Type the following fractions in order from greatest to least:

5/4, 4/10, 5/12, ¼, 11/12


Write the decimals in the boxes from greatest to least:

0.5, 0.91, 0.04, 0.89, 0.51

Answers

Answer 1
1/4, 4/10, 5/12, 11/12, 5/4

0.91, 0.89, 0.51, 0.5, 0.04
Answer 2

Answer:

5/4, 11/12, 1/4, 5/12, 4/10        0.91, 0.89, 0.51, 0.5, 0.04

Step-by-step explanation:

Im pretty sure these are correct


Related Questions

Phones collected from a conferences are labeled 1 through 40. What is the probability that the conference speaker will choose a number that is not a multiple of 6?

Give your answer as a fraction.

Answers

Answer:

15/100

Step-by-step explanation:

6 multiples of 6 between 0-40 so we find the amount 40 goes into 100, which is 2.5, then multiply 6 by 2.5 to get 15, meaning the possibility is 15%, or 15/100

Answer: 17/20

Step-by-step explanation:

There are 6 multiples of 6 in the range 1 to 40, namely 6, 12, 18, 24, 30, 36. So the probability of the speaker choosing one of these multiples is 640. Therefore, by the complement rule, the probability of not choosing a multiple of 6 is 1−640=3440. Simplify to 17/20

Please help!!!!!!!!!!​

Answers

The answer is C
I’m adding this sentence because it says I need more characters

Step-by-step explanation:

3/1 x 5/6 = 15/6 = 2 3/6 = 2 1/2

answer is C

Which answers are examples of inductive reasoning?
Select each correct answer.
John saw wild turkeys in his yard during the past 3 years. He will see wild turkeys in his yard next year.
All right triangles have a 90° angle. Triangle ABC is a right triangle. Therefore, triangle ABC has a 90° angle.
The cinema charges $5 to see a movie. Four friends are going to the cinema to see a movie. Therefore, altogether they will pay $20 to see the movie.
Mrs. Smith notices that the first 10 students who enter her class are female. Therefore, she expects that all the students in her class will be female.

Answers

A

John will see a wild turkey in his yard next year

John saw wild turkeys in his yard during the past 3 years. He will see wild turkeys in his yard next year.

and

Mrs. Smith notices that the first 10 students who enter her cla$s are female. Therefore, she expects that all the students in her cla$s will be female.

Step-by-step explanation:

Hello!

First off, what is inductive and deductive reasoning?

Inductive is when you infer off of your observations. For example, "the last three cars I passed by were white, therefore the next car will also be white". The inductive reasoning is usually a broad guess. This could be right, but it isn't factual.

Deductive is when you infer based off of facts, or confirmed information. For example, "If you get 60% on a quiz, you pa$s the quiz. John got 80% percent on his quiz, therefore he passed." It is a confirmed fact that 60% is the pas$ing grade so if John got a 80%, that is more than 60% and he passes.

I hope the examples made sense!

I wrote about explaining the options but brainly is being sensitive

Let f(x) = 16 – x^2, g(x) = 4 – x. Find (fg)(x) and its domain.

Answers

Answer:

x+4; all real numbers except =-4

Step-by-step explanation:

f(x)/g(x) = (x2-16)/(x+4)

The domain is all real numbers except x = -4 (because the denominator is zero at x = -4 and division by zero is undefined.)

We can simplify by factoring the numerator:

(x2-16)/(x+4) = (x-4)(x+4)/(x+4) = (x-4)

The domain is the same as the original expression: all real numbers except x = -4

Evaluate and simplify the expression
when x= 3 and y = 5.
2y + 3(x - y) + x2 = [ ? ]

Answers

Answer:

13

Step-by-step explanation:

x = 3 & y = 5

2y + 3(x - y) + x² = 2*5 + 3(3 - 5) + 3²

                          = 2*5 + 3*(-2) + 3²

                         = 10 - 6 + 9

                        = 4 + 9

                        = 13

Write an explicit formula for an, the nth term of the sequence 19,24,29

Answers

Answer:

explicit formula for an, the nth term of the sequence 19,24,29

[tex]a_1=19 ; \ a_n=a_{n-1}+5[/tex]

Step-by-step explanation:

We need to Write an explicit formula for an, the nth term of the sequence 19,24,29

In the sequence the First term a₁= 19

Common Difference d= 5

The Formula used for explicit formula is: [tex]a_1=First \ term ; \ a_n=a_{n-1}+d[/tex]

Where d is common difference and n is nth term of sequence.

