Toyotas manufactured in the 1990s have a mean lifetime of 22.6 years, with a standard deviation of 3.1 years. The distribution of their lifetimes is not assumed to be symmetric. Between what two lifetimes does Chebyshev's Theorem guarantee that we will find at least 95% of the Toyotas

Answers

Answer 1

Answer:

The answer is "8.74 and 36.46 years"

Step-by-step explanation:

Mean (life-time)=22.6 years

standard deviation= 3.1 years

We must find out how many standard deviations are 95% of the data.  

[tex]1 - \frac{1}{k^2} = 0.95\\\\1 - 0.95 = \frac{1}{k^2}\\\\\frac{1}{k^2} = 0.05\\\\\frac{1}{0.05} =k^2\\\\k^2 = 20\\\\ k = 4.47[/tex]

Calculating the lower limit and upper limit:

[tex]Lower\ limit = 22.6 - 4.47(3.1) = 22.6 - 13.86 = 8.74\\\\Upper\ limit = 22.6 + 4.47(3.1) = 22.6 + 13.86 = 36.46[/tex]

Limit is 8.74 years to 36.46 years


Related Questions

60°
8
30°
х
Determine the value of x.

Answers

Answer:

4 sqrt(3) =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 60 = x / 8

8 sin 60 = x

8 ( sqrt(3)/2) = x

4 sqrt(3) =x

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 55% salt and Solution B is 70% salt. She wants to obtain 30 ounces of a mixture that is 60% salt. How many ounces of each solution should she use?

Answers

Answer:

Let x = the number of ounces of Solution A

Let y = the number of ounces of Solution B

x + y = 180        y = 180 - x

.60x + .85y = .75(180)

.60x + .85y = 135      Multiply both sides of the equation by 100 to remove the decimal points.

60x + 85y = 13500

60x + 85(180 - x) = 13500

60x + 15300 - 85x = 13500

-25x = -1800

x = 72ounces

y = 180 - 72

y = 108 ounces          

Step-by-step explanation:

Wyzant (ask an expert) solution on their website.

Find a 3 digit number with all these properties: all 3 digits are different, the 1st digit is the square of the second digit in the 3rd digit on one more than twice the second digit

Answers

Answer:

425 or 937

Step-by-step explanation:

First, I listed out all the possible numbers for the first digits, namely, the squares under 10.

1*1=1

2*2=4

3*3=9

Since all the digits have to be different, the first digit cannot be 1 because 1 squared is 1. So that leaves us 4 and 9 to work with, which I tried out one at a time.

Starting with 4:

2 squared is 4.

42

2 times 2 plus 1 equals 5.

425

Starting with 9:

3 squared is 9.

93

2 times 3 plus 1 equals 7.

937

So here we have two numbers that both work and meet the requirements (unless I understood the problem wrong at the part where it says "...the second digit in the 3rd digit on one more than twice the second digit")!

I hope this helped! :D

To collect data on the signal strengths in a neighborhood, Briana must drive from house to house and take readings. She has a graduate student, Henry, to assist her. Briana figures it would take her 12 hours to complete the task working alone, and that it would take Henry 18 hours if he completed the task by himself. How long will it take Briana and Henry to complete the task together?
a. 6.7 hours
b. 7.2 hours
c. 5.6 hours

Answers

Answer:

The correct answer is B. It will take them 7.2 hours.

Step-by-step explanation:

Given that to collect data on the signal strengths in a neighborhood, Briana must drive from house to house and take readings, and she has a graduate student, Henry, to assist her, and Briana figures it would take her 12 hours to complete the task working alone, and that it would take Henry 18 hours if he completed the task by himself, to determine how long will it take Briana and Henry to complete the task together the following calculation must be performed:

1/12 + 1/18 = X

18 / (12 x 18) + 12 / (18 x 12) = X

30/216 = X

5/36 = X

36/5 = 7.2

Therefore, they will be able to finish the task in 7.2 hours.

A store spends $10 for each pair of Brand X jeans and adds a 120% markup to the cost. What is the selling price of the jeans? (circle one)

Answers

Answer:

12

Step-by-step explanation:

120 divided by 100 =1.2 x 10

This answer was confusing for sure

Answers

Answer:  y = cos(2x) which is choice C

Explanation:

Normally, y = cos(x) has a period of 2pi. This means that every 2pi horizontal units, the graph repeats itself. However, we can see that the period here is pi units instead.

