Slove this question!!!!!!!!!!!!!!

Slove This Question!!!!!!!!!!!!!!

Answers

Answer 1

Answer:

247/8

Step-by-step explanation:

Slove This Question!!!!!!!!!!!!!!

Related Questions

How do you write 75.9 in scientific notation?

Answers

Answer:

7.59*10^1

Step-by-step explanation:

write the number as a decimal - 75.9

make it a new number thats somewhere between 1&10 by moving the decimal place - 7.59

define the power of 10 -10^1

put them all together! - 7.59*10^1

Gayle biked 2.82 miles on an exercise bike. Lola biked 3.5 times as far as Gayle.
How much farther did Lola bike than Gayle?
Enter your answer in the box.
miles

Answers

Answer:

9.87

Step-by-step explanation:

If Gayle only biked 2.82 miles and Lola biked 3.5 TIMES MORE MILES

then you multiply 2.82 by Lola's miles and you get 9.87

Estimate each product 75÷7​

Answers

Answer:

10.7142857143

Step-by-step explanation:

Answer:

10.71428

10.71

About 10.7

What is the answer 1/3 of x is 14

Answers

The required answer for 1/3 of x is 14 is x = 42.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now the given equation is,

1/3 of x is 14

Thus converting it into numerical expression.

So we have,

1/3 of x = 1/3 * x= x/3

Thus is equal to 14

Thus, the equation we get is,

x/3 = 14

To solve the above isolate x on one side and other terms to another.

Thus multiplying whole equation by 3 we get,

3*x/3 = 14*3

Simplifying we get,

x = 42

This is the required answer for the given expression.

Thus, the required answer for 1/3 of x is 14 is x = 42.

To learn more about equations :

https://brainly.com/question/13482978

#SPJ1

Which of the following represents an EFFICIENT point of production?
A. Point B
b. Point A
c. Point D
d. None

Answers

The EFFICIENT points of production in the given graph is represented by Point C and Point B , the correct option is option (d).

The given graph is for skateboards vs Bikes .

We need to find the point representing the Efficient Point of Production.

The Production Possibility Curve points are said to be Efficient when the resources are utilized to the fullest , that means the points on the curve represents the point of Efficiency.

In the given Production Possibility Curve between Skateboards and Bikers the point C and Point B are the Efficient point of production .

Therefore , the Efficient points of production in the given curve are represented by Point C and Point B , the correct option is option (d)

Learn more about Efficient Point Of Production here

https://brainly.com/question/8103430

#SPJ1

gary has just retired, and has 750000 dollars in his retirement account. the account will earn interest at an annual rate of 5 percent, compounded monthly. at the end of each month, gary will withdraw a fixed amount to cover his living expenses. gary wants his savings to last 30 years. how much money can he withdraw each month

Answers

The amount of money that Gary can withdraw each month is equal to $4026.18.

Given the following data:

Value of each payment, P = 750,000 dollars.Annual percentage interest rate, APR = 5% = 0.05.Time, t = 30 years.

What is APR?

APR is an acronym for annual percentage rate and it can be defined as a measure of an amount of money based on a yearly rate of interest, which a borrower must pay on a loan or credit card.

This ultimately implies that, the annual percentage rate (APR) would be calculated by dividing the rate of interest by twelve (12).

Rate of interest, r = APR/12

Rate of interest, r = 0.05/12

Rate of interest, r = 0.0041667

Next, we would calculate the present value of this ordinary annuity by using this formula:

Present value, PV = [P ÷ [1 - (1 + r)^{-nt}]/r]

Substituting the given parameters into the formula, we have;

Present value = [750,000 ÷ [(1 - (1 + 0.0041667)^{-30 × 12})/0.0041667]

Present value = [750,000 ÷ [(1 - (1.0041667)^{-360})/0.0041667]

Present value = [750,000 ÷ [(1 - 0.2238239)/0.0041667]

Present value = [750,000 ÷ [0.7761761/0.0041667]

Present value = 750,000 ÷ 186.280773754

Present value, PV = $4026.18.