So, explicit formula for an, the nth term of the sequence 19,24,29

[tex]a_1=19 ; \ a_n=a_{n-1}+5[/tex]

Find the equation of the line.
—————
The line is parallel to y =-6/7x +1 and passes through the point (-7,-3).
—————
The equation of the line is y=

Answers

Answer:

y = [tex]-\frac{6}{7}[/tex] x - 9  

Step-by-step explanation:

Parallel lines have the same slopes and different y-intercept

m = [tex]-\frac{6}{7}[/tex]

y - (- 3) = [tex]-\frac{6}{7}[/tex] [x - (- 7)]

y + 3 = [tex]-\frac{6}{7}[/tex] (x + 7)

y + 3 = [tex]-\frac{6}{7}[/tex] x - 6

y = [tex]-\frac{6}{7}[/tex] x - 9

⚠️⚠️⚠️⚠️NEED HELP MARKING PEOPLE AS BRAINLIST!

Answers

I believe its a reflection

Sorry if im wrong

PLEASE HELP ME! ;)
What is the result when the number 20 is decreased by 10%?

Answers

Answer:

18 would be the number

Step-by-step explanation:

plz mark B R A I N L I E S T

Answer:

I think the answer is 18

Step-by-step explanation:

20-10%=18

Find the slope for the line that passes thru the points (-2, 7) and (4, 18)

Answers

Answer:

[tex]m=\frac{11}{6}[/tex]

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Alg I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-2, 7)

Point (4, 18)

Step 2: Solve for slope m

Substitute:                    [tex]m=\frac{18-7}{4+2}[/tex]Subtract/Add:               [tex]m=\frac{11}{6}[/tex]

Answer:

dkdkfdodffffdsddddddddd

what is the absolute minimum and maximum of this graph ​

Answers

Answer:

The minimum is 0 because the lowest point the line reaches is 0. The maximum is infinity because the arrow keeps going up.

Answer:

There is no max since the arrow is continuous and the minimum is zero

Step-by-step explanation:

Solve for x in the diagram shown.
e
A)
2.67
B)
4.5
5.625
D)
34.375
E)
225

Answers

Answer:

C

Step-by-step explanation:

I just took the USATP.

Answer:

D) 34.375

Step-by-step explanation:

I literally just took usatestprep yall need to stop putting wrong answers pls

Jose uses 1/5 cup of red paint for every 3/5 cup of blue paint to make purple paint. Enter the number of cups of red paint Evelyn uses for 1 cup of blue paint.
Please help this is due tomorrow!!

Answers

1/3 red cups in order to use 1 blue cup of paint

PLEASE HELP MATH 100%: How does Newton’s Second Law apply to the field of robotics? why is this a litreal math question like i know-

Answers

I- I’m bouta SUE that math teacher-
Also the answer is

2.2.1 Newton's Second Law of Motion Applied to Mechanical Systems Modeling
Newton's second law of motion states that the acceleration of a particle
(
a
=
x
¨
=
d
2
x
(
t
)
/
d
t
2
)
is proportional to the force applied to it and is in the direction of this force. The proportionality constant is the mass m for a constant-mass particle or a rigid body undergoing translatory motion whose inertia can be reduced to a point. In cases where several external forces act on the particle in the motion direction, the acceleration is proportional to the algebraic sum of external forces fj
(2.34)
m
x
¨
=

j
=
1
n
f
j
An equation similar to Eq. (2.34) can be derived from Newton's second law of motion (which is formulated for translation), expressing the dynamic equilibrium of a body of constant mass moment of inertia J rotating about a fixed axis:
(2.35)
J
θ
¨
=

j
=
1
n
m
t
j
where mtj are the torques acting on the rotating body and the rotary acceleration is
θ
¨
=
d
2
θ
(
t
)
/
d
t
2
(the symbol mt has been used for moments to avoid confusion with the mass symbol m). Equation (2.35) is also valid for a particle rotating about an external axis.
Equation (2.34) for translation and Eq. (2.35) enable deriving mathematical models formed of the differential equation(s) connecting the input and the output through system component parameters. Instrumental to correctly applying these equations is the free-body diagram, which isolates a mechanical element from its system using external forcing as well as reaction forces and moments from the elements that have been separated from the studied element. The equations based on Newton's second law of motion and the free-body diagrams are utilized for the remainder of this chapter, as well as in Chapter 3, to determine the free and forced responses of mechanical systems
PHEW thank GOD for copy and paste-
Take what you will from this

