Hi, can you help me answer this question please, thank you!

Hi, Can You Help Me Answer This Question Please, Thank You!

Answers

Answer 1

You want to test the claim that the average number of miles driven on this tire before needing to be replaced is greater than 50500 miles.

Remember that the null hypothesis is usually associated with just ‘equals to’ sign as can either be accepted or rejected.

Then the correct null hypothesis is:

\(H_0\colon\mu=50500miles\)

And the alternative hypothesis is the hypothesis that the researcher tries to prove, then the correct alternative hypothesis is:

\(H_a\colon\mu>50500\text{ miles}\)


Related Questions

Graph that line with slope -1 passing through the point (-2,4)

Answers

Answer:

To graph the line with slope -1 passing through the point (-2,4), we can use the point-slope form of the equation of a line, which is:

y - y1 = m(x - x1)

where m is the slope of the line, and (x1, y1) is the given point on the line. Substituting the given values, we get:

y - 4 = -1(x - (-2))

Simplifying this equation, we get:

y - 4 = -x - 2y = -x + 2

Now we can graph this line by plotting the given point (-2,4), and then using the slope of -1 to find one or more additional points on the line. We can do this by starting at the given point and then moving one unit down (since the slope is negative) and one unit to the right (since the slope is -1). This gives us the point (-1,3). We can then connect these two points to graph the line.

GRAPHICAL REPRESENTATION:

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Graph that line with slope -1 passing through the point (-2,4)

Tell whether the shape appears to have zero lines, 1 line, or more than 1 line of symmetry. Select zero, 1, or more than 1. There is/are ? line(s) of symmetry.​

Tell whether the shape appears to have zero lines, 1 line, or more than 1 line of symmetry. Select zero,

Answers

Answer:

This Symbol has 4 lines of Symmetry

You lease a car at $23,495 for 3 years at $429.95 a month with a $500 down payment. The interest is 30% of the payments and $4,643.46 in interest is paid over 3 years. What is the remaining balance when the lease ends? How did you arrive at $12,160.26?​

Answers

Answer:

Step-by-step explanation:

total interest paid is given as $4,643.46.

total payments = $429.95 x 36 months = $15,478.20

total lease payments = total payments - total interest

total lease payments = $15,478.20 - $4,643.46 = $10,834.74

Remaining balance = Total cost of the lease - Total lease payments

$23,495 - $10,834.74 = $12,660.26

Use the figure to answer the questions.
(a) Describe the relationship among the lengths of the segments formed by two secants. You may use words and/or and equation.
(b) Suppose CG = 3 in, CH = 2 in, and GE = 5 in, is it possible to find the length of DH? If so, show how to find the length. If not, explain why not.

Help would be appreciated!

Use the figure to answer the questions.(a) Describe the relationship among the lengths of the segments

Answers

Based on the intersecting secants theorem:

a. CG*CE = CH*CD

b. length of DH = 10 in.

What is the Intersecting Secants Theorem?

When an exterior point is formed by two secant segments to a circle, the product of the length of one secant segment and its external segment will always be equal to the product of the length of the other secant segment and its external segment, according to the intersecting secants theorem.

a. Based on the intersecting secants theorem, the relationship that describes the lengths of the segments formed by the two secants is:

CG*CE = CH*CD

b. Given the following lengths:

CG = 3 in, CH = 2 in, and GE = 5 in

CE = CG + GE = 3 + 5 = 8 in.

CD = CH + DH = 2 + DH

Substitute into CG*CE = CH*CD:

3*8 = 2*(2 + DH)

24 = 4 + 2DH

24 - 4 = 2DH

20 = 2DH

20/2 = DH

DH = 10 in.

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Two figures are said to be SIMILAR if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal. This common ratio is called the scale factor.

Each pair of figures is similar. Find the value of the missing side (x). Round your answer to the nearest tenth if necessary.

Two figures are said to be SIMILAR if they are the same shape. In more mathematical language, two figures

Answers

Answer:

4.9 in

Step-by-step explanation:

6/11 = x/9

6/11 times 9 = x

x = 4.9

Diện tích xung quanh của hình chóp tứ giác đều có cạnh bằng 6cm và độ dài trung đoạn bằng 10cm là:
A. 120 cm2 B. 240 cm2 C. 180 cm2 D. 60 cm2

Answers

Answer:

A

Step-by-step explanation:

(6.2).10=120cm²

Đáp án đó chúc bạn học tốt

Need help with proofs, anyone know how?