Read more on present value on annuity here: https://brainly.com/question/13373662

#SPJ1

How do I solve for this?
dy/dx =yx(x + 3)

Answers

Answer:

[tex]{ \tt{ \frac{dy}{dx} = yx( x + 3)}} \\ \\ { \tt{ \frac{dy}{y} = \frac{x(x + 3) \: dx}{1} }} \\ \\ { \tt{ \int \frac{dy}{y} = \int( {x}^{2} + 3x) \: dx }} \\ \\ { \tt{ ln(y) = \frac{ {x}^{3} }{3} + \frac{ {3x}^{2} }{2} + c }} \\ \\ [/tex]

what is the process to answer this equation 6x ?= 6/7

Answers

Answer: x = 1/7, or around 0.14

Step-by-step explanation: In the equation 6x = 6/7, you have to divide both sides by 6 (as x is multiplied by 6). (6/7)/6 = (6/7) * (1/6), which equals 6/42, thus simplifying to 1/7.

what is m=x+n/p solve for m

Answers

x = p / (m + n) is factor of algebraic expression .

What does a math factor mean?

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor in mathematics. As an illustration, 3 and 6 are factors of 12 because 12 3 = 4 and 12 6 = 2, respectively. 1, 2, 4, and 12 are the other components that make up 12.

mx + nx = p

You can factor x out of the mx + nx.

x(m + n) = p

Now, simply divide by the m + n.

x = p / (m + n)

Learn more about factor

brainly.com/question/24182713

#SPJ9

Ryan made a table to show how much blue and red paint he mixed to get the shade of purple he will use to paint the room. He wants to use the table to make larger and smaller batches of purple paint. What ratio was used to create this table? Support your answer

Answers

The ratio that was used to create this table is 4:1.

What does a math ratio mean?

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.

In the top row, they are all even numbers, and in the bottom row, they are all odd numbers

They all simplify to 4:1

Based on the table given, the ratio will be:

= 12/3

= 4/1

= 4:1

The values in each row related to each other as in the top row, they are all even numbers, and in the bottom row, they are all odd numbers.

The values in each column related to each other as they've a ratio of 4:1.

Learn more about ratio

brainly.com/question/23724140

#SPJ9

Fadi set out at 5am on his bike averaging at 6mph. At 8am Chris goes out on his moped averaging 15mph. What time will Chris catch up with Fadi?

Answers

Since at 8am Chris goes out on his moped averaging 15mph, the time Chris catches up with Fadi is at 10 am.

How to find the time will Chris catch up with Fadi?

Since Fadi set out at 5am on his bike averaging at 6mph, the distance Fadi travels is d = vt where

v = Fadi's speed = 6 mph and t = time.

So, Fadi's distance d = vt

= 6t

Now, At 8am Chris goes out on his moped averaging 15mph, the distance Chris travels is D = v't' where

v = Chris' speed and t = Chris' time of travel.

So, Chris' distance D = v't'

= 15t'

Also, since Fadl sets out at 5 am on his bike and Chris goes out on his moped at 8 am, Chris sets out 8 am - 5 am = 3 hrs later.

So, Chris' time of travel t' = t - 3

So, Chris' distance D = 15t' = 15(t - 3)

Now, Chris will catch up with Fadi when they both cover the same distance

So, d = D

6t = 15(t - 3)

6t = 15t - 45

6t - 15t = -45

-9t = -45

t = -45/-9

t = 5 hours

Since Chris's time is t' = t - 3, substituting t = 5 into the equation, we have

t' = 5 - 3

= 2 hours

So, Chris catches up with Fadi 2 hours later at 8 am + 2 hours = 10 am.

So, the time Chris catches up with Fadi is at 10 am.

Learn more about time here:

https://brainly.com/question/28042659

#SPJ1

how do you do this ill give 20 points!!!!!!!

Answers

The measure of the angle ∠ABC will be equal to the measure of the angle ∠DEF which is ∠ABC = ∠DEF.

What is an angle?

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

The angles are given below.