One way to see this is to start at (0,1). This is a local max point. Move to its neighboring local max at (pi,1). We have moved pi units along the x axis and the cycle is finished, after which point the cycle repeats itself.

Since T = pi is the period, we then can say B = 2pi/T = 2pi/pi = 2

This is then plugged into y = A*cos(B(x-C))+D where

A = 1

C = 0

D = 0

That leads us to y = cos(2x)

Since the period is often connected to time values, it might help to think of this wave's oscillations occurring twice as often compared to y = cos(x). So that might help see why we replace the x with 2x.

Help 50 point question

Answers

Answer:

1/3

Step-by-step explanation:

.444444444(repeating)- .111111111111(repeating)

.44444444......

-.11111111........

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

.33333333........

Let x = .3333333.....

10x = 3.3333333.....

Subtract the first equation from the second

10x = 3.33333.....

-x =     .33333.....

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

9x = 3

x = 3/9

x = 1/3

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

Need help please due in 1 hour and 30 mins

Answers

Answer:

the answer of that is number C

NEED HELP ASAP!!!! PLEASEEE

Answers

The first answer of the missing blank is 4/5.

The second answer of the missing blank is 2.

The third answer of the missing blank is 25.

*For all of these solutions, I will be using the common rules for logarithms.*

Solution for the first question:

Log9^4/5 must equal log9^4-log9^5, or it could also equal the more proper version, which is simplified: 2log9^2-log9^5.

Solution for the second question:

Log3^22 must equal log3^11+log3^2, if you break it down.

Solution for the third question:

Log9^25 must equal 2log9^5 because it will be like this when simplifying it:

log9^25=2log9^5

log9^5²=2log9^5

2log9^5=2log9^5

These are all of the step-by-step procedures for all three of these given questions. Anyways, I hope that this helped you!

Write the equation of the line in fully simplified slope-intercept form.

Answers

From the graph, we can write that

The equatuon of line passes through (0,4) and

(-8,0) points.

So

[tex] \sf \: slope \: \: m = \frac{4 - 0}{0 - ( - 8)} = \frac{4}{8} = \frac{1}{2} \\ \therefore \green{\sf \: m = \frac{1}{2} }[/tex]

Intercept of Y-axis c = 4

So equation is :

[tex] \bf \: y = mx + c \\ \bf = > y = \frac{1}{2} x + 4 \\ \bf = > 2y = x + 4 \\ \bf= > \orange{ \boxed{ \bf \: x - 2y + 4 = 0}}[/tex]

30 points!!!!!!
There are 6 red marbles, 9 blue marbles, and 10 green marbles in a bag.

What is the theoretical probability of randomly drawing a red marble and then a green marble?

10%
9.6%
64%
16%

Answers

Answer:

A or B depending on whether replacement takes place

Step-by-step explanation:

Without replacement

probability of getting a red marble=6/25

probability of getting a green marble (considering no replacement of marble drawn has taken place)=10/24

probability of randomly drawing a red marble and then a green marble=(6/25)*(10/24)=0.1=10%

With replacement

probability of getting a red marble=6/25

probability of getting a green marble (considering replacement of marble drawn has taken place)=10/25

probability of randomly drawing a red marble and then a green marble=(6/25)*(10/25)=0.096=9.6%

Jim is designing a seesaw for a children's park. The seesaw should make an angle of 30° with the ground, and the maximum height to which it should rise is 2 meters, as shown below:

A seesaw is shown with one end on the ground and the other in the air. The seesaw makes an angle of 30 degrees with the ground. The height of the seesaw from the ground, at the other end, is labeled 2 meters.

What is the maximum length of the seesaw?

3 meters
3.5 meter
4 meters
4.5 meters

Answers

You are giving the angle and opposite leg.

Using the law of sines:

Sin(angle) = opposite leg / hypotenuse

Sin(30) = 2/ hypotenuse

Hypotenuse = 2/sin(30)

Hypotenuse = 4 meters

The maximum length of the seesaw is : (C). 4 meters

Meaning of Maximum length

Maximum length can be defined as the total distance between two point in consideration.

