

Let n = 4

a4 = -a3 -4 = -2 -4 = -6

Let n=5

a5 = -a4 -4 = -(-6) -4 = +6-4 = 2

b) Use Greens theorem to find∫x^2 ydx-xy^2 dy where ‘C’ is the circle x2 + y2 = 4 going counter clock wise.​

Answers

It looks like the integral you want to find is

[tex]\displaystyle \int_C x^2y\,\mathrm dx - xy^2\,\mathrm dy[/tex]

where C is the circle x ² + y ² = 4. By Green's theorem, the line integral is equivalent to a double integral over the disk x ² + y ² ≤ 4, namely

[tex]\displaystyle \iint\limits_{x^2+y^2\le4}\frac{\partial(-xy^2)}{\partial x}-\frac{\partial(x^2y)}{\partial y}\,\mathrm dx\,\mathrm dy = -\iint\limits_{x^2+y^2\le4}(x^2+y^2)\,\mathrm dx\,\mathrm dy[/tex]

To compute the remaining integral, convert to polar coordinates. We take

x = r cos(t )

y = r sin(t )

x ² + y ² = r ²

dx dy = r dr dt

Then

[tex]\displaystyle \int_C x^2y\,\mathrm dx - xy^2\,\mathrm dy = -\int_0^{2\pi}\int_0^2 r^3\,\mathrm dr\,\mathrm dt \\\\ = -2\pi\int_0^2 r^3\,\mathrm dr \\\\ = -\frac\pi2 r^4\bigg|_{r=0}^{r=2} \\\\ = \boxed{-8\pi}[/tex]

Find the measures of angles S and T in the triangle below.

Answers

Answer:

60 degrees

Step-by-step explanation:

The type of triangle we’re looking at is a equilateral triangle meaning all sides and all angle measures measure the exact same thing.

With all this information, angle S and T measure 60*
•••••••••••••••••••••••••••••••
doomdabomb: All brainliest
and thanks are appreciated
and would mean a lot to me,
Thanks!
Other Questions
Which is the correct way to rewrite the following sentence fragment?Sound. Stir all over the house.A. All over the house sound and stir.B. There was sound and stirring all over the house.C. Stir all over the house; sound. A newborn exhibits signs of respiratory distress due to the lack of surfactant. She has signs of low oxygen and high carbon dioxide.Explain why the lack of surfactant would result in respiratory distress. Furthermore, what type of acid-base disorder might she develop and how would her body compensate. Be detailed in your explanation and support your answer with facts from your textbook, research, and articles from scholarly journals. In addition, remember to add references in APA format to your posts to avoid plagiarism. x-2y=-4 3x+y=9 solve the simultaneous equation (find x & y) 4((-1+2-3+4-5+6-7...+1000) A rectangular prism has a square base with edges measuring 8 inches each. Its volume is 768 cubic inches. Find the height and the surface area of the prism Cellular respiration is a mirror image of photosynthesis, meaning that the chemical reaction is the reverse. Below is the chemical reaction for photosynthesis. Which of the following would be the correct chemical reaction for cellular respiration? 6 CO2 + 6 H2O C6H12O6 + 6 O2 A. 6 CO2 + 6 H2O C6H12O6 + 6 O2 B. 6 CO2 + 6 H2O 6 CO2 + 6 H2O C. C6H12O6 + 6 O2 6 CO2 + 6 H2O D. C6H12O6 + 6 O2 C6H12O6 + 6 O2 A simple random sample is drawn from a normally distributed population. The value of which of the following will notknown for certain but can be inferred?o uo-xoson What can a writer do to surprise readers in a story?slow the story down and add more detailcreate a plot twist that affects the storys outcomespeed up the narrative progressionhave the story continue to progress at a predictable rate Help please I need 6 and 8 Texto argumentativo sobre la independencia del Peru en el 1821 teniendo en cuenta la siguiente estructura:tesis cuerpo y conclucion Select the correct answer.Which of these statements is true of dynamic design diagrams?A. They demonstrate objects.B. They demonstrate relationships.C. They demonstrate the behavior of system aspects.D. They include structure diagrams. which type of figurative language is illustrated in this sentence : He glided across the field like a snake. Critical Thinking: Empirical/Quantitative SkillsUnited flight 15 from New York's JFK to San Francisco uses a Boeing 757-200 with 180 seats. Because somepeople with tickets don't show up. United will overbook by selling more than 180 tickets. If the flight is notoverbooked, the airline will lose revenue due to empty seats, but if too many tickets are sold and somepassengers are denied seats, the airline loses money from the compensation that must be given to bumpedpassengers. Assume that there is a 0.905 probability that a passenger with a ticket will show up for theflight. Also assume that the airline sells 200 tickets for the 180 seats that are available.1. When 200 tickets are sold, calculate the probability that exactly 180 passengers show up for the flight.Show your calculation (i.e. what you put in the calculator) and round to 4 decimals.2. When 200 tickets are sold, calculate the probability that at most 180 passengers show up for the flight.Show your calculation (ie. what you put in the calculator) and round to 4 decimals.3. When 200 tickets are sold, calculate the probability that more than 180 passengers show up for the flight.Show your calculation (i.e. what you put in the calculator) and round to 4 decimals. You are a new teacher in rural area. You don't know the local language and society. You communicate using English, while only few people in the community can speak English. How do you solve the problem of the relationship between the language and the society you live in? What is the purpose of the Arctic Circle?The Arctic Circle is an actual line. It marks the southernmost latitude at which the sun does not rise at least one day a year, and does not set at least one day a year. This makes for long days in summer and long nights during winter.The Arctic Circle is an imaginary line. It marks the northernmost latitude at which the sun does not rise at least one day a year, and does not set at least one day a year. This makes for long days in summer and long nights during winter.The Arctic Circle is an actual line. It marks the northernmost latitude at which the sun does not rise at least one day a year, and does not set at least one day a year. This makes for long days in summer and long nights during winter. Remy has unfortunately just been diagnosed with a grade II knee sprain after falling during a run. He will be required to attend physical therapy and will not be allowed to return to his track team for five weeks until he is completely healed. To prevent an injury like this in the future, Remy should do all of the following EXCEPTA. avoid runs if he is still in pain or too tiredB. make sure his shoes are slightly large so he can grow into them C. run on the flat, even surface of the track at his schoolD. stretch and warm up before going on any runs or other physical activity Which part of visible light transfers the most energy?GammarayUltra-violet InfraredRadioAhX-rays Visible MicrowaveO redO bluemmmO greenO yellowWavelength (nm)10-10-110210-10*101010Frequency (Hz)10%10"101101510110"10107 11 + box equals 19 find box Corey and Courtney are 210 feet apart when they start walking toward one another. Courtney walks twice as fast as Corey so whenever Corey travels x feet, Courtney travels 2x feet. Let x represent the number of feet Corey has traveled since he started walking toward Courtney.Write an expression in terms of x to represent the distance (in feet) between Corey and Courtney. Can someone help me pls