∠ABC = ∠DEF          ...1

∠GHI = ∠DEF           ...2

From equations 1 and 2, then we have

∠ABC = ∠DEF

The measure of the angle ∠ABC will be equal to the measure of the angle ∠DEF which is ∠ABC = ∠DEF.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ1

ERROR ANALYSIS Describe and correct the error in interpreting the statement.
If a figure is a rectangle, then the figure has four sides. A trapezoid has four sides.

X
Using the Law of Detachment,
you can conclude that a trapezoid
is a rectangle.

Answers

Answer:

The fact points to the conclusion of the conditional.

Step-by-step explanation:

Law Of Detachment:

p -> q (if p is true, then q is true)

***You cannot go backwards. In other words, you cannot say that if q is true, then p is true, this is due to counterexamples.

What is the answer to
Sec 30° cos 30

Answers

Answer:

sec 30° + cos 30°

Important trigonometric values

Calculation:

sec 30° + cos 30°

⇒ 2/√3 + √3/2

⇒ (4 + 3)/2 √3

⇒ 7√3/6

∴ 7√3/6

A Mathematical fest was conducted in a school by a group of students. School's principal gave them the budget of ₹32000. They spend 1/4 of the budget on food stalls; 3/10 of the remainder on games and activities and 5/21 of the remainder on gift distribution event. How much money is still left with them?​

Answers

The amount of money left with them is $12,800.

How much money is left?

The first step is to determine the amount left after 1/4 of the budget is spent on food stalls.

Budget left : (1 - 1/4) x amount of budget

(1 - 1/4) x 32,000

3/4 x 32,000 = 24,000

The second step is to determine how much of the budget is left after spending on games and activities :

(1 - 3/10) x 24,000

7/10 x 24,000 = 16,800

The third step is to determine how much is left after spending the remainder on gift distribution

(1 - 5/21) x 16,800

16/21 x 16,800 = $12,800

To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498

#SPJ1

the second side of a triangular deck is 5 feet longer than the shortest side, and the third side is 5 feet shorter than twice the length of the shortest side. is the perimeter of the deck is 64 feet, what are the lengths of the three sides

Answers

The lengths of the three sides are 16 feet, 21 feet, and 27 feet

let the shortest side be x

then the second side would be x+ 5 feet

and the third side would be 2x- 5 feet

as we are provided with the parameter of the deck as 64 feet  

Parameter = sum of all sides

64        = x + (x+5) + (2x-5)

64        = 4x

So, in order to find out the measurement of the sides of the triangular deck we need to solve this linear equation  

64        = 4x

X          = 64/4

X          = 16 feet

Therefore, first side/ shortest side = x= 16 feet

Second side = x+5 = 16+5 = 21 feet

Third side = 2x-5= 2(16) -5 = 27feet

To know more about  linear equation - https://brainly.com/question/11897796

#SPJ9

can someone help me with this ?

Answers

Using function concepts, it is found that:

a) Point (3,-13) is not on the graph, because substituting x = 3 on the equation does not result in 13.

b) If x = 1, f(x) = -3, hence point (1,-3) is on the graph of f.

c) if f(x) = 2, x = 16, so point (16,2) is on the graph of f.

d) The domain is all real numbers except x = 4.

e) The x-intercept is of x = -8.

f) The y-intercept is of y = -2.

What are the points on the graph?

The function is given by:

f(x) = (x + 8)/(x - 4).

Hence, when x = 3:

f(3) = (3 + 8)/(3 - 4) = 11/-1 = -11.

Hence:

Point (3,-13) is not on the graph, because substituting x = 3 on the equation does not result in 13.

When x = 1, we have that:

f(1) = (1 + 8)/(1 - 4) = 9/-3 = -3.

If x = 1, f(x) = -3, hence point (1,-3) is on the graph of f.

For f(x) = 2, we have that:

2 = (x + 8)/(x - 4)

2x - 8 = x + 8

x = 16.

Hence:

if f(x) = 2, x = 16, so point (16,2) is on the graph of f.

What is the domain of the function?

The domain of a function is the set that contains all possible input values of the function.

This function is a fraction, meaning that the denominator cannot be zero, so:

x - 4 = 0 -> x = 4.