Maximum length can also be said to be the total sum of all the length along a distance.

In the case above, the hypotenuse side is the maximum length.

In conclusion, The maximum length of the seesaw is : 4 meters

Learn more about  maximum length : https://brainly.com/question/16172081

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Hey guys please help me please and thank you

Answers

Answer:

B

Step-by-step explanation:

No matter how many times you multiply 1 by itself, it will always be 1 which makes A and D incorrect.

x is a power. The question is 1/4 * 1/4 * 1/4 which is 1/64

Answer: B

Step-by-step explanation:

[tex]f(x)=(\frac{1}{4})^x\\f(3)=(\frac{1}{4})^3\\f(3)=(\frac{1}{4})(\frac{1}{4})(\frac{1}{4})\\f(3)=\frac{1}{64}[/tex]

what is the lub of 0.2,0.23,0.234,0.2343,0.23434,0.234343​

Answers

Answer:

The lub is 0.2343, while the glb is 0.2

Step-by-step explanation:

btw the 43 seems to be repeating for the lub.

Have a good day!

2. mrs nepali draws rs 19800 as her monthly salary in a wholesale cosmetic shop and certain commission is given as per the monthly sales. if the sales of a month is rs 1200000 and her total income of the month including commission is rs 31800 find the rate of commission. * O 1% 4% 3% 2%​

Answers

Commission = 31800-19800 = 12000
Rate = commission/sales = 12000/1200000= 1/100 = 1%

Using the identity (a + b) (a - b) = a - b², evaluate 49 × 51.​

Answers

[tex]\\ \sf\longmapsto 49\times 51[/tex]

[tex]\\ \sf\longmapsto (50-1)(50+1)[/tex]

[tex]\\ \sf\longmapsto (50)^2-(1)^2[/tex]

[tex]\\ \sf\longmapsto 2500-1[/tex]

[tex]\\ \sf\longmapsto 2499[/tex]

49 × 51

Using Identity

(a + b) (a - b) = a - b²

Solution

⇛(50 + 1) (50 - 1)

⇛(50)² - (1)²

⇛2500 - 1

⇛2499

I don’t get plz help

Answers

Answer:

D.

Step-by-step explanation:

[tex]\frac{pV}{T} =\frac{m}{M}[/tex]

[tex]\frac{M}{1}* \frac{pV}{T} =\frac{m}{M}*\frac{M}{1}[/tex]

[tex]\frac{MpV}{T} ={m}[/tex]

Answer
D
I hope this helped

Find the length of the segment indicated.

A. 16.4
B. 11.4
C. 12.1
D. 13.3

Answers

using Pythagorean triplet

[tex]\\ \sf\longmapsto P^2=H^2-B^2[/tex]

[tex]\\ \sf\longmapsto x^2=19.6^2-15.4^2[/tex]

[tex]\\ \sf\longmapsto x^2=384.16-237.16[/tex]

[tex]\\ \sf\longmapsto x^2=147[/tex]

[tex]\\ \sf\longmapsto x=\sqrt{147}[/tex]

[tex]\\ \sf\longmapsto x=12.1[/tex]

Answer:

C.) 12.1

Step-by-step explanation:

I got it correct on founders edtell

find out the area of ​​the following composite figures​

Answers

Answer:

First composite: 30cm^2
Second composite: 18cm^2

Step-by-step explanation:

Area for the first composite = l • w where l = length w = width

We will first need to break it into two pieces!

One piece can be a rectangle shape and another piece can be the square above the rectangle.

Solve for the area of the rectangle!

Area of the rectangle = L • 8

The length isn’t given but we see that the whole length is 5 and if we subtracted the length from the square we can actually get the missing length for the rectangle.

Length of the rectangle = (5 - 2)

Length of the rectangle = 3

Area of the rectangle = 3 • 8

Area of the rectangle = 24cm^2

Now solve for the area of the square!

Area = L • W

Area = 2 • 3

Area = 6

Finally add the area of the two shapes!

24 + 6 = 30cm^2
•••••••••••••••••••••••••••••••••••••••••••••
Area for the second composite = L • W

Again, we’ll need to break it into two pieces. One piece would be the top rectangle, another piece would be the bottom rectangle.

