is this a function ? ​

Is This A Function ?

Answers

Answer 1

Answer:

No

Step-by-step explanation:

For the relation to be a function

Each value of x from the domain ( values on left ) must map to exactly one unique value of y in the range ( values on the right )

Here x = 0 → 0 and 1 ( that is 2 values from the range )

Thus this does not represent a function


Related Questions

Elijah has 5 United states coins ranging in value from $0.01 to $0.25. What is the least amount of money Elijah can have if he has no more than 2 coins alike

Answers

Answer:

2 pennies 2 nickels and a dime 22 cents

what the range set of blank means​

Answers

Answer:

The range of a set of data is the difference between the highest and lowest values in the set

Step-by-step explanation:

Answer:

point blank range is the range at which you don’t need to aim high or low to hit your aiming point. Maximum Point Blank Range (MPBR) is simply the farthest end of that distance.

Step-by-step explanation:

The top of the lid to a small container is in the shape of a square with a side length of 6 centimeters, as shown. What is the area of
the top of the lid?
6 cm
Use the formula for the area of a square, A - 52, where A represents the area and s represents the side length.
12 cm²
24 cm²
36 cm²
72 cm²​

Answers

Answer:

c.)36

Step-by-step explanation:

Answer:

36 cm

Step-by-step explanation:

The area of a square is length times width. Since it is a square all sides are equal so you multiply 6×6.

Formula: A=s^2 or A=s×s

Renee is playing a game online. If she gets a total of 25 points, she will have a new
high score. She currently has -5 points. What is the difference
score of 25 points and the number of points she currently has?

Answers

Answer:

20 points

Step-by-step explanation:

key words: difference

Take the amount of points she has and subtract what she has

25-5

) Ava walks from her apartment to the train station, which is 25 blocks away. She has walked
15 blocks so far. Ava wants to know what percent of the distance to the train station she
has walked so far.

Answers

Final answer:

To find out what percent of the distance Ava has walked so far, we can set up a proportion and solve for x. Ava has walked 60% of the distance to the train station.

Explanation:

To find out what percent of the distance Ava has walked so far, we can set up the following proportion:

15/25 = x/100

Where 15 is the distance Ava has walked, 25 is the total distance to the train station, x is the unknown percentage, and 100 represents 100%. To solve for x, we can cross multiply and divide:

15 * 100 = 25 * x

1500 = 25 * x

Dividing both sides by 25, we get:

x = 1500/25

x = 60

Therefore, Ava has walked 60% of the distance to the train station.

Final answer:

To find the percent of the distance Ava has walked so far to the train station, divide the distance she has walked by the total distance and multiply by 100. In this case, Ava has walked 15 blocks out of 25 blocks, so she has walked 60% of the distance.

Explanation:

To find the percent of the distance Ava has walked so far, you can divide the distance she has walked by the total distance to the train station and then multiply by 100.

In this case, Ava has walked 15 blocks out of 25 blocks to the train station. So, the percent of the distance she has walked so far can be calculated as:

Percentage = (15/25) * 100 = 60%

A computer and printer cost a total of $1028. The cost of the computer is three times the cost of the printer. Find the cost of each item.

Answers

Answer:

Printer: $257, Computer: $771

Step-by-step explanation:

First you want to make a part to part diagram. It sounds stupid at first but trust me it works, We assume the both have the same amount. Now we draw 3 boxes for printer because it is 3 times as much. Now we have 4 boxes. divide 1028 by 4 and get 257. That is the amount for each box. You now know the printer is 257 dollars. Now multiply that by 3 to find cost of printer. 257x3=771.

Now you know the computer cost 771 dollars. You can check your work by adding them up. Hope this helped!!!!

Printer | []

Computer| [] [] []

Increase 1/2kg by 250g

Answers

One kilogram is made of 1000 grams. So, 1/2kg is made of 500 grams. If we add 250 grams, we have 750 grams, or 0.75kg.

To increase 1/2 kg by 250g, add the two values is 750g.

In mathematics, we often encounter situations where we need to perform operations with different units of measurement. In this case, you want to increase 1/2 kg by 250g. The first step is to convert both quantities to a common unit to facilitate the addition.

