The mean value of land and buildings per acre from a sample of farms is ​$1200​, with a standard deviation of ​$100. The data set has a​ bell-shaped distribution. Using the empirical​ rule, determine which of the following​ farms, whose land and building values per acre are​ given, are unusual​ (more than two standard deviations from the​ mean). Are any of the data values very unusual​ (more than three standard deviations from the​ mean)? ​$1064 ​$1417 ​$1373 ​$856 ​$1250 ​$1102

Answers

Answer 1

Answer:

The empirical rule states that for a bell-shaped distribution, approximately 68% of the data values will fall within one standard deviation of the mean, 95% of the data values will fall within two standard deviations of the mean, and 99.7% of the data values will fall within three standard deviations of the mean.

Using this information, we can calculate the range of values that fall within two standard deviations of the mean for the given data set:

Mean: $1200

Standard deviation: $100

Two standard deviations: $200

Therefore, the range of values that fall within two standard deviations of the mean is $1200 - $200 = $1000 to $1200 + $200 = $1400.

With this information, we can determine which of the given data values are unusual (more than two standard deviations from the mean):

$1064 is within two standard deviations of the mean.

$1417 is outside of two standard deviations of the mean.

$1373 is within two standard deviations of the mean.

$856 is outside of two standard deviations of the mean.

$1250 is within two standard deviations of the mean.

$1102 is within two standard deviations of the mean.

Therefore, the data values $1417 and $856 are unusual (more than two standard deviations from the mean).

We can also determine which of the given data values are very unusual (more than three standard deviations from the mean) using the same process. The range of values that fall within three standard deviations of the mean is $1000 to $1600. With this information, we can see that none of the given data values are very unusual (more than three standard deviations from the mean).


Related Questions

Determine the minimum sample size required when you want to be99 ​% confident that the sample mean is within one unit of the population mean and o=14.8 . Assume the population is normally distributed.
A confidence level 99%
requires a sample size of

Answers

This is the answer down here

. A certain rectangular prism is
4 inches long, 2 inches wide, and
3 inches high. Sketch the figure
and find its volume.

Answers

Volume = w * h * l
w = 2, h = 3, l = 4
2 * 3 * 4 = 24
Solution: 24 in^3

what is 4649+3383473

Answers

Answer:

3388122

Step-by-step explanation:

Answer:

3388122

Step-by-step explanation:

just add them together or use a calculator

To the nearest dollar, how much did the business initially invest in 1991
A. $4,637
B. $4,631
C. $3,450
D. $3,455

Answers

Answer:

I think the answer is B

Step-by-step explanation:

graph the circle which is centered at (-1 -3) and which has the point (-7 -3) on it

Answers

Answer and Step-by-step explanation:

The answer is in the attached photo.

The center is at (-1, -3), and it will have a point on (-7, -3)

#teamtrees #PAW (Plant And Water)

A class sets up 40 chairs. There 8 chairs in each row. How many rows of chairs are there?

Answers

Answer:

5 chairs

Step-by-step explanation:

because 40 divided by 8 is 5

Answer:

there are 5 rows

Step-by-step explanation:

i get a 25% discount (means decrease) at macys store. if i find a dress i like for $80, how much will i have to pay for it?​

Answers

Answer:

you will pay $60

Step-by-step explanation:

25% (1/4) of 80 is 20

subtract 20 from the total (80)

80 - 20 = 60

$60

Answer:

60

Step-by-step explanation:

So if you get 25% off, you're basically paying 75%.