Hence:

The domain is all real numbers except x = 4.

What are the intercepts of the function?

The x-intercept of a function is given by the value of x when f(x) = 0, that is, the value of x when the function crosses the x-axis.The y-intercept of a function is given by the value of f(x) when x = 0, that is, the value of y when the function crosses the y-axis.

For this problem, we have that:

f(x) = 0.

(x + 8)/(x - 4) = 0.

x + 8 = 0

x = -8.

f(0) = 8/-4 = -2.

Hence:

e) The x-intercept is of x = -8.

f) The y-intercept is of y = -2.

More can be learned about function concepts at https://brainly.com/question/10891721

#SPJ1

(a[tex](a^6)^2a^7[/tex]

Answers

Answer: a(a^6)^2a^7 = [tex]a^{20}[/tex]

Step-by-step explanation:

Given data,

                 = a(a^6)^2a^7

We can write,

                   = [tex]a * (a^{6}^)^{2} * a^{7}[/tex]

Simplify using exponent power rule,  [tex](a^{n} ) ^{m}[/tex] = [tex]a^{mn}[/tex]

So, we can write using formula,

                           = [tex]a * a^{6*2} * a^{7}[/tex]

                           =  [tex]a * a^{12} * a^{7}[/tex]

Multiply the monomials,

We can use the formula,     [tex]x^{a} * x^{b} * x^{c}[/tex] = [tex]x^{a+b+c}[/tex]

So, we can write,

                            = [tex]a^{1+12+7}[/tex]

                             = [tex]a^{20}[/tex]

Therefore,

                        a(a^6)^2a^7 = [tex]a^{20}[/tex]

Learn more about event correlation here: brainly.com/question/20433457

#SPJ9

                   

Determine whether each relation is a function. {(3, 2), (-1, 3), (5, 2)} and {(9, -1), (3, 6), (-2, 4), (3, 0)}

Answers

We can state that the given relations:

{(3, 2), (-1, 3), (5, 2)} is a function.

{(9, -1), (3, 6), (-2, 4), (3, 0)} is not a function.

What Makes a Relation a Function?

A relation is a function if each of the x-values in the relation has exactly one corresponding y-value it is related to.

Given the relation with the ordered pairs, {(3, 2), (-1, 3), (5, 2)}, we can see that each x-value has exactly one y-value.

For the relation, {(9, -1), (3, 6), (-2, 4), (3, 0)}, we can observe that the x-value "3" has three corresponding y-values, "6, and 0", therefore, it is not function.

Therefore, we can state that the given relations:

{(3, 2), (-1, 3), (5, 2)} is a function.

{(9, -1), (3, 6), (-2, 4), (3, 0)} is not a function.

Learn more about functions on:

https://brainly.com/question/15602982

#SPJ1

Simplify the variable expression below as much as possible.
3x+ 2y+5-3
Answer here


PLEASE HELP

Answers

Answer:

3x+2y+2

Step-by-step explanation:

it's just combining like terms

The answer is 3x+2y+2
You have to combine like terms. 3x and 2y cannot be simplified further but 5 and 3 can.

jim built a large rectangular planter bed for his garden. The length of the planter is 2 feet longer than 3 times the width. The perimeter of the planter bed is 92 feet. Write and solve an equation to find the length and width of the planter bed.

Answers

Given the perimeter, the length and width of the rectangular planter bed are 35ft and 11ft respectively.

What is the length and width of the rectangular planter bed?

The perimeter of rectangle is expressed as;

P = 2( l + w )

Given the data in the question;

Let 'x' represent the width of the rectangle.

Width w = xLength = 3x + 2Perimeter P = 92ft

Plug the given values into the above above equation.

P = 2( l + w )

92 = 2( ( 3x + 2 ) + x )

Solve the equation for x.

92 = 2( ( 3x + 2 ) + x )

92 = 6x + 4 + 2x

92 = 8x + 4

8x = 92 - 4

8x = 88

x = 88/8

x = 11

Hence;

Width of the rectangular planter bed = x = 11ft

Length of the rectangular planter bed = 3x+2 = 3(11) + 2 = 33 + 2 = 35ft

Given the perimeter, the length and width of the rectangular planter bed are 35ft and 11ft respectively.