Need help with proofs, anyone know how?

Answers

Segments MS and QS are therefore congruent by the definition of bisector. Therefore, the correct answer option is: D. MS and QS.

What is a perpendicular bisector?

In Mathematics and Geometry, a perpendicular bisector is a line, segment, or ray that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.

This ultimately implies that, a perpendicular bisector bisects a line segment exactly into two (2) equal halves, in order to form a right angle that has a magnitude of 90 degrees at the point of intersection.

Since line segment NS is a perpendicular bisector of isosceles triangle MNQ, we can logically deduce the following congruent relationships;

MS ≅ QSNS ≅ RSMN ≅ QN ∠NMS and ∠NQSΔMNS ≅ ΔQNS

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Complete Question:

The proof that ΔMNS ≅ ΔQNS is shown. Given: ΔMNQ is isosceles with base MQ, and NR and MQ bisect each other at S. Prove: ΔMNS ≅ ΔQNS

We know that ΔMNQ is isosceles with base MQ. So, MN ≅ QN by the definition of isosceles triangle. The base angles of the isosceles triangle, ∠NMS and ∠NQS, are congruent by the isosceles triangle theorem. It is also given that NR and MQ bisect each other at S. Segments _____ are therefore congruent by the definition of bisector. Thus, ΔMNS ≅ ΔQNS by SAS.

NS and NS

NS and RS

MS and RS

MS and QS

Merone Company allocates materials handling cost to the company's two products using the below data:

Modular Homes Prefab Barns
Total expected units produced 5,900 8,900
Total expected material moves 590 190
Expected direct labor-hours per unit 790 290

The total materials handling cost for the year is expected to be $325,890.

If the materials handling cost is allocated on the basis of material moves, the total materials handling cost allocated to the modular homes is closest to: (Round your intermediate calculations to 2 decimal places.)

Multiple Choice

$246,507.90

$160,629.00

$213,514.00

$238,382.50
Merone Company allocates materials handling cost to the company's two products using the below data:

Modular Homes Prefab Barns
Total expected units produced 6,000 9,000
Total expected material moves 600 200
Expected direct labor-hours per unit 800 300

The total materials handling cost for the year is expected to be $300,000.

If the materials handling cost is allocated on the basis of direct labor-hours, the total materials handling cost allocated to the prefab barns is closest to: (Round your intermediate calculations to 2 decimal places.)

Multiple Choice

$105,000.00

200,000.00

$150,204.00

$108,000.00

Spates, Incorporated, manufactures and sells two products: Product H2 and Product E0. Data concerning the expected production of each product and the expected total direct labor-hours (DLHs) required to produce that output appear below:

Expected Production Direct Labor-Hours Per Unit Total Direct Labor-Hours
Product H2 190 6.9 1,311
Product E0 190 5.9 1,121
Total direct labor-hours 2,432

The company’s expected total manufacturing overhead is $270,968.

If the company allocates all of its overhead based on direct labor-hours, the overhead assigned to each unit of Product H2 would be closest to: (Round your intermediate calculations to 2 decimal places.)

Multiple Choice

$222.84 per unit

$126.48 per unit

$768.80 per unit

$96.36 per unit

Doles Corporation uses the following activity rates from its activity-based costing to assign overhead costs to products.

Activity Cost Pools Activity Rate
Setting up batches $ 70.72 per batch
Processing customer orders $ 27.78 per customer order
Assembling products $ 12.81 per assembly hour

Data concerning two products appear below:

Product K52W Product X94T
Number of batches 66 53
Number of customer orders 46 31
Number of assembly hours 419 162

Required:
How much overhead cost would be assigned to each of the two products using the company's activity-based costing system? (Round your intermediate calculations and final answers to 2 decimal places.)

Answers

The total materials handling cost allocated to the modular homes is $246,372.84.

The total materials handling cost allocated to the Prefab Barns is closest to $108,000.

What is the total materials handling cost allocated?

To allocate materials handling cost based on material moves, we must determine proportion of material moves for each product and then apply that proportion to the total materials handling cost.

Proportion of material moves for Modular Homes:

= (Total expected material moves for Modular Homes) / (Total expected material moves for both products)

= 590 / (590 + 190)

= 0.756

Total materials handling cost allocated to Modular Homes:

= Proportion of material moves for Modular Homes * Total materials handling cost

= 0.756 * $325,890

= 246 372.84

= $246,372.84.