So first, convert the percentage to a decimal:

75% = 75/100 = 0.75

Now just multiply the decimal by the total cost:

80$ (0.75) = $60

Write 186% as a mixed number in simplest form

Answers

Answer:

Step-by-step explanation:

Kwowvskdjshsns

1. What is the solution of n^2-49=0?
a. -7
b.7
c.≠7
d. no solution

2. What is the solution of x^2+64=0?
a.-5
b.8
c.≠8
d.no solution

3. What is the length of a square with an area of 144x^2
a.12
b.12x
c.≠4in
d.no solution

4. What is the value of b in the triangle?
a.-4in
b.4in
c.≠4in
d.no solution

5. What is the value of z so that -9 and 9 are both solutions of x^2+z=103

Answers

Answer:

1. a2. b3. b4. b5. 22

Explanation:

1.

n²-49=0

n=√49

n=7

2.

x²+64=0

x=√64

x=8

3.

if A=144x²

l = √A

l = √(144x²)

l = 12x

4.

b = (24×2)/3b

b = 48/3b

b = 16/b

b² = 16

b = √16

b = 4 in (-4 is correct in algebra but there's no negative lengths in geometric shapes)

5.

x²+z = 103

x² = 103-z

x = √(103-z)

for x = -9 and 9    (103-z) must equal 81

z = 103 - 81 = 22

x = √(103-22)

x = √81

x = -9 , 9

Please help .. would be appreciated

Answers

Answer:

x = 30

Step-by-step explanation:

[tex] \triangle JLK\sim\triangle PQR[/tex] (given)

[tex] \therefore \frac{JL}{PQ}=\frac{LK}{QR} [/tex]

(corresponding sides of similar triangles)

[tex] \therefore \frac{20}{x}=\frac{22}{33} [/tex]

[tex] \therefore \frac{20}{x}=\frac{2}{3} [/tex]

[tex] \therefore x=\frac{20\times 3}{2} [/tex]

[tex] \therefore x=\frac{60}{2} [/tex]

[tex] \therefore x=30 [/tex]

Or using scale factor:

Scale factor = 33/22 = 3/2

x = 20*3/2

x = 10*3

x = 30

A full bottle holds 1/4gallon of juice, If of3/5
the juice has beenpored how much
juice is left in the bottle?

Answers

Answer:

1/10 gallon

Step-by-step explanation:

2/5 left of 1/4 gallon

2/5 x 1/4 = 2/20 = 1/10 gallon

What two numbers add up to 4 and multiply to -60

Answers

Answer:

10 + -6

Step-by-step explanation:

add them up to 4 and multiply to -60

Check the pic please
I also want the steps pleaseee

Answers

Answer:

E) 5.4m

Step-by-step explanation:

ratio of triangle FGH : triangle JKL => 2.1 : 1.4

perimeter of triangle FGH = x

2.1 : 1.4 = x : 3.6

=> 1.4x = 2.1 × 3.6

=> x = 2.1 × 3.6 ÷ 1.4 = 5.4

please answer the attached question.

Answers

Answer : fx + fh - f(x) / h

if a number × is increased by 11,the result is 35.What is the number?​

Answers

Answer:

24

Step-by-step explanation:

Equation: x + 11 = 35

1. Subtract 11 from both sides

x + 11 = 35

  -11      -11

x = 24

Answer:

x is 24

Step-by-step explanation:

Let's write it down as an equation

If number x is increased by 11, we'll write is as x+11 and the result of that is 35, so x + 11 = 35

x + 11 = 35 implies that

x = 35 - 11

35 - 11 = 24

x = 24

I need help with this math assignment ASAP

Answers

Answer:

A. 125 because 35+90=125

Step-by-step explanation:

What is 6 +0.2 + 0.09 written in standard form? A 0.629 B 6.029 C 6.209 D 6.29

Answers

Answer:

D

Step-by-step explanation:

The answer is D. 6 is the whole number with no decimal after it so it goes before the decimal. Then we add the numbers after the decimal. 0.2 is the same as 0.20 so we add 0.20 plus 0.09 which gets us 0.29. Lastly, we add this all together and get a total of 6.29. Hope this helps!

Answer:

d

Step-by-step explanation:

Emma's dad and her Uncle Pete are trying to recreate their dad's famous dipping sauce for an upcoