a pizza parlor has been experimenting with lowering the price of their large one-topping pizza to promote sales. the average revenues from the sale of large one-topping pizzas on a friday night (5 p.m. to midnight) at various prices are given below. revenue from the sale of pizzas at different prices price (dollars x) revenue (dollars r) 9.25 1202.50 10.50 1228.50 11.75 1210.25 13.00 1131.00 14.25 1054.50 (a) find the function for the quadratic model that gives the average revenue in dollars where x is the price in dollars of a large one-topping pizza, with data from 9.25 ≤ x ≤ 14.25. (round all numerical values to two decimal places.) r(x)

Answers

Answer 1

The function for the quadratic model that gives the average revenue in dollars where x is the price in dollars of a large one-topping pizza, with data from 9.25 ≤ x ≤ 14.25 is -105.6x² + 254.28x - 12.16.

Quadratic model

In regression, quadratic model means  mathematical model represented by a quadratic equation such as Y = aX² + bX + c, or by a system of quadratic equations.

Given,

A pizza parlor has been experimenting with lowering the price of their large one-topping pizza to promote sales. the average revenues from the sale of large one-topping pizzas on a Friday night (5 p.m. to midnight) at various prices are given below.

Here we need to find the quadratic model function with data from 9.25 ≤ x ≤ 14.25.

While we plot the given table of values in the graph then we get the graph like the following.

Through the graph we have identified that the value of

mean of x 11.75

mean of y 1,165.35

correlation coefficient r 0.9924547615

A -105.6

B 254.28

C -12.16

So, through these values the quadratic model of the function is written as,

=> -105.6x² + 254.28x - 12.16.

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A Pizza Parlor Has Been Experimenting With Lowering The Price Of Their Large One-topping Pizza To Promote

Related Questions

A CBS News/New York Times poll found that 329 out of 763 randomly selected adults said they would travel to outer space in their lifetime, given the chance. Estimate the true proportion of adults who would like to travel to outer space with 88% accuracy. Round your answers to at least three decimal places.

Answers

The true proportion of adults is in the interval 0.4026< P< 0.4594.

Here we have to estimate the true population of adults who would like to travel to outer space with 88% accuracy.

Data provided:

selected (x) = 329

Total(n) = 763

Sample proportion (p') = x/n

                                       = 329/ 763

                                       = 0.431

Critical z-value = 1.59

margin of error(E) = z[tex]\sqrt{p'( 1-p')/n}[/tex]

                             = 1.59 [tex]\sqrt{0.431(1-0.431) / 763}[/tex]

                             = 1.59 × 0.0179

                             = 0.0284

88% confidence interval is:

(p' ± E) = ( 0.431 ± 0.0284)

          = 0.4594 and 0.4026

Therefore the estimate is 0.4026< P< 0.4594.

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Given the algebraic expression (125x^7/3) ^-1/3 create an equivalent expression

Answers

The resulting value of the given indices expression is: [tex]\frac{1}{5x^{7/3}}[/tex]

What is indices and exponents?

A term's multiplicative history can be determined by an index, which is a discrete number. Indexes is the plural of index.

The exponentiation operator is the caret (). It is important to distinguish the exponent operator from the base-10 exponent sign. In a numeric literal, a base-10 exponent sign (scientific notation) can be represented by either an uppercase "E" or a lowercase "e."

[tex](125x^{7/3})^{-1/3}[/tex]

Using the indices law that states;

[tex](a^n)^m = a^{mn}[/tex]

Given,

[tex](125x^{7/3})^{-1/3}[/tex]

Since, [tex](125x^{7/3})^{-1/3}[/tex]= [tex][((5x)^3)^{7/3}]^{-1/3}[/tex]

= [tex][(5x)^7]^{-1/3}[/tex]

= [tex]5x^{-7/3}[/tex]

= [tex]\frac{1}{5x^{7/3}}[/tex]

Hence the resulting value of the given indices expression is: [tex]\frac{1}{5x^{7/3}}[/tex]

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A function is represented by the graph.