To allocate the materials handling cost based on direct labor-hours, we need to determine proportion of direct labor-hours for each product.

For Modular Homes:

Total direct labor-hours for Modular Homes:

= 6,000 units * 800 hours/unit

= 4,800,000 hours

For Prefab Barns:

Total direct labor-hours for Prefab Barns:

= 9,000 units * 300 hours/unit

= 2,700,000 hours

Total direct labor-hours for both products:

= 4,800,000 hours + 2,700,000 hours

= 7,500,000 hours

Proportion of direct labor-hours for Prefab Barns:

= 2,700,000 hours / 7,500,000 hours

= 0.36

Allocated materials handling cost for Prefab Barns:

= Proportion of direct labor-hours for Prefab Barns * Total materials handling cost

= 0.36 * $300,000

= $108,000.

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Help!!! The measure of the central angle is ____________ the measure of the circumference angle.

Answers

Hi there! Hopefully this helps!

----------------------------------------------------------------------------------------------

Answer: Twice.

The measure of the central angle is two times the measure of the circumference angle.

Answer:

Twice

The central angle theorem states that the central angle from two chosen poinfs A and B on the circle is always twice the inscribed angle from two points.

Please see the attached picture

Draw a line from the point O to point P

OP = OA = OB = radius

<APO = a , <BPO = b

<PAO = a , < PBO = b

( isosceles triangle)

<POA = 180 - 2a

<POB = 180 - 2b

All Angles at centre O must add up to 360°

< AOB = 360 - ( 180 - 2a ) - ( 180 - 2b )

<AOB = 2a + 2b

<AOB = 2 ( a + b )

Hope this helps...

Help!!! The measure of the central angle is ____________ the measure of the circumference angle.

. Read the paragraph and choose a sentence that describes it best. On the way across the Aegean Sea, Caesar was kidnapped by pirates and held prisoner. He maintained an attitude of superiority throughout his captivity. The pirates demanded a ransom of 20 talents of silver, but he insisted that they ask for 50. After the ransom was paid, Caesar raised a fleet, pursued and captured the pirates, before imprisoning them. He had them crucified on his own authority, as he had promised while in captivity—a promise that the pirates had taken as a joke.

a) Caesar was a vane man who thought 20 talents is too little of a ransom
b) Caesar was very brave and kept to his word to kill the pirates
c) Pirates didn’t believe Caesar will kill them because he was their prisoner
d) The pirates didn’t kill Caesar not only because he was promised to be paid for, but because he made them respect him

Answers

The sentence that best describes the paragraph is: "The pirates didn't believe Caesar would kill them because he was their prisoner." So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.

The paragraph recounts the events of Caesar's kidnapping by pirates while crossing the Aegean Sea. Despite being held captive, Caesar maintained an attitude of superiority. The pirates demanded a ransom of 20 talents of silver, but Caesar insisted they ask for 50. This indicates that Caesar saw himself as more valuable than the initial ransom amount suggested by the pirates.

After the ransom was paid, Caesar did not forget the pirates' actions. He raised a fleet, pursued the pirates, and captured them. The sentence implies that the pirates didn't believe Caesar would actually kill them because he was their prisoner and they likely saw his promises as mere jest.

However, Caesar, true to his word, had the pirates crucified on his own authority.

This sequence of events highlights Caesar's determination, strategic thinking, and his ability to command respect even in dire circumstances. Despite being initially taken prisoner, he managed to turn the tables on the pirates, assert his authority, and exact his revenge. So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.

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If 400 x 300 = 120,000
And 40 x 30 is 1,200


Fill in the blanks and show your work
*_____ x ______ = 12,000?

Answers

Answer:

this list

Step-by-step explanation:

1×12000=12000

2×6000=12000

3×4000=12000

4×3000=12000

5×2400=12000

6×2000=12000

8×1500=12000

10 ×1200=12000

12 ×1000=12000

Find the 12th term of the geometric sequence 2,10,50

Answers

12th term of the geometric sequence is 97,656,250

In the given statement is:

Find the 12th term of the geometric sequence 2,10,50

What is Geometric Sequence?

A Geometric Sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.

Now, to find the 12th term of geometric sequence:

Formula of Geometric Sequence:

\(a_{n} =a_{1}r^n^-^1\)

a = first term of the geometricr = common ratio of the geometric sequence\(a_{n}\) = nth term

\(a_{1}=2\\ \\\)

r = 10/2 =5

\(a_{12}=2(5)^1^2^-^1\\ \\a_{12}=2(5)^1^1\\\\\\a_{12}=2(48,828,125)\\ \\a_{12} = 97,656,250\)

Therefore, 12th term of the geometric sequence is 97,656,250

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Which choice is an irrational number?
A 4π/π
B 2 6
C 18
D 21.989

Answers

Answer: The correct option is B) 2√6

explanation:

a number is called irrational if it cannot be written in the form ,p/q where p and q are integers and q ≠0. a number is called rational if it can be written in the form ,p/q where p and q are integers and q ≠0.

A) 4π/π = 4 (This simplifies to 4, which is a rational number since it can be expressed as a fraction 4/1.)

B) 2√6 = irrational number (The square root of 6 cannot be simplified to a fraction or whole number, so it is an irrational number.)

C) 18 = rational number (This is a whole number and can be expressed as a fraction 18/1.)

D) 21.989 = rational number (This is a decimal number, but it can be expressed as a fraction, such as 21989/1000.)

Answer:

correct answer B

Step-by-step explanation:

because 2 surd 6 will continue to give you an infinite number which is an irrational number

Does Anybody Want to Be Brainliest??

First person to answer these 2 questions correctly will get it

Does Anybody Want to Be Brainliest??First person to answer these 2 questions correctly will get it
Does Anybody Want to Be Brainliest??First person to answer these 2 questions correctly will get it

Answers

Answer:

1.  line AB ≅ line CD (its congruent)

2. m<ZXY - m<WXZ = m<WXY

Step-by-step explanation:

1.

A (-3, 2)

B (0, 3)

C (-1, 2)

D (2, -3)

find:

determine if AB ≅ CD (congruent or non-congruent)

solution:

Length AB = √(0+3)² + (3+2)² = 5.8

Length CD = √(2+1)² + (-3-2)² = 5.8

therefore,

line AB ≅ line CD (its congruent)

2.

m<ZXY - m<WXZ = m<WXY

given:

point Z is in the interior of <WXY creating XZ.

if m<WXZ = 20

m<WXY = 100

find:

what would equation would you set up to find the missing angle measure?

solution:

Since Z is interior of <WXY

m<ZXY - m<WXZ = m<WXY

<WXY = 100 - 20 = 80°

therefore, the equation would be m<ZXY - m<WXZ = m<WXY

Does Anybody Want to Be Brainliest??First person to answer these 2 questions correctly will get it

Which of the following is the standard equation of the ellipse with vertices at (3, 0) and (13, 0) and an eccentricity of four fifths question mark

quantity x minus 8 end quantity squared over 25 plus y squared over 9 equals 1
quantity x plus 8 end quantity squared over 9 plus y squared over 25 equals 1
quantity x minus 8 end quantity squared over 100 plus y squared over 64 equals 1
quantity x plus 8 end quantity squared over 64 plus y squared over 100 equals 1

Which of the following is the standard equation of the ellipse with vertices at (3, 0) and (13, 0) and

Answers

The ellipse equation is given by option a: quantity x minus 8 end quantity squared over 25 plus y squared over 9 equals 1.

What is termed as the ellipse?An ellipse does have an eccentricity less than one and reflects the locus of points whose distances from the ellipse's two foci are a constant value. The shape of the an egg in two dimensions and running monitoring in a sports stadium are two simple examples of ellipses in our daily lives.

The equation for an ellipse of centre is:

(x - x₀)²/a² + (y - y₀)²/b² = 0.

The values a and b are determined by the vertices and eccentricity.

That has vertices at (3, 0) and (13, 0) , resulting in:

x₀ = 13 + 3 / 2 = 8

y₀ = 0 + 0 /2 = 0

a = 13 - 3/2 = 5

a² = 25

It has the eccentricity of 4/5, so:

4/5 = c/a

c = 4

Thus, b is given by the following equation:

c² = a² - b²

b² = a² - c²

b² = 25 - 16

b² = 9

The ellipse's equation is:

(x - 14)²/25 + (y )²/9 = 1.

Thus, the equation of ellipse is "quantity x minus 8 end quantity squared over 25 plus y squared over 9 equals 1."