Area for the top rectangle = 2 • 4

Area for the top rectangle = 8cm^2

Now solve for the area of the bottom rectangle!

Area for the bottom rectangle = 2 • 5

Area for the bottom rectangle = 10cm^2

Finally add the area of the two shapes!

8 + 10 = 18cm^2




a. Which number is greater? 1/4 or 5/4 -3/4 or 5/8

b. Which number is farther from 0? 1/4 or 5/4 -3/4 or 5/8

c. Is the number that is farther from 0 always the greater number?

Answers

Answer:

a. Which number is greater? 1/4 or 5/4 -3/4 or 5/8:

answer: 5/4

b. Which number is farther from 0? 1/4 or 5/4 -3/4 or 5/8:

answer: 5/4

c. Is the number that is farther from 0 always the greater number?:

answer: nah really.

A number can be further from zero but when it's a negative or positive. But negative value is less than zero.

[tex] {}^{ - } \infin \leqslant 0 \leqslant {}^{ + } \infin[/tex]

(a) answer is 5/4

(b) answer is 5/4

(c) No , when dealing with negative numbers , the number closer to zero is the bigger number . zero has the unique distinction of being neither positive nor negative . zero separates the positive number from the negative ones .

hope this will help you

mrk above ans braniliest

In a clinical trial of a certain​ drug, 17 subjects experience headaches among the 221 subjects treated with the drug. Construct a ​95% ​(Wald) confidence interval estimate for the proportion of treated subjects who experience​ headaches.

a. Find the best point estimate of the population proportion.
b. Identify the value of the margin of error E.
c. Construct the confidence interval.
d. write a statement that correctly interprets the confidence interval.

Answers

Solution :

Given :

n = 221

x = 17

a). [tex]$p=\frac{17}{221}$[/tex]

       = 0.076

b). At the 95 confidence interval

   Value of z = 1.96

  Margin of error

    [tex]$=1.96 \times \sqrt{\frac{p(1-p)}{n}}$[/tex]

    [tex]$=1.96 \times \sqrt{\frac{0.076(1-0.076)}{221}}$[/tex]

   [tex]$=1.96 \times \sqrt{\frac{0.076\times 0.924 }{221}}$[/tex]

   = 1.96 x 0.017

   = 0.03332

c). confidence interval

   = ( 0.076-0.033,  0.076+0.033)

   = ( 0.043, 0.109 )

d). The confidence interval does not contain null value, so it is significant.

   

 

Help meee I’ll give 10 pts and brainliest!!!

Answers

Step-by-step explanation:

i) [tex]\overline{AB} = \sqrt{(x_A - x_B)^2 + (y_A - y_B)^2}[/tex]

[tex]\:\:\:\:\:\:\:=\sqrt{(2)^2 + (12)^2} = 12.3[/tex]

ii) [tex]m = \dfrac{y_A - y_B}{x_A - x_B} = \dfrac{-12}{2} = -6[/tex]

iii) [tex](\overline{x},\:\overline{y}) = \left(\dfrac{x_A + x_B}{2},\:\dfrac{y_A + y_B}{2}\right)[/tex]

[tex]\:\:\:\:\:\:\:=(3,\:-2)[/tex]

Need the help thanks guys

Answers

Answer:

x=−5+√29 or x=−5−√29

Step

Let's solve your equation step-by-step.

x2+10x+10=14

Step 1: Subtract 14 from both sides.

x2+10x+10−14=14−14

x2+10x−4=0

For this equation: a=1, b=10, c=-4

1x2+10x+−4=0

Step 2: Use quadratic formula with a=1, b=10, c=-4.

x=

−b±√b2−4ac

2a

x=

−(10)±√(10)2−4(1)(−4)

2(1)

x=

−10±√116

2

x=−5+√29 or x=−5−√29

Please Help! I will give you the brainiest and a lot of points!

a.Use the information given by the graph to determine the truth value of the compound statement. Choose the correct answer below.

b. Write the compound​ statement's negation. Choose the correct answer below

c. Use the information in the graph to determine the truth value of the negation in part​ (b). (Is it True or False?)