Complete the statement by selecting from the drop-down menu.

The y-intercept of the function y = 3x + 2 ​​​is
Choose...
the y-intercept of the function represented in the graph.
A graph with a line through point (0, 2) and point (2, 6)

Answers

We want to finish each statement by analyzing the graph provided.

The function's y-intercept is y =2.

y = 3x+2 is the equation.

The line connects (0, 2) and (2, 6).

What is meant by a function?

The earliest known attempt to the concept of function may be traced back to the works of Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. Functions were initially the idealization of how a variable quantity depended on another quantity. The position of a planet, for example, is a function of time.

So, first, we need to find the y-intercept. We know that the y-intercept is the y-value at which the function intersects the y-axis, and we can see from the graph that the y-intercept is y = 2.

Then we'd like to see the line's equation.

Remember that y = ax + b is a generic line.

Where a denotes the slope and b the y-intercept, we may deduce:

y = ax + 2

We know that if a line passes through two points (x₁, y₁) and (x₂, y₂), then the slope is:

a=(y₂-y₁)/(x₂-x₁)

Given that the line passes through (0, 2) and (-2/3, 0), the slope is as follows:

a=(-2/3)/(-2)

a=1/3

The equation of the line is:

y =3x+2

And using that equation, we can show that the line does indeed pass through the points (0, 2) and (2, 6)

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rosie is driving from knoxvile, tennesse orlando, florida. she drives 317.88 miles before she stops for lunch and then another 203 4/5 miles before taking a break. rosie has driven 4/5 of the entire trip. how many total miles is her trip?

Answers

The total miles of the trip are 521.68 miles.

What is addition?

Addition in maths, a process of combining two or more numbers.

Given that, Rosie drives 317.88 miles before lunch and then  [tex]203\frac{4}{5}[/tex] miles before break,

Total miles = 317.88 +  [tex]203\frac{4}{5}[/tex] miles = 521.68 miles

Hence, The total miles of the trip are 521.68 miles.

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nine tiles are numbered 1, 2, 3, . . . , 9, respectively. each of three players randomly selects and keeps three of the tiles, and sums those three values. the probability that all three players obtain an odd sum is m/n, where m and n are relatively prime positive integers. find m n.

Answers

The value of m and n from the obtained probability is equal to 3 and 14 respectively.

As given in the question,

Nine tiles numbered 1, 2, .....9

Number of odd numbered tiles are 1,3,5,7,9 = 5

Number of even numbered tiles are 2,4,6,8 = 4

Number of players =3

Possibility to choose 3 tiles by first player out of 9 tiles = ⁹C₃

                                                                                            = 84 ways

Possibility to choose 3 tiles by second player out of 6 tiles = ⁶C₃

                                                                                                 =20 ways

Possibility to choose 3 tiles by third player out of 3 tiles = ³C₃

                                                                                             = 1 way

Total number of ways = 84× 20 ×1

                                     = 1680

To have a sum of 3 tiles is odd number at least one tile should be odd.

Chances of first player all the 3 tiles are 0dd out of 5 = ⁵C₃

Next two players must 2 even tiles and 1 odd tile.= ²C₁

One player can be selected in ³C₁ way

Remaining 4 even tiles distributed equally = (4!)(2!)/ (2!)² ( 2!)

Number of favourable outcomes =  ⁵C₃ × ²C₁ ׳C₁  × (4!)(2!)/ (2!)² ( 2!)

                                                       = 10 × 2 × 3 × 6

                                                       = 360

Probability (m/n) =  360 /1680

                            = 3/14

m = 3 and n = 14.

Therefore, from the probability that all three players obtain an odd sum is m/n , the value m = 3 and n = 14.

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If a cyclist rides at an average speed of 18 miles per hour, how many miles does she ride in seven hours?.