Step 1: Convert 1/2 kg to grams

We know that 1 kg is equal to 1000 grams (1 kg = 1000g). To find out how many grams are in 1/2 kg, we multiply 1/2 by 1000:

1/2 kg * 1000g/kg = 500g.

So, 1/2 kg is equivalent to 500g.

Step 2: Perform the addition

Now, we have both quantities in the same unit (grams). The addition becomes straightforward:

500g + 250g = 750g.

Thus, when you increase 1/2 kg by 250g, the result is 750 grams.

In summary, to add quantities with different units, it's crucial to convert them into the same unit before performing the operation. Here, we converted kilograms to grams and then added the values to get the final result of 750g.

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The product of a whole number and a decimal number is a whole number

True or False?

Answers

Answer:

true

Step-by-step explanation:

radius CS bisects chord AG what is measure CGF?

Answers

Answer:

m∠CGF=25°

Step-by-step explanation:

we know that

In a circle, a radius that bisects a chord is perpendicular to the chord

so

CS is perpendicular to AC

The triangle GFC is a right triangle

Remember that the sum of the measures of the interior angles in a triangle must be equal to 180 degrees

m∠CGF+m∠GFC+m∠GCF=180°

we have

m∠GFC=90°

m∠GCF=65°

substitute

m∠CGF+90°+65°=180°

m∠CGF+155°=180°

m∠CGF=180°-155°

m∠CGF=25°

A baker’s dozen (13) of cookies is on sale for $2.08.

Answers

So taking this as if there are 13 dozens of cookies. First we do 13 times 12 which would be 156 cookies in total. Then 156 cookies times 2.08 is 324.48

Complete Question

A baker's dozen (13) of cookies is on sale  for $2.08. What is the cost of an individual  cookie?

Answer:

The cost of an individual cookie is $0.16

Step-by-step explanation:

Given

Specifically, it was stated that the baker's dozen is 13 pieces

Hence. A dozen cookies = 13 cookies

Price of a dozen cookies = $2.08

In other words, the price of 13 cookies is $2.08

To get the cost of an individual cookie, we have to divide the price of a dozen cookies by the number of cookies. This is calculated as follows:

[tex]Cost of Cookies = \frac{Price of Cookies}{Number of Cookies}[/tex]

By Substituting the right values,

[tex]Cost of Cookies = \frac{Price of Cookies}{Number of Cookies}[/tex]  

becomes

[tex]Cost of Cookies = \frac{2.08}{13}[/tex]

[tex]Cost of Cookies = 0.16[/tex]

Hence, the cost of an individual cookie is $0.16

Samantha cut 6 3/4 yd of yarn into
3 equal pieces. Explain how she could use mental
math to find the length of each piece.

Answers

Answer:

27/12

Step-by-step explanation:

6 3/4=27/4

(27/4)/3

(27/4)(1/3)=27/12

DOES ANYONE KNOW HOW TO DO THIS??????????? NEED HELP QUICK!!!!!!!!

Answers

Answer:

1. Figure 4

2. Figure 2

3. Figure 4

Answer:

1. Figure 2

2. Figure 3

3. Figure 1

Step-by-step explanation:

Brainlest?

For trapezoid ABCD, E and F are midpoints of the legs. Let GH be the median of ABFE. Find GH.​

Answers

Answer:

Option 4 : 19

Step-by-step explanation:

For trapezoid ABCD : AB = 16 and CD = 28

E and F are midpoints of the legs

So, EF = (AB + CD)/2 = (16+28)/2 = 44/2 = 22

GH be the median of ABFE

So, GH = (AB + EF)/2 = (16+22)/2 = 38/2 = 19

How many roots can a quadratic equation have

Answers

Answer:

2 roots, 1 root, or no roots

Step-by-step explanation:

There is a maximum of two roots

If the maximum or minimum is on the x-axis there is 1 repeated root

The roots are imaginary if it does not touch the x-axis

Step-by-step explanation:

It all depends on the discriminants sign.

The quadratic equation:

[tex]ax^2+bx+c=0[/tex]

The discriminant:

[tex]\Delta=b^2-4ac[/tex]

If Δ < 0, then the equation has no real solution

If Δ = 0, then the equation has one solution [tex]x=\dfrac{-b}{2a}[/tex]

If Δ > 0, then the equation has two different solution

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

16 factory workers made 40 pieces in a certain amount of time. How many workers are needed to make (1) 20, (2)25 and (3)100 pieces in the same amount of time, assuming each worker works at the same rate?