Answers

Answer: TRUE

Step-by-step explanation: THE COMPOUD STATE MEN DETERMEND BY HE GRAPH IS THE SOLUTION AS SAID BY YOU IT IS TRUE BECAUSE THE READINGS ON THE GRAPH SHOW ITS TRUE

Verizon charges a $40 sign-up fee and the $60 a month for their new hotspot. T-Mobile
charges $100 sign-up fee and then $45 per month for their new hotspot. After how many
months of service will the two company's fees be the same?

Answers

Step-by-step explanation:

Start Unlimited: 

$70 for one line

$60 for two lines

$45 for three lines

$35 for four lines

Play More Unlimited: 

$80 for one line

$70 for two lines

$55 for three lines

$45 for four lines

Do More Unlimited: 

$80 for one line

$70 for two lines

$55 for three lines

$45 for four lines

Get More Unlimited: 

$90 for one line

$80 for two lines

$65 for three lines

$55 for four lines

Answer:

4 months

As we show that ;

40 + (60x * 4)  = 280

100 + (45x * 4) = 280

but in simultaneous equations Verizon must be set equal to 240 being 80 x 3

and T mobile must be equal to 45 x 4 = 180

so that 240+ 180 = 420 to find 4

This would be a method on distribution as "60 sign up is 1/3 more than 1st equation.

Step-by-step explanation:

This is a simultaneous equation but trial and error is below to prove all is true.

step 1 make all equations same

40s + (60x)      * 3 = 180x  LCM   = 80 x 3   =  1   1/3 of 60

100s + (45x)     * 4 = 180x LCM   = 45  x 4   =  1 of 45 as verizon charges 1/3 more sign up.

100s- 40s + 180x = (180x) =  240 + 180

60s + 180x = 420

s = 60

so our equations must each end with 420

when we get 60s + 180x = 420  then

420 - 180 = 240

240/60 =  4

x = 4 months

Verizon = 1st and T mobile = 2nd

40 + (60x * 5)  = 340

100 + 45x * 5 = 325

with $15 out after 5 months so we try 6 months

40 + (60x * 6)  = 400

100 + 45x * 6 = 370

and see this is increasing in difference, so try a smaller value of months..

We try 4 months;

40 + (60x * 4)  = 280

100 + (45x * 4) = 280


How many times greater is
3.8 X 10^5 than
1.9 X 10^2
2
20
200
2000

Answers

Answer:

2 * 10^3 = 2000.

Step-by-step explanation:

3.8/1.9 * 10^5/10^2

= 2 * 10^3

2000 is the answer

1.9 x 10^2= 190
3.8 x 10^5= 380000

Answers:
x2= 380
x20= 3800
x200= 38000
x2000= 380000

Correct Answer: 2000

find the probability of being dealt 5 cards from a standard 52 card deck, and the cards are 6,7,8,9, and 10, all of the same suit. What is the probability of being dealt this hand is

Answers

Answer: 20/52 x 4/51 x 3/50 x 2/49 x 1/48 = .00000153908

Step-by-step explanation:

The probability of being dealt 5 cards from a standard 52 card deck, and the cards are 6,7,8,9, and 10 of the same suit is 0.00000153908

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

The value of probability lies between 0 and 1

Given data ,

Let the number of cards in deck be = 52 cards

Total number of cards selected = 5

The number of ways of choosing 5 cards = ⁵²C₅

The cards selected are of the same suit

So , there are 4 ways to select them , Hearts , Clubs , Spades and Diamonds = ⁴C₁

And there is only one way to select the cards 6 , 7 , 8 , 9 , 10 = 1

Now , we use combination to select the cards in a deck,

So,

The probability of being dealt 5 cards from a standard 52 card deck, and the cards are 6,7,8,9, and 10, all of the same suit is calculated by,

P ( x ) = 1 / ⁵²C₅ x ⁴C₁ x 1

P ( x ) = 1 /  52! / ( 47! x 5! )  x  4! / 3!  x  1

P ( x ) = 1 / ( 52 x 51 x 50 x 49 x 48 ) / ( 2 x 3 x 4 x 5 ) x 4

P ( x ) = 1 / ( 2598966 ) x 4

P ( x ) = 4 / 2598966

P ( x ) = 0.00000153908

Hence , The probability of being dealt 5 cards from a standard 52 card deck, and the cards are 6,7,8,9, and 10 of the same suit is 0.00000153908

To learn more about probability click :

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write down the length of the diameter of the circle​

Answers

Answer:

Diameter = 2 × Radius

Step-by-step explanation:

Answer:

Step-by-step explanation:

The diameter of a circle is the length of the line through the center and touching two points on its edge. In the figure above, drag the orange dots around and see that the diameter never changes. The diameter is also a chord.