Answers

18x7=126 miles in total

If a cyclist rides at an average speed of 18 miles per hour then she ride 126 miles in seven hours.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

A cyclist rides at an average speed of 18 miles per hour.

We have to find the number of miles she ride in seven hours

Assume x be the number of miles she ride

Let us form a proportional equation

18/1 = x/7

Apply cross multiplication

18×7=x

126=x

Hence, if a cyclist rides at an average speed of 18 miles per hour then she ride 126 miles in seven hours.

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6 3/ 4 divide by 4 1/2

Answers

The value of the equation A = ( 6 3/4 ) / ( 4 1/2 ) is 3/2 or 1 1/2

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first number be A = 6 3/4

A = 27/4

Let the second number be B = 4 1/2

B = 9/2

Now , the equation is C = A/B

The value of C = A / B

Substituting the values of A and B in the equation , we get

Value of C = ( 6 3/4 ) /  ( 4 1/2 )

Value of C = ( 27/4 ) / ( 9/2 )

Value of C = ( 27 / 9 ) / 2

Value of C = 3 / 2

Therefore , the value of C is 3/2 or 1 1/2

Hence , The value of the equation A = ( 6 3/4 ) / ( 4 1/2 ) is 3/2 or 1 1/2

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(7, 5) and (8, 7). What is its equation in slope-intercept form?

Answers

slope-intercept form.
y
=
7
8
x

91
8

Answer:

y = 2x - 9

Step-by-step explanation:

The slope is the change in y over the change in x.  From the 2 points, the y's are 7 and 5.  The x's are 8 and 7.

[tex]\frac{7-5}{8-7}[/tex] = [tex]\frac{2}{1}[/tex] = 2

2 is the slope.

Now we need to find the y intercept (b).  Use one of the points on the line.  It does not matter which one.  I am going to use (8,7)

slope (m) = 2

x = 8

y = 7

y=mx + b

7 = 2(8) + b  Plug in what we know and solve for b

7 = 16 + b  Subtract 16 from both sides

-9 = b

The y intercept (b) is -9

y = mx + b

y = 2x -9

Suppose that a monopolistically competitive firm must build a production facility in order to produce a product. The fixed cost of this facility is FC = $24. Also, the firm has constant marginal cost, MC = $3. Demand for the product that the firm produces is given by P = 27- 3Q.
Fill in the entire table below. All of the numbers you fill in will be integers (no decimals), some have been added.
Quantity of Output Price Total Cost Average Total Cost Total Revenue Profits
1 2 3 4 5 7.8 6 7 6.4 8 9 5.7 B. How many units of output will the firm produce if it maximizes its profit?
C. What price should this firm charge if it wants to maximize its profit?

Answers

The output firm will get maximum profits when the quantity is 4 units and the company will charge a price of $15 for maximum profit.

The fixed cost of this facility is FC = $24. Also, the firm has constant marginal cost, MC = $3

Demand for the product that the firm produces is given by P = 27- 3Q.

The total cost is calculated by adding fixed cost and variable cost.

TC = FC + VC

Average total cost = total cost / quantity

Quantity  price (37 - 3Q) fixed cost variable cost  total cost average cost

1                27 - 3(1) = 24      24            3 (1)                 27             27

2               27 - 3(2) = 21      24            3(2) = 6           30            15

3                27 - 3(3) = 18      24            3(3) = 9           33            11

4               27 - 3(4) = 15       24           3(4) = 12          36             9

5               27 - 3(5) = 12       24           3(5) = 15          39            7.8

Upon analysing the table we can say that

B) the number of output units is 4

C) Maximum profit is when price is $15

Therefore, the maximum profit is when the output units is 4 and the company will charge a price of $15 for maximum profit.

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Find the radius of the cirlce

Answers

Answer:

R= 2sqrt(13) = about 7.2

Step-by-step explanation:

D^2= 12^2 + 8^2

 = 144+64=208

D=4sqrt(13)

R= D/2= 2sqrt(13)

a study of 1000 randomly selected flights of a major airline showed that 798 of the flights arrived on time.what is the probability of a flight arriving on time?