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PART A: is this a proportional relationship?
PART B: if this is a proportional relationship, what is the constant?
PART C: if this is a proportional relationship, write a direct proportional equation.

PART A: is this a proportional relationship?PART B: if this is a proportional relationship, what is the

Answers

Yes this is proportional. The constant term is the y is 2 times then the x . Y= x•2

In A container, there are red, blue and green balls. 3/11 of ball s are red There are 35 more blue balls than red balls. The remaining 90 balls are green. How many more blue balls than green balls are there? of the balls are red.​

Answers

If 3/11 of the balls are red, then (3/11) * 110 = 30 balls are red.

It is mentioned that there are 35 more blue balls than red balls. Therefore, the number of blue balls is 30 + 35 = 65.

The remaining balls are green, so the number of green balls is 110 - (30 + 65) = 15.

To find out how many more blue balls there are than green balls, we subtract the number of green balls from the number of blue balls: 65 - 15 = 50.

Therefore, there are 50 more blue balls than green balls.


Leo is a barber.
He charges £5 for a haircut.
He charges 10% extra for hair gel.
One day 25 customers have a haircut.
16 of these ask for hair gel.
Work out the total amount that Leo charges his customers that day.

Answers

10% extra of £5 = 110% of £5 = 1.1 x £5 = £5.50

25 x £5 = £125
16 x £5.50 = £88

£125 + £88=£213

Answer: £213 (I think)

(I may well be wrong and I’m so sorry if I am)

i need help please explain

i need help please explain

Answers

Answer:

-7/4 = 2/5t

x5        x5

-35/4 = 2t

Divide by 2 on both sides

-4 3/8 = T

Answer:

35/8

Step-by-step explanation:

Find m and c for this line

Y+3x=1

Answers

Answer:

m = -3 ; c = 1

Step-by-step explanation:

y = -3x + 1

y = mx + c

m = -3

c = 1

how the Industrial Revolution changed American Economics.

Answers

Answer:

The Industrial Revolution shifted from an agrarian economy to a manufacturing economy where products were no longer made solely by hand but by machines. This led to increased production and efficiency, lower prices, more goods, improved wages, and migration from rural areas to urban areas.

Step-by-step explanation:

Brainli

Consider the first quadrant of the unit circle. How does the covenant ratio change as the sine ratio increases?

Answers

Answer:

For acute angles, remember what sine means: opposite over hypotenuse. If we increase the angle, then the opposite side gets larger. That means "opposite/hypotenuse" gets larger or increases.

Step by Step:

Keep this in mind >>

Consider the unit circle > The sine and cosine ratios are the only ratios that have 1 (the radius or hypotenuse) as the denominator. The numerators (sides) vary between 0 and 1, thus determining that the sine and cosine do the same.

All of the other ratios (tangent, cotangent, secant, cosecant) have a side as the denominator, varying between 0 and 1. As any denominator approaches 0, the value of the ratio approaches infinity.

Apply Theorem 22-B to solve for "b" State the proportion, and then the answer 27 12​

Answers

Step-by-step explanation:

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zbajaibaaujabajaja

buwsusbvajz

please look at the photo below and answer the question(s)

please look at the photo below and answer the question(s)

Answers

Answer:

Mean - 79

Median- 81

Range- 11

Step-by-step explanation:

Mean aka average = add all the numbers together and divide it by the number of numbers there were to find the mean of something.

in this case  : 81 + 82 + 84+ 75+73+75 + 83 = 553 divided by 7 = 79

Median -  Rearrange the set of numbers from least to greatest or  greatest to least  and find the middle number to find the median

In this case : 73, 75, 75, 81, 82, 83, 84 =  The median is 81

Range - Substract the highest and the lowest number from the set of numbers to find the range.

In this case : 84 - 73 = 11

A path is made of white tiles and grey tiles.
There is a total of 56 tiles.
Work out the number of grey tiles.

Answers

The number of tiles that would be grey tiles out of the total tiles given would be = 28 tiles.

How to calculate the number of grey tiles?

To calculate the number of grey tiles, the total number of tiles given should be divided into two since the path is made up of only white and grey tiles.

The total number of tiles = 56 tiles.

Therefore the grey and the white tiles have the same number of tiles = 56/2 = 28 grey tiles

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Aisha has 8 coins worth 50¢. If the coins are all dimes and nickels, how many dimes and nickels does she have?