Answers

1. 40 units___16 workers

20 units___x= 8 workers

(20*16)/40=8

2. 40 units___16 workers

25 units___x= 10 workers

(25*16)/40=10

3. 40 units___16 workers

100 units___x= 40 workers

(100*16)/40=40

Step-by-step explanation:

1. 40 units: 16 workers    2. 40 units: 16 workers

   20 units: 8 workers          25 units: 10 workers

(20 x 16) /40= 8 workers       (25 x 16) /40= 10 workers

3. 40 units: 16 workers

  100 units: 40 workers

(100 x 16) / 40= 40 workers

Mark Me Brainliest!!

Please Help !!!!!!!!!!!!!!!!

Answers

Answer:

the first one should be 2 because

if you put 2 it would look like this:

7x + 2 = 7x + 2

and if you answer it or try to simplify

7x + 2 = 7x + 2            or                7x + 2 = 7x + 2

    - 2           - 2                              -7x         -7x

7x = 7x                                                   2 = 2

/7      /7

x = x

and for the second one could be any number but 2

to prove this lets choose 5

and now to solve:

7x + 2 = 7x + 5          or                7x + 2 = 7x + 5

-7x          -7x                                       - 2           - 2

2 ≠ 5                                             7x = 7x + 3

                                                    -7x    -7x

                                                      0 ≠ 3

Complete the solution of the equation. Find
the value of y when x equals -8.
7x - 2y = -52
Enter the correct answer,

Answers

y=-2 is the correct answer

Answer:

y = -2

Step-by-step explanation:

to do this, you have to plug in -8 for x

7(-8) - 2y = -52

-56 - 2y = -52

+56          +56

-2y = 4

/-2     /-2

y = -2

Sylvia ran 3km 290m in the morning then she ran some more in the evening if she ran a total of 10km how far did Sylvia run in the evening

Answers

Answer:

She ran 6.71km in the evening

Step-by-step explanation:

3km 290m = 3.29km

10 - 3.29 = 6.71km

Sylvia ran 6 km 710 m in the evening.

Given that, Sylvia ran a total of 10 km and 3 km 290 m in the morning.

We need to find the number of kilometres she ran in the evening.

What to subtract the two differnt units?

When we are dealing with two numbers that are expressed in units, if the units are the same, we can add or subtract normally. However, if the units are different, then we can add or subtract only if the units can be converted into the same units.

Now, 3 km 290 m can be written as 3.29 km

So the distance ran in the evening =10-3.29

=6.71 km

=6 km 710 m

Therefore, Sylvia ran 6 km 710 m in the evening.

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need some help with this question : When driving to their family reunion, River's mom drove 10 miles at a rate of x mph and then 25 miles at a rate of x + 10 mph . The total driving time was 45 minutes. What were the two driving speeds at which River's mom drove?

Answers

Answer:

The speed of River's mom drove for 10 miles distance is 0.234 mph

The speed of  River's mom drove for 25 miles is 10.234 mph  

Step-by-step explanation:

Given as :

The first distance cover by River's mom = 10 miles

The rate of speed = x mph

The second distance cover by river's mom = 25 miles

The rate of speed = x + 10 mph

The total driving time = 45 min

Now, According to question

Time = [tex]\dfrac{\textrm Distance}{\textrm speed}[/tex]

So, 45 = [tex]\dfrac{10}{x}[/tex] +  [tex]\dfrac{25}{x + 10}[/tex]

Or, 9 = [tex]\dfrac{2}{x}[/tex] +  [tex]\dfrac{5}{x + 10}[/tex]

Or, 9 × x × ( x + 10 ) = 2 × ( x + 10 ) + 5 x

Or, 9 x² + 90 x = 2 x + 20 + 5 x

Or, 9 x² + 90 x = 7 x + 20

Or, 9 x² + 90 x - 7 x - 20 = 0

Or, 9 x² + 83 x - 20 = 0

Solving this quadratic equation

x = [tex]\frac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}[/tex]