Question 6 (1.25 points)
A researcher wants to test if the mean annual salary of all lawyers in a city is
different from $110,000. A random sample of 53 lawyers selected from the city
reveals a mean annual salary of $114,000. Assume that o = $17,000, and that the
test is to be made at the 1% significance level.
What is the value of the test statistic, z, rounded to three decimal places?
A

Answers

Answer:

Test statistic Z= 1.713

The calculated Z- value =  1.7130 < 2.576 at 0.01 level of significance

Null hypothesis is accepted

There is no difference between the  mean annual salary of all lawyers in a city is  different from $110,000

Step-by-step explanation:

Step(i):-

A researcher wants to test if the mean annual salary of all lawyers in a city is

different from $110,000

Mean of the Population  μ = $110,000

Sample size 'n' = 53

Mean of the sample x⁻ = $114,000.

standard deviation of the Population = $17,000,

Level of significance = 0.01

Null hypothesis :

There is no difference between the  mean annual salary of all lawyers in a city is  different from $110,000

H₀:  x⁻ =  μ

Alternative Hypothesis :  x⁻ ≠  μ

Step(ii):-

Test statistic

                 [tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

                 [tex]Z = \frac{114000-110000}{\frac{17000}{\sqrt{53} } }[/tex]

                Z =  1.7130

Tabulated value Z = 2.576 at 0.01 level of significance

The calculated Z- value =  1.7130 < 2.576 at 0.01 level of significance

Null hypothesis is accepted

There is no difference between the  mean annual salary of all lawyers in a city is  different from $110,000

can someone please help me thank you

Answers

Answer:

Neither of the students are correct.

Step-by-step explanation:

Sarah:

P = 3x + x +7 + 3x + x +7 ..... this first step is correct

    = 6x + 14 .... this step is incorrect, Sarah forgot to add the other 2 xs

John:

P = 2(x + 7) + 2(3x)

  =  2x + 7 + 6x .... this step is incorrect, John forgot to distribute the 2 to the 7

  =  8x + 7 .... incorrect because of the previous step

The answer should've been 8x + 14.

2/3 divided by 5 I Need answers

Answers

Answer:

Step-by-step explanation:

7.5

Answer:

if you divide [tex]\frac{2}{3}[/tex] by 5 the answer would be [tex]\frac{2}{15}[/tex]

Terry earns a base salary of $2100 per month. Once he reaches $40000 in total sales, he earns an additional 5% commission (salary) on the amount of sales over $40000. Let s be the amount of his total sales for the month and M(s) be the amount of his salary for the month. (For instance, if he had sales of $42000 for the month, he would earn a salary of $2100 and 5% of $2000, since $42000 is $2000 more than $40000.)

Answers

Answer:

$4200

Step-by-step explanation:

Step one:

given data

we are told that Terry's base salary is $2100  per month.

in addition 5% on sales greater than $40000.

let the monthly salary be M(s)

and let "s" be the amount of sales made

his monthly commission =0.05s

Step two:

The expression for his monthly earning is given as

M(s)=0.05s+2100   where s>40000

 hence for a month when s=42000

M(s)=0.05(42000)+2100

M(s)=2100+2100

M(s)=4200

Therefore for an instance when s=42000 his earnings  for the month will be $4200

Find the measure of the arc or angle indicated. Assume GE is the diameter of
the circle
O 70°
0 47
O 54
O 60°

Answers

Answer: 70 degrees (i had that question got it right)

Step-by-step explanation:

what will be the 40th term in the sequence defined by an=-12+4(n-2)

Answers

Answer:

140

Explanation:

an=-12+4(n-2)

an=-12+4([40]-2)

an=-12+4(38)

an=-152-12

an=140

The 40th term in the sequence defined by aₙ= -12+4(n-2) is 140

using AP formula,

aₙ = a + (n - 1)d

where

a = first term

d = common difference

n = number of terms

Therefore,

aₙ = -12 + 4(n-2)

n = 40

a₄₀ = -12 + 4(40 - 2)

a₄₀ = -12 + 4(38)

a₄₀ = -12 + 152

a₄₀ = 140

The 40th term of the sequence is 140.

learn more about arithmetic progression here: https://brainly.com/question/22069667?referrer=searchResults

24 = 3(n–5)

What is the answer​

Answers

Step-by-step explanation:

24=3n-15 or,25+15=3n or,39=3n or,39/3=n or,n=13 therefore the value of n is 13. I think this answer is helpful for you

Answer: n = 13

Step-by-step explanation:

24=3(n-5) - First  distribute the 3 to the n and the 5. Which you would than get 3n and -15

24=3n-15 - Now add the 15 to both sides which would cause it to cancel out on the left side of the equal side.

39=3n - Now divide the 3 from 3n on both sides of the equal side.

n=13 - Once you do that you will get n = 13. That is your answer!

What is 2s + 5 > 49 ?

Answers

Answer:

s>22

Step-by-step explanation:

2s>49−5

2s>44

s>44/2

s>22

Number of Certified Organic Farms in the United States, 2001–2008


Year Farms


2001 6,231


2002 6,574


2003 7,237


2004 7,211


2005 7,701


2006 8,581


2007 10,302


2008 11,796


Click here for the Excel Data File


(a) Fit three trends (linear, quadratic, exponential) to the time series. (A negative value should be indicated by a minus sign. Do not round the intermediate calculations. Round your final answers to 2 decimal places.)


(b) Use each of the three fitted trend equations to make numerical forecasts for the next 3 years. (Round the intermediate calculations to 2 decimal places and round your final answers to 1 decimal place.)

Answers

Answer:

ŷ = 739.49X + 4876.43

y = 6755.98 - 388.24x + 125.30x²

y = 5428.98(1.09)^x

B.)

Linear:

ŷ = 739.49(9) + 4876.43

y = 11531.8

Year 2010 ; x = 10

y = 739.49(10) + 4876.43

y = 12271.3

Year 2011 ; x = 11

y = 739.49(11) + 4876.43

y = 13010.8

Quadratic :

Year 2009 ; x = 9

y = 6755.98 - 388.24(9) + 125.30(9^2)

y = 13411.1

Year 2010 ; x = 10

y = 6755.98 - 388.24(10) + 125.30(10^2)

y = 15403.6

Year 2011 ; x = 11

y = 6755.98 - 388.24(11) + 125.30(11^2)

y = 17646.6

Exponential:

Year 2009 ; x = 9

y = 5428.98(1.09)^9

y = 11791.2

Year 2010 ; x = 10

y = 5428.98(1.09)^10

y = 12852.4

Year 2011 ; x = 11

y = 5428.98(1.09)^11

y = 14009.1

Step-by-step explanation:

X :

1

2

3

4

5

6

7

8

Y:

6231

6574

7237

7211

7701

8581

10302

11796

Using the online linear regression calculator :

The linear trend :

ŷ = 739.49X + 4876.43

Where x = year

With 2006 representing 1 ; and so on

Slope = m = 739.49

Intercept (c) = 4876.43

y = predicted variable

The quadratic model:

General form:

y = A + Bx + Cx²

y = 6755.98 - 388.24x + 125.30x²

The exponential model:

y = AB^x

y = 5428.98(1.09)^x

B.) Next three years :

Year 2009 ; x = 9

Year 2010 ; x = 10

Year 2011 ; x = 11

Linear:

ŷ = 739.49(9) + 4876.43

y = 11531.8

Year 2010 ; x = 10

y = 739.49(10) + 4876.43

y = 12271.3

Year 2011 ; x = 11

y = 739.49(11) + 4876.43

y = 13010.8

Quadratic :

Year 2009 ; x = 9

y = 6755.98 - 388.24(9) + 125.30(9^2)

y = 13411.1

Year 2010 ; x = 10

y = 6755.98 - 388.24(10) + 125.30(10^2)

y = 15403.6

Year 2011 ; x = 11

y = 6755.98 - 388.24(11) + 125.30(11^2)

y = 17646.6

Exponential:

Year 2009 ; x = 9

y = 5428.98(1.09)^9

y = 11791.2

Year 2010 ; x = 10

y = 5428.98(1.09)^10

y = 12852.4

Year 2011 ; x = 11

y = 5428.98(1.09)^11

y = 14009.1

10 workers produce 30 complex elements in 10 days. In how many days would 5
workers produce 24 elements?