Answers

By using the concept of probability, it can be calculated that

Probability that the flight arrives on time =  [tex]\frac{399}{500}[/tex]

What is probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probability of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

Total number of flights = 1000

Number of flights arriving on time = 798

Probability that the flight arrives on time = [tex]\frac{798}{1000}[/tex]

                                                                   = [tex]\frac{399}{500}[/tex]

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Which expression is equal to (3x − 4)(2x − 5)?
-
O 3x²
-
23x - 20
O 6x² - 7x+20
O 6x²-23x+20
O 6x² - 23x - 20

Answers

c. 6x^2-23x+20 is the answer

If there are 39 students and 4 have blue eyes what is the fraction?

Answers

Answer:

  4/39

Step-by-step explanation:

You want to know the fraction of 39 students represented by the 4 that have blue eyes.

Fraction

The fraction is the ratio of the part of interest to the whole.

  (students with blue eyes)/(total number of students) = 4/39

would it be unusual for a random sample of 500 adult americans to result in 210 or more who believe marriage is obsolete?

Answers

Yes, it would be unusual for a  500 adult Americans to result in 210 or more who believe marriage is obsolete. The probability value is 0.39 for adult Americans.  

We know very well that probability is defined as the ratio of number of favorable outcomes to the total number of outcomes.

We have given that 39% american adults women believes that marriage is now obsolete.

So,39% of 500 adult American women is =[(39/100)×500]

                                                                     =39×5=195

So,probability of adult women who believes marriage is obsolete is =(195/500)=0.39

Now, we need to check that whether 210 women believes marriage is obsolete or not.

So, number of favorable outcome is 210 and total number of outcomes=500.

Therefore, probability of adult women who believes marriage is obsolete is=(210/500)=0.42

Now,we can see that 195 women probability is lower than 210 women probability. It means that more number of women considered marriage is obsolete.

Hence, yes it is unusual and the  probability value of adult Americans is 0.39

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(Complete question) is:

would it be unusual for a random sample of 500 adult americans to result in 210 or more who believe marriage is obsolete?If so determine the probability, otherwise type 0 for this result NOT to be unusual

Answer please! I couldn’t figure it out.

Answers

By solving a system of equations we will see that she sold 80 phones and 240 accessories.

How many phones and accessories were sold?

Let's define the variables:

x = number of phones.

y = number of accessories.

We know that she makes $160 on commissions, and that she sold 3 times as many accessories as phones, so we can write the system of equations:

y = 3x

x*$8 + y*$4 = $160

To solve the system, we can replace the first equation into the second one.

x*$8 + (3x)*$4 = $160

x*$8 + x*$12 = $160

x*$20 =  $160

x  = $160/$20 = 80

She sold 80 phones, and the number of accessories is:

y = 3x

y = 3*80 = 240

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The city council voted on a new tax. 63 council members voted in favor of the tax. The
council has 90 members. What percentage of the council members voted in favor of the tax?
Write your answer using a percent sign (%).

Answers

Answer: 70%

Step-by-step explanation:

select the first correct reason why the given series converges. a. convergent geometric series b. convergent p series c. comparison (or limit comparison) with a geometric or p series d. alternating series test e. ratio test

Answers

Because it diverges using a comparison test, the correct answer is an option (E).

What is a comparison test?

The comparison test, also known as the direct comparison test to distinguish it from other closely related tests, offers a method for determining whether an infinite series or an improper integral will converge or diverge.

The test is effective in both situations by contrasting the given series or integral with one whose convergence characteristics are known.

So, refer to the image attached below.

According to the image which has the reason for convergence and divergence, we know that the correct answer would be option (E).

The reason is the comparison test.

Therefore, because it diverges using a comparison test, the correct answer is an option (E).