Or, x = [tex]\frac{-83\pm \sqrt{83^{2}-4\times 9\times (-20)}}{2\times 9}[/tex]

Or, x = [tex]\frac{-83\pm \sqrt{7609}}{18}[/tex]

∴  x = [tex]\frac{-83+87.22}{18}[/tex] , tex]\frac{-83-87.22}{18}[/tex]

I.e x = 0.234 , - 9.4567

We consider x = 0.234

So, The speed for 10 miles distance = x = 0.234 mph

and The speed of 25 miles = x + 10 = 0.234 + 10 = 10.234 mph

Hence The speed of River's mom drove for 10 miles distance is 0.234 mph

and The speed of  River's mom drove for 25 miles is 10.234 mph   Answer

Final answer:

To find the two driving speeds, use the distance formula and set up two equations. Simplify the equations to find the speeds.

Explanation:

To find the two driving speeds at which River's mom drove, we can use the formula distance = speed x time. We know that the total driving time was 45 minutes. We can set up two equations using the given information:

10 = x ⋅ (45/60)

25 = (x + 10) ⋅ (45/60)

Simplifying the equations, we get:

x = 20 mph

x + 10 = 30 mph

Therefore, River's mom drove at speeds of 20 mph and 30 mph.

Which expression shows 56x+40y−48z written as a product of the greatest common factor and one other factor?


A
8(7x+5y−6z)
B
8(7x+5y+6z)
C
8x(7+5y−6z)
D
4(14x+10y−12z)

Answers

Final answer:

The expression 56x+40y−48z can be rewritten as a product of the greatest common factor and one other factor, which is 8(7x+5y−6z). Therefore, the correct answer is A.

Explanation:

The expression 56x+40y−48z can be factored by identifying the greatest common factor (GCF). In this case, the GCF of 56, 40, and 48 is 8. Therefore, you divide each term in the expression by the GCF which will give you 7x+5y-6z. Hence, the expression can be rewritten as a product of the GCF and one other factor, which is 8(7x+5y−6z). So, the correct answer is A - 8(7x+5y−6z).

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The lengths of the sides of a quadrilateral are in extended ratio 1:1:2:3. the perimeter is 56 feet what are the lengths of the sides

Answers

Length of sides of quadrilateral are 8 feet, 8 feet, 16 feet, 24 feet

Solution:

Given that length of the sides of a quadrilateral are in extended ratio 1:1:2:3

Perimeter of the quadrilateral = 56 feet

Need to determine length of the sides

As length of the sides of a quadrilateral are in extended ration 1: 1: 2: 3  

lets assume that four sides of rectangle = 1x, 1x, 2x and 3x

Perimeter of quadrilateral = sum of length of four sides  

=> Perimeter of quadrilateral = 1x + 1x + 2x + 3x = 7x

As given that perimeter = 56 feet

=> 56 = 7x

x = 8

Then the length of sides are:

1x = 1(8) = 8 feet

1x = 1(8) = 8 feet

2x = 2(8) = 16 feet

3x = 3(8) = 24 feet

Antonia participated in a run-a-thon and raised $265 for her school. She received $25 in donations and an additional $8 for every lap she ran. How many laps did Antonia run?

Answers

Answer:

30

Step-by-step explanation:

The table shows the gallons of water in a pool over time.

A two column table with six rows. The first column, Time in minutes, has the entries, 0, 1, 2, 3, 4, 5. The second column, Water in Pool in gallons, has the entries, 50, 44, 38, 32, 26, 20.

Choose the term that describes the slope of the line of a graph representing the data in the table.

The slope of a line graphed to represent the volume of water in a pool over time would be described as .

Answers

Answer:

negative

Step-by-step explanation:

The slope of a line graphed to represent the volume of water in a pool over time will be 6 and the equation of the line representing the table

y = - 6x + 50

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

We have a table as given in the question as follows -

Time (in minutes)         Water (in gallons)

0                                         50

1                                          44

2                                         38

3                                         32

4                                         26

5                                         20

We can write the slope of the line as follows -

The slope of the line will be -

m = (y₂ - y₁)/(x₂ - x₁)

m = (44 - 50)/(1 - 0)

m = -6

At [x] = 0, the [y] coordinate is 50. Therefore, the equation of the line representing the table -

y = - 6x + 50

Refer to the graph attached.

Therefore, the slope of a line graphed to represent the volume of water in a pool over time will be 6 and the equation of the line representing the table y = - 6x + 50

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onsider the function f(x)=−2/3x+2 . What is f(1/2) ?

Answers

Answer:5/3

Step-by-step explanation: plug in 1/2 for x

Answer

ITS A (–∞, –3)

Step-by-step explanation:

find the answer to this problem 15/16 - -3 / 16​

Answers

Answer:

The answer would be 18/16 or 1 1/8.

Mrs.Young’s recipe for haggis calls for 2 1/4 cups of stock and serves 12. How much stock will she need to make 4 servings of haggis?

Answers

Answer:

byzantine style of architecture is an example of haggis sophias style

Step-by-step explanation:

Final answer:

To find out how much stock is needed for 4 servings of Mrs. Young's haggis recipe, we use proportional relationship calculations to arrive at 3/4 cup of stock.

Explanation:

The student needs to determine how much stock Mrs. Young will need for 4 servings of her haggis recipe if the original recipe, which serves 12, calls for 2 1/4 cups of stock. To solve this, a proportional relationship can be used, as follows:

Multiply the number of servings in the original recipe by the amount of stock to find the stock per serving.

Divide the original number of servings (12) from the result to find the stock needed for one serving.

Multiply the amount of stock for one serving by the new number of servings (4) to determine the total stock needed.

The calculation would be: (2 1/4 cups ÷ 12 servings) × 4 servings. Since 2 1/4 cups is equal to 9/4 cups, the arithmetic gives us: (9/4 cups ÷ 12) × 4 = 3/4 cup of stock needed for 4 servings.

helpppppp me plssss ​

Answers

Answer: B

Step-by-step explanation:

Slope = rise/run (aka change in y/change in x)

Slope = (-9-(-9.75))/(-4-(-1)) = 0.75/-3 = -1/4

Which of the following is equivalent to 18 -sqrt -25?

Answers

[tex]\bf 18-\sqrt{-25}\implies 18-\sqrt{-1\cdot 25}\implies 18-\sqrt{-1}\cdot \sqrt{25}\implies 18-5i[/tex]

Answer: 18-5i

Step-by-step explanation:

The royal fruit company produces two type of fruit drinks. The first type is 70% pure fruit juice , and the second type is 95% pure fruit juice. The company is attempting to produce a fruit drink that contains 80% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 110 pints of a mixture that is 80% pure fruit juice

Answers

Answer:

66 pints of 70% pure fruit juice and 44 pints of 95% pure fruit juice must be used.

Step-by-step explanation:

Let

x ----> pints of pure fruit juice at 70%

y ----> pints of pure fruit juice at 95%

we know that

[tex]x+y=110[/tex] ----> [tex]x=110-y[/tex] ----> equation A

Remember that

[tex]70\%=70/100=0.70[/tex]

[tex]95\%=95/100=0.95[/tex]

[tex]80\%=80/100=0.80[/tex]

so

[tex]0.70x+0.95y=0.80(110)[/tex] ----> equation B

Solve the system by substitution

substitute equation A in equation B

[tex]0.70(110-y)+0.95y=0.80(110)[/tex]

solve for y

[tex]77-0.70y+0.95y=88[/tex]

[tex]0.25y=88-77[/tex]

[tex]0.25y=11[/tex]

[tex]y=44[/tex]

Find the value of x

[tex]x=110-y[/tex] ---> [tex]x=110-44=66[/tex]

therefore

66 pints of 70% pure fruit juice and 44 pints of 95% pure fruit juice must be used.