Answers

Answer:

4 dimes

2 nickels

Step-by-step explanation:

Answer:

4 dimes 2 nickels

Step-by-step explanation:

Cellular Phones and Driving A research center claims that at most 50% of people believe that drivers should be allowed to use cellular phones with hands-free devices while driving. In a random sample of 150 U.S. adults, 58% say that drivers should be allowed to use cellular phones with hands-free devices while driving. At a = 0.01, is there enough evidence to reject the center's claim?

Answers

The conclusion of the hypothesis is that; the evidence is not sufficient to reject the claim that at most 50% of people believe that drivers should be allowed to use cellular phones with hands-free devices while driving.

How to test the hypothesis?

Hypothesis testing is defined as the method used to find the probability of the hypothesis to be proved in the future on the basis of the small population sample.

Let us first define the hypothesis;

Null Hypothesis; H₀: p ≤ 0.5

Alternative Hypothesis; Hₐ: p > 0.5

The formula for z-score of proportions is;

z = (p^ - p)/√(p(1 - p)/n)

We are given;

p = 0.5

p^ = 0.58

n = 150

Thus;

z = (0.58 - 0.50)/√(0.5(1 - 0.5)/150)

z = 1.96

The p-value of z-score of 1.96 at a significance level of 0.01 is;

p-value = 0.025

The p-value is greater than the significance level and we fail to reject the null hypothesis and conclude that the evidence is not sufficient to reject the claim that at most 50% of people believe that drivers should be allowed to use cellular phones with hands-free devices while driving.

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READ THE PICTURE I NEED ANSWER ASAP

READ THE PICTURE I NEED ANSWER ASAP

Answers

The solution to the inequality is x < 3/14.

To solve the inequality -14x > -3 need to isolate the variable x on one side of the inequality sign.

We can start by dividing both sides by -14.

Since we are dividing by a negative number need to flip the inequality sign to maintain the direction of the inequality:

-14x/-14 < -3/-14

x < 3/14

The solution to the inequality is x < 3/14.

The solution by noting that 3 and 14 do not have any common factors so 3/14 is already in its simplest form.

The solution tells us that x is less than 3/14 means any value of x that is less than 3/14 will make the inequality true.

x = 0 x = -1 and x = -0.5 are all values that satisfy the inequality since they are less than 3/14.

We divide both sides of an inequality by a negative number need to flip the direction of the inequality sign.

This is because dividing by a negative number flips the sign of the inequality and we need to maintain the direction of the inequality to ensure that our solution is correct.

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Question
14.
A football field is 160 ft wide. Convert the width to yards. Write your answer as a mixed number.

Answers

53 1/3 is the answer

Answer:

53 1/3 yards

Step-by-step explanation:

For every 3 ft, there is a total of 1 yard. Using this conversion, we can divide the 160 ft by 3 to get our answer in yards.

160 ft / 3 = 53 1/2

(04.07A)
Two quantities are related, as shown in the table below:


x y
2 3
4 4
6 5
8 6


Which equation best represents the relationship?

Answers

Answer:

The equation that best represents the relationship is \(y=\frac{1}{2}x+2\).

Step-by-step explanation:

We are given the following table representing the two quantities below;

x        y

2       3

4       4

6       5

8       6

Firstly, we will find the two-point slope here, that is;

Consider two points; (\(x_1,y_1\)) = (2, 3) and (\(x_2,y_2\)) = (4,4)

Now, the formula for finding slope is;

Slope =  \(\frac{y_2-y_1}{x_2-x_1}\)

          =  \(\frac{4-3}{4-2}\)  =  \(\frac{1}{2}\)

Similarly, finding the slope for the points (6,5) and (8,6);

Slope =  \(\frac{y_2-y_1}{x_2-x_1}\)

          =  \(\frac{6-5}{8-6}\)  =  \(\frac{1}{2}\)

Now, the linear equation of the line having slope is given by;

\(y-y_1=m\times (x-x_1)\)  ; where m = slope and consider (\(x_1,y_1\)) = (2, 3)

So, the equation of the line is;

\(y-3=\frac{1}{2} \times (x-2)\)

\(y-3=\frac{1}{2}x-1\)

\(y=\frac{1}{2}x+2\)

Hence, the equation that best represents the relationship is \(y=\frac{1}{2}x+2\).

Answer:

y = -1/2x + 11

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