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a number, y, is equal to twice the sum of a smaller number and 3. the larger number is also equal to 5 more than 3 times the smaller number. which equations represent the situation? 2 x minus y

Answers

The equations represent the given situation is:

2x - y = -6

3x - y = -5

where, x is the smaller number and y is the larger number.

Let the smaller number be x.

We have been given a number, y, is equal to twice the sum of a smaller number and 3

So, we get an equation,

y = 2(x + 3)

y = 2x + 6                        

2x - y = -6

The larger number is also equal to 5 more than 3 times the smaller number.

So, we get an equation,

y = 5 + 3x                        

3x - y = -5

Therefore, the equations represent the situation:

2x - y = -6

3x - y = -5

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E. Realiza las divisiones de polinomio

a) (15a²-a-28)÷(3a + 4) =

Answers

Given that the dividend is 15a²-a-28 and the divisor is 3a+4, the quotient will be 5a-7 and the remainder will be 0.

What is polynomial?

A multi-term algebraic statement is referred to as a polynomial. It contains exponents, coefficients, variables, constants, and arithmetic operators. It uses a polynomial long division algorithm to divide the polynomials. It is the long division technique in a more generalized form. In this method, a polynomial is divided by other polynomials of the same degree or lower. Synthetic division method is a simple and quick technique that is occasionally employed as well.

Here,

dividend=15a²-a-28

divisor=3a+4

remainder=0

15a²-a-28=(3a+4)(5a-7)

quotient=5a-7

The quotient will be 5a-7 and remainder will be 0 as dividend is 15a²-a-28 and divisor is 3a+4.

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Describe the relationship between the lines.
1. The lines intersect to form an angle that is 180°
2. The lines intersect to form an angle that is 90°
3. The lines do not intersect.
4. The lines intersect to form an angle that is not 90°

Answers

The answer is 3. They do not touch.

Evaluate the expression for n = 2 and p = –6.

np + n =

Answers

Answer: -10

Step-by-step explanation:

Substitute the numbers in for the variables.

np + n = (2)(-6) + 2

-12 + 2

-10

The question is below! Will mark brainliest! Best answer!

Answers

Answer: 315 children and 15 adults

Step-by-step explanation:

15 x 21 = 315
315 + 15 = 330
c = 315
a = 15

A bucket can hold a total of 5 gallons of water. If the bucket is 9/20 full, how much water is in the bucket?

Answers

Answer:2.25 gallons

Step-by-step explanation:

PROBLEM SOLVING A train travels from Orlando to Miami, and then back to Orlando. The table shows the numbers of tickets purchased for each leg of the trip. The cost per ticket is the same for each leg of the trip. Is there enough information to determine the cost of one coach ticket?

Answers

Answer:

Step-by-step explanation: 10.75

(a) what was the average newspaper circulation from 1986 through 2000. (round your answer to three decimal places.) 557.680 incorrect: your answer is incorrect. million newspapers (b) in what year was the newspaper circulation closest to the average circulation from 1986 through 2000? (round your answer up to the nearest integer.)

Answers

The year becomes 1993, when the newspaper circulation is closest to the average circulation.

Part a:

The function is n(x)=0.00792x^3−0.37x^2+3.557x+51.588

The formula for the average of the function is 1b−a∫baf(x)dx

The year 1986 corresponds to 6 and 2000 corresponds to 20 as x is the number of years since 1980.

Obtain the average:

1b−a∫baf(x)dx==≈1/20−6∫20-6[0.00792x^3−0.37x^2+3.557x+51.588]dx

1/14[0.00792x^4/4−0.37x^3/3+3.557x^2/2+51.588x]20-6

51.70094

Therefore, the average newspaper circulation from 1986 to 2000 was 51.70094.

Part b:

Now, the equation is obtained as

0.00792x^3−0.37x^2+3.557x+51.588=51.70094

0.00792x^3−0.37x^2+3.557x−0.11294=0

Obtain the value of x using an online graphing calculator as follows:

Thus, the value of x becomes 13.481

Hence, 1993 is the year of the closest average circulation

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A store manager would like to set the three-digit code of the store's new safety vault. How many possible 3-digit code choices does he have if he can pick digits from 0 to 9 with repetition allowed?.