At which values of x does the graph of the function F(x) have a vertical asymptote? Check all that apply f(x)=1/(x+1)(x+2)

Answers

Answer:

x=-1 and x=-2

Step-by-step explanation:

Given

[tex]f(x)=\dfrac{1}{(x+1)(x+2)}[/tex]

This function is undefined when the denominator becomes 0. Find values of x for which the denominator is 0:

[tex](x+1)(x+2)=0\\ \\x+1=0\ \text{or}\ x+2=0\\ \\x=-1\ \text{or}\ x=-2[/tex]

Thus, the lines with equations [tex]x=-1[/tex] and [tex]x=-2[/tex] represent vertical asymptotes (see attached graph)

Answer: -1 and -2

Step-by-step explanation:

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In a galvanic cell,a oxidation occurs at the (name of electrode)b.the cathode is the (sign) electrodec.cations flow in solution toward the (name of electrode)d.electrons flow from the (name of electrode) to (name of electrode) Uncle Smiley is heterozygus for a yellow face, married a woman with a green face.Both of them always wanted a large family! If they were to have 12 children, what are the probability that the children would have yellow faces? How many would have green faces? Create a Punnett square to help you find your answer Correctly complete each conjugation of the verb or.yo oot oesl, ella, usted oenosotros(as) omosvosotros(as) osellos(as), ustedes oen Find the volume of a sphere with a radius of 100yd . Express your answer in terms of pi. Becky has a $24,000 basis in her partnership interest. She receives a current distribution of $4,000 cash, unrealized receivables with a basis of $12,000 and an FMV of $16,000, and land held as an investment with a basis of $3,000 and an FMV of $8,000. The partners' relative interests in the Sec. 751 assets do not change as a result of the current distribution. The basis of her partnership interest following the distribution is ____. Bertha met two students from another school at a convention. She enjoyed their company a great deal and was very impressed with how nice they were. Bertha now believes that all of the students from that school must also be nice and is considering transferring there. Bertha is using _____.a) inductive reasoningb) deductive reasoningc) critical thinkingd) descriptive reasoning A scheduling system for minimizing inventory by having components arrive exactly at the moment they are needed and finished goods shipped as soon as they leave the assembly line best describes a ________ strategy What are some examples of banking products and services? -10x+9x=12 solve for x equation Elaine found out that most brands of maple syrup in her country have artificial flavors. So she and her sister set up a small company to produce organic maple syrup. She hired a few food experts and workers to collect sap from maple trees. She also hired a supplier to make bottles for the syrup. Before entering the market, Elaine met with a number of her competitors to understand their reaction to her product. Which economic question did she fail to consider?A. What products should we make?B. How should we produce them?C. Who should receive the goods and services?D. Elaine considered all economic questions. 9. In complete sentences, determine what effects this kind of move might have had on a Native American tribe and its social development, that is, on its life as a tribe? (2 points) Make contact with a sales manager, ask him/ her about their ethical selling practices and report your findings. You may want to ask if the firm has: a. a code of ethics in place b. an ethics committee c. a policy on giving and receiving gifts d. procedures for dealing with whistle-blowing Why was sigmund freud trained as a medical doctor and not a psychologist? Which is a key feature of Renaissance paintings?A.They are often made in tempera paint.B. They often have a solid color for a background.C. They have perspective and depth. Use the definition of the derivative to find an expression for the instantaneous velocity of an object moving with rectilinear motion according to the given function relating s (in ft) and t (in s). Then calculate the instantaneous velocity for the given value of t. s = 8t + 19; t=4 (Simplify your answer) For laws against shoplifting, pick at least one of the four grounds for justificationlegal moralism, the harm principle, legal paternalism, and the offense principleand construct an argument designed to justify the law. You may not agree either with the law or with the argument; the exercise is to see if you can connect the law to the (allegedly) justifying principle. Help please I really need help I need it right now show work please Why is the participation of young invincibles important to the success of the aca health insurance marketplaces? Suppose you begin a job with an annual salary of $32,900. Each year you are assured of a 5.5% raise. What its the total amount that you can earn in 15 years? A)$34,815 B)$51,751 C)$737,245 D)$1,682,920 Suppose you perform an ANOVA on 18 subjects divided evenly into three groups according to age. Reading speed is measured and averaged for each of the three groups. The reading speed for the Young Group is 10; for the Middle Group, 12; and for the Older Group, 13. Your F-obtained is 9.15. This is a significant F-obtained. Which of the following is the correct way to report this finding? A. The Older Group reads significantly faster than any other group. B. The Young Group reads significantly faster than any other group. C. There is a significant difference between the Older Group and the Middle Group. D. There is a significant difference among the reading speeds somewhere.