Learn more about rectangles here: brainly.com/question/17043956

#SPJ1

Please help I’ll mark brainly

Answers

Hello,

[tex]\boxed{-4} - 3 = - 7[/tex]

i ready help please . .. . .. . . . . . . . .. . . . .. .. . .. . . . .

Answers

The solution to the given expression when evaluated would be expressed as: 3a + 4b³ - 5 = 3(6) + 4(2³) - 5 = 45.

How to Evaluate an Expression?

To evaluate the expression, 3a + 4b³ - 5, when a = 6 and b = 2, substitute the values of a and b into the expression and solve.

Thus, we would have:

3a + 4b³ - 5 = 3(6) + 4(2³) - 5

Solve the exponent

3a + 4b³ - 5 = 3(6) + 4(8) - 5

3a + 4b³ - 5 = 18 + 32 - 5

Add

3a + 4b³ - 5 = 45

Therefore, the solution to the given expression when evaluated would be expressed as: 3a + 4b³ - 5 = 3(6) + 4(2³) - 5 = 45.

Learn more about evaluation of expressions on:

https://brainly.com/question/3590570

#SPJ1

Kara brought $23 with her when she went shopping. She spent $3.27 for lunch and $14.98 on a shirt. How much money does she have left? $

Answers

Answer:

$4.75

Step-by-step explanation:

The two items that Kara bought must be subtracted from the amount of money she had in the beginning; $23.00 − $3.27 − $14.98 = $4.75.

Answer:

after thinking about this thoroughly I've got the answer.

its $19.73

Step-by-step explanation:

23-3.27-14.98=4.75

So the answer is $4.75

A bakery sold 138 mocha cupcakes in a day, which was 46% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?

Answers

Answer:

x=300

Step-by-step explanation:

138=46%x

x=300

hope this helps!

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

46% = 138

100% = 300

The total number of cupcakes sold on that day is 300.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Number of mocha cupcakes sold in a day = 138

The percentage of mocha cupcakes sold in a day = 46%

The percentage of total cupcakes sold in a day = 100%

Now,

46% = 138

Multiply 100/46.

100/46 x 46% = 100/46 x 138

100% = 300

Thus,

The total number of cupcakes sold on that day is 300.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ2

Can any of you help me with this?

The ski team needs new uniforms. The students plan to sell plush toy lions (the school mascot) for $5 each. The students find three companies on-line that sell stuffed mascots. Company A sells 16 lions for $45.60. Company B sells 18 lions for 50.76. Company C charges $34.44 for 12 lions. Which company has the best buy?

Answers

In linear equation , The company which has the best buy is company C, they sell 1 lion for $2.77 (highest selling price among the three companies.

What in mathematics is a linear equation?

A linear equation is an algebraic equation with the formula y=mx+b, according to Wolfram MathWorld. m is the slope, and b is the y-intercept, and all that is involved is a constant and a first-order (linear) term. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Company A = 16 lions for $45.60

Price per lion = $45.60 / 16

= $2.85

Company B = 18 lions for $50.76

Price per lion = $50.76 / 18 eagles

= $2.82

Company C = $34.44 for 12 lion

Price per lion = $34.44 / 12 lion

= $2.87

The company which has the best buy is company C, they sell 1 lion for $2.87 (highest selling price among the three companies)

Learn more about linear equation

brainly.com/question/11897796

#SPJ9

han followed these instructions to make the image

Answers

you have the image so I can doit

graph the solution to this inequality on the number line. w -0.8 > -2.4 first select the correct ray. then select the location of the endpoint to plot the inequality on the number line.

Answers

Answer:

Step-by-step explanation:

The solution to the inequality  is

Inequality

Inequalities are used to represent expressions of unequal values

The inequality is given as:

Add 0.9 to both sides of the inequality

Simplify the inequality

The above inequality means that:

The arrow on the number line points to the right

The arrow begins at point -1.2 with an open circle or dotted lines

b(n)=−4−2(n−1)
What's the 12th term in the sequence?