Answers

Answer: 270 I think

Step-by-step explanation:

try it you can get this right

Select the price per unit in blanks a. And b, and choose which is the best buy. A. Tomato juice, 46 oz. Can for $2. 53 would = b. Tomato juice, 6-pack of 10 oz. Cans for $4. 50 would = c. The best buy would be.

Answers

The first deal in which 1 can costs $0.055, is the best buy as it costs $0.020 less than the second deal in which 1 can costs $0.075.

Given, A Tomato juice 46 oz. Cans cost $2. 53

B Tomato juice 6-pack of 10 oz. Cans costs $4. 50

we have to find the best buy between the given two.

In first case,

46 cans cost $2.53

46 cans = $2.53

1 can = 2.53/46

1 can costs $0.055

In second case,

60 cans cost $4.50

60 cans = $4.50

1 can = 4.50/60

1 can costs $0.075

So, it is clear that first deal in which 1 can costs $0.055, is the best buy as it costs $0.020 less than the second deal in which 1 can costs $0.075.

Hence, the first deal in which 1 can costs $0.055, is the best buy as it costs $0.020 less than the second deal in which 1 can costs $0.075.

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y is five times X +15

Answers

X+15•5y
hope this helps

what fraction of seven number combinations formed used the numbers of the patter 3795523 will have the 2 3's always together

Answers

By using the concept of permutation, it can be calculated that

Fraction of seven number combinations formed used the numbers of the pattern 3795523 will have the two 3's always together = [tex]\frac{360}{1260}[/tex]

                                                                                          = [tex]\frac{2}{7}[/tex]

What is permutation?

Permutation is the arrangement technique that determines how many possible arrangement that can be made in a set where the order of arrangement matters.

Here, concept of permutation is used

Number of 7 number combinations that can be formed using the number 3795523 = [tex]\frac{7!}{2! \times 2!}[/tex] = 1260

The two 3's are always together

Number of 7 digit numbers formed = [tex]\frac{6!}{2!}[/tex] = 360

Fraction of seven number combinations formed used the numbers of the pattern 3795523 will have the two 3's always together = [tex]\frac{360}{1260}[/tex]

                                                                                          = [tex]\frac{2}{7}[/tex]

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The weight (in pounds) and height (in inches) for a child were measured every few months over a two-year period. The results are given in the table.

A 2-column table with 9 rows. Column 1 is labeled Weight (x) with entries 8, 12, 18, 24, 30, 32, 35, 37, 40. Column 2 is labeled Height (y) with entries 22, 23, 26, 30, 32, 33, 35, 36, 38.

Using technology, what is the correlation coefficient?

–0.997
–0.503
0.503
0.997

Answers

Using technology, the correlation coefficient is 0.997

How to calculate correlation coefficient?

We should know that correlation coefficient is a statistical model which is used to determine or measure the relationship between two variables.

The table is

                            x               y              x²            y²             xy

                          8              22             64          484            176

                         12              23            144          529            276

                         18             26             324         676           468

                         24             30            567         900         720

                          30           32              900        1024         960

                        32              33              1024     1089         1056

                         35             35             1225       1225         1225

                          37             36            1369        1369         1332

                          40             38           1600         1444         1520

    Total          236           275          7226         8740        7733

[tex]r= \frac{nExy)-(Ex)(Ey)}{\sqrt{[n(EX^{2}][nEy^{2}(Ey)^{2} } }[/tex]

applying the figures from the table we have

r=[tex]\frac{9*7733-(236)(275)}{\sqrt{[9*7226-55696][9*8740-75625]} }[/tex]

Simplifying the expression we have

r=[tex]\frac{4697}{\sqrt{28340830} }[/tex]

r=0.88

r=0.9 approximately

Therefore the correct answer is 0.997 which is the correlation coefficient.

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