Pls if anyone knows the answer that will be greatly appreciated :)

Answers

Answer:

For octagon =1080.......

Explanation:

180(8-2)

180×6

1080°

State if the scenario involves a permutation or a combination. Then find the number of possibilities.

The batting order for nine players on a 12 person team.

Permutation/Combination:


Answer:

Answers

Step-by-step explanation:

combination

is answer of this question

Other Questions
William adds two values , following the rules for using significant figures in computations. He should write the sum of these two number by using Goal displacement is A. the tendency for workers in a bureaucracy to become so specialized that they develop blind spots and fail to notice obvious problems. B. a principle of organizational life according to which each individual within a hierarchy tends to rise to his or her level of incompetence. C. overzealous conformity to official regulations within a bureaucracy. D. the process by which a group, organization, or social movement becomes increasingly bureaucratic. The gravity model offers a logical explanation for the fact that :________A) trade between Asia and the U.S. has grown faster than NAFTA trade. B) trade in services has grown faster than trade in goods. C) trade in manufactures has grown faster than in agricultural products. D) Intra-European Union trade exceeds international trade by the European Union. E) the U.S. trades more with Western Europe than it does with Canada. Drag the tiles to the boxes to form correct pairs.Match the nations and their colonies. Which of the following factors contributed to the rapid urbanization of the late nineteenth century?Increasing factory businesses created many more job opportunities in cities.Mass transit systems allowed people to commute to work from further distances.People began to flock from rural, farm areas, and from overseas in search of factory work.All of these answers. How was the country of Isreal created?A. Through military action by the united statesB. Through decolonization efforts by FranceC. By vote of the United Nations D. By the influence of the Soviet Union Synaptic facilitation, a form of short-term plasticity, is primarily due to ______________. A. insertion of AMPA receptors into the post-synaptic membrane B. depletion of the releasable pool of vesicles C. prolonged elevation of presynaptic calcium levels following synaptic activity D. changes in Na channels located on the post-synaptic membrane MULTIPLE CHOICE QUESTIONSubstances that would be described as an Element (such as Argon gas Ar,fluorine gas F2, pure metal like gold Au ) have an oxidation state of whatnumber?mentary23 -11O The mode of 3 numbers is 6 and therange is 4. Write down a possible set ofnumbers. What is the Integrating Life Dimension of Success? Help on this math question please what is photography?? Determine the measure of segment QV What is the range of the function on the graph? A book rest on a table which it's face having a sides 30cm by 25cm . if it exerts apressure of 200pa then determine the mass of the block. Drag each label to the correct location on the image.Identify whether each element of an argumentative text belongs in the introduction, body paragraphs, or conclusionrestated claimcounter claimcommentarybrief summary of main pointscontext for argumentevidenceclaimIntroductionBody Help if possible pls Read the passage below and answer the question.Main sentence: Society is a joint-stock companyFull passage: Society is a joint-stock company, in which the members agree, for the better securing of his bread to each shareholder, to surrender the liberty and culture of the eater.What figure of speech is this sentence?A) allegoryB) metaphorC) personificationD) simile A year in the modern Gregorian Calendar consists of 365 days. In reality, the earth takes longer to rotate around the sun. To account for the difference in time, every 4 years, a leap year takes place. A leap year is when a year has 366 days: An extra day, February 29th. The requirements for a given year to be a leap year are:1) If the year is evenly divisible by 4, go to step 2. Otherwise, go to step 5.2) If the year is evenly divisible by 100, go to step 3. Otherwise, go to step 4.3) If the year is evenly divisible by 400, go to step 4. Otherwise, go to step 5.4) The year is a leap year (it has 366 days).5) The year is not a leap year (it has 365 days).Some example leap years are 1600, 1712, and 2016.Write a program that takes in a year and determines whether that year is a leap year. Which statement best completes the diagram?