Answers

The 12th term in the sequence is -26.

Given,

B (n) = -4 – 2(n – 1)

We have to find the 12th term in the sequence:

To find the nth term in an arithmetic sequence:

An arithmetic sequence's nth term is determined by the formula a = a + (n - 1)d. The common difference, or d, is the difference between any two consecutive terms in an arithmetic series; it can be calculated by deducting any pair of terms starting with a and an+1.

Here,

First term, a = -4

Common difference, d = -2

nth term = 12

Now, let’s find 12th term

B(n) = -4 -2(n – 1)

B(12) = -4 – 2(12 – 1)

B(12) = -4 -2(11)

B(12) = -4 -22

B(12) = -26

That is, the 12th term in the sequence is -26.

Learn more about arithmetic sequence here:

https://brainly.com/question/11570734

#SPJ1

F(B-g3)=2 solve for b

Answers

Solving for B gives B = 2/ F + g³

What is subject of formula?

Subject of formula can be defined as the variable that is expressed in terms of other variables in an equation or expression.

Given the equation;

F(B-g³)=2

To make 'B' the subject of formula, we have to take the following steps

Divide both sides by F, we have;

F(B-g³) / F = 2/ F

we then have;

B - g³ = 2/F

Now, make 'B' the subject of formula by making all the other terms over the equality sign

We have;

B = 2/ F + g³

Thus, solving for B gives B = 2/ F + g³

Learn more about subject of formula here:

https://brainly.com/question/21140562

#SPJ1

Other Questions
Listen, read the question, and choose the option that best answers the question.Based on the audio, what is the best conclusion about Claudia's situation? Es agradable. Es desagradable. Es seca. Es vaca. A model airplane takes off at an angle of elevation of 30C. How high will the plane be after traveling 100 feet horizontally? Round to the nearest tenth. Show your work. which is reactive, carbon with four single bonds of carbon with two single bonds and one double bond? The nurse is administering ophthalmic drops for the first time. what techniques should be used? What are the coordinates of G after it is translated LEFT 4 UNITS AND UP 3UNITS? a^2 = 225/64 what does a equal A bird flies at the top speed of 20,000 meters per hour. The bird flies 30,000 meter without stopping. for how many hours did the bird fly if it flew at top speed The RDA values for essential nutrients are intended to meet the needs of 97-98% of the healthy population. The EER values, in contrast, are much less generous. Why is there such a difference in the proportion of the population whose needs are met by the RDA versus the EER? Which of the following defines the number of times your heart beats in one minute during rest?Target Heart RateResting Heart RateMaximum Heart RateBeat Pulse Measurement Find the solution(s) of the system of equations:y = x2 + 6x + 9y = 2x + 6(3,12) and (1,8)(3,12) and (1,8)(3,0) and (1,4)(3,0) and (1,4) Silicon is a semiconductor and has properties of both metals and nonmetals.What type of element is Silicon? Which of the proteins in involved in the contraction of smooth muscle is incorrectly paired with its function? A -4 nc point charge is located at -3 m along the x-axis. what is the electric potential at the origin? Which organism from kingdom protista is most closely related to animals? a) paramecium spp. b) choanoflagellates diatoms c) red algae d) amoeba spp. Angle WXYN angle XYZ are complementary angle , M angle WXY equals ( 2X +5) degrees, and M angle YXZ equals (8x-5) degrees can anyone help me with this also, thank you sooo sooo much to whoever helps me :) Apple developed itunes as a complement to drive ipod sales. which aspect of differentiation strategy does this move represent? How much does a typical water bed weigh? note that 1 cubic foot of water weighs 64.2 pounds and a typical water bed holds 28 cubic feet of water. A tire company measures the tread on newly-produced tires and finds that they are normally distributed with a mean depth of 0.99mm and a standard deviation of 0.35mm. Find the probability that a randomly selected tire will have a depth less than 0.31mm. Would this outcome warrant a refund (meaning that it would be unusual)? witch if the following numbers is best represented by the point N?