Answers

Given:

10 workers produce 30 complex elements in 10 days.

To find:

The number of days, in which 5  workers produce 24 elements.

Solution:

According to the question, let as assume

[tex]n_1=10[/tex]

[tex]w_1=30[/tex]

[tex]d_1=10[/tex]

[tex]n_2=x[/tex]

[tex]w_2=24[/tex]

[tex]d_2=5[/tex]

where, n is number of workers, w is work done, and d is number of days.

We have, a formula,

[tex]\dfrac{n_1\times d_1}{w_1}=\dfrac{n_2\times d_2}{w_1}[/tex]

Substituting the values in the above formula, we get

[tex]\dfrac{10\times 10}{30}=\dfrac{x\times 5}{24}[/tex]

[tex]\dfrac{10}{3}=\dfrac{5x}{24}[/tex]

Isolate variable x.

[tex]\dfrac{10}{3}\times \dfrac{24}{5}=\dfrac{5x}{24}\times \dfrac{24}{5}[/tex]

[tex]\dfrac{240}{15}=x[/tex]

[tex]16=x[/tex]

Therefore, the required number of days is 16.

The odds that it will snow tomorrow are 9 to 6. What is the probability that it will not snow tomorrow?a) 0.1818
b) 0.2222
c) 0.1111
d) 0.1667
e) 0.8182

Answers

Answer:

a) 0.1818

Step-by-step explanation:

Given that:

The odd that it'll snow tomorrow is 9 to 6

The probability that it will snow tomorrow  [tex]=\dfrac{9}{9+6}[/tex]

[tex]=\dfrac{9}{15}[/tex]

= 0.6

The probability that it'll not snow tomorrow [tex]= 1 - \dfrac{9}{15}[/tex]

[tex]= \dfrac{15-9}{15}[/tex]

[tex]=\dfrac{6}{15}[/tex]

= 0.4

Let assume that the odd that it'll snow tomorrow is 9 to 2

The probability that it will snow tomorrow  [tex]=\dfrac{9}{9+2}[/tex]

[tex]=\dfrac{9}{11}[/tex]

= 0.8181

The probability that it'll not snow tomorrow  [tex]= 1 - \dfrac{9}{11}[/tex]

[tex]= \dfrac{11-9}{11}[/tex]

[tex]=\dfrac{2}{11}[/tex]

= 0.1818

None of the  options is correct.

Probability that it will not snow tomorrow = 0.4

The odds of an event E is defined as formulated in equation (1)

[tex]\rm Odd\; of\; event\; E = P(E)/P(\bar E) = P(E)/(1-P(E)).......(1)[/tex]

Let P(E) represents the probability that it will snow tomorrow.

Let event E represents the event that " it will snow tomorrow "

So the odds of the event that it will snow tomorrow

[tex]\rm \dfrac{P(E)}{P(\bar E)} =\dfrac{9}{6} = \dfrac{P(E)}{1-P(E)}.......(2)[/tex]

On solving equation (2) we get

[tex]\rm P(E) = \dfrac{9}{15}[/tex]

So the probability that it will snow tomorrow is 9/15

Hence the probability that it will not snow tomorrow

[tex]\rm P(\bar E) = 1- \dfrac{9}{15} = \dfrac{6}{15} =\bold{0.4}[/tex]

Probability that it will not snow tomorrow = 0.4

For more information please refer to the link below

https://brainly.com/question/7538150

Question 6
Ryan spent half of his weekly allowance on candy. To earn more money, his parents let him clean the windows in his house for $9. He
ended with $15. Which equation would represent this situation?

Answers

Answer:

x=6

Step-by-step explanation:

Let X = Rob's weekly allowance

If he spent 1/2 of it on candy, then he had 1/2 of it left (1/2)X

After he earned $6 for cleaning the oven, he had $9.

So,

(1/2)X + 6 = 9

(1/2)X = 3

X = 6

I GIVE CROWN

HELP ONLY SERIOUS HELP NOT FOR POINTS

Answers

The answer will be -1/9

what is the slope of the line

Answers

Answer:

y-mx+b

Step-by-step explanation:

1. Jared borrowed $300 from his mother to buy an x-box 360. Jared will pay her back in 4 years with 3.5% simple interest. How much total money will he payback to his mother at the end of the 4 years? (Hint: which formula should you use simple or compound, what is the principal, what is the rate, what is the time.)

2. Jackie deposits $225 in an account that pays 4.1% interest compound annually. How much money would Jackie have in her account after 1.5 years? (Hint: which formula should you use simple or compound, what is the principal, what is the rate, what is the time.)

3. Stephanie placed $1,700 in an account that earns 6% interest compounded annually. How much money will she have in the account at the end of 48 months? (Hint: which formula should you use simple or compound, what is the principal, what is the rate, what is the time.) ​

Answers

Answer:

1) future value = present value x [1 + (i x n)] = $300 x [1 + (3.5% x 4)] = $342

2) using the compound interest formula:

future value = $225 x (1 + 4.1%)¹°⁵ = $238.98

Using the simple interest formula doesn't yield the same answer = $225 x [1 + (4.1% x 1.5)] = $238.84. In this case it is close due to a very short period of time and low interest rate.

3) future value = present value x (1 + i)ⁿ = $1,700 x (1 + 6%)⁴ = $2,146.21

since the interest is annual, we must convert 48 months to 4 years

helppppp pleaseee!!

Evaluate the function

Answers

Answer:

10

Step-by-step explanation:

go to mathaway.com and type in the equation and when x=-6. Press show graph and it says 10. The graph is my proof.

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Suppose Jaxon wants to find out about the art of weaving. He would find most of his informationAin a craft guide for fabric-based artsBin a book about dyes and how they are used in fabricsin an encyclopedia under the word "cotton"Din an article about how cotton shaped the pre-Civil War South A phone company charges a base fee of $25 per month plus an additional charge per minute. The monthly phone cost can be represented by this equation: C=25+ am/4, where a is the additional charge per minute, and m is the number of minutes used. How can we re-write this equation to solve for the additional charge per minute? PLZ HURRY describe oviposition of frogs briefly. 2x-3y=4 x+3y=29A. ( - 11, 3) B. (11, - 3) C. (3, 11) D. (11, 3) help! i'm not sure how do this so if someone can explain that would be nice :) Which units can be used to describe the thermalenergy within a substance? Anybody help me! Ill mark you brainly Will mark brainliest for who is rightWhich properties change the composition of a substance?chemical and physical propertiesneither chemical nor physical propertiesphysical propertieschemical properties Find the value of x in each case. Galileo found himself in trouble with: *A.the kingB.the ChurchC.the PhilosophesD.CopernicusPLEASE HELP NOWW!!!! The selling price of an item is $480. It is marked down by 10%, but this sale price is still marked up from the cost of $. Find the markup from cost to sale price. Evaluate each value expression for the given value of the variable : x+x+5 when x=7QUICK PLSSSSSS Name the countries bordering the Atlantic Ocean.Chapter 9 review, Regional Atlas--- Latin America, Geography plz help Explain how the pH of water has a synergistic relationship with other substances.Provide an example. what is hard water and what causes hardness of water Kathryn owns a video store. She rents games for 4 and moves for 4 She must rent at least 84 to make a profit She does not have anymore than 20 games Write and solve the system The presence or absence of a. cellsb. atomsc. molecules provide evidence that a specimen is a living thing. 5 and 2/3 divided by 4? Healthy lifestyle paragraph introduction, body, conclusion WILL MARK BRAINIEST!!!!!!!!!!! PLEASE HELP ASAPThe figure below shows the location of 3 points around a lake. The length of the lake, BC, is also shown. A picture of a right triangle ABC with right angle at B is shown. The length of the side AC is labeled as 8 miles. The length BC of the triangle is labeled as 6 miles. This length BC is also the length of an irregular gray shaded shape. Which of the following options is closest to the distance (in miles) between points A and B?A.) 2.24B.) 2.65C.) 3.74D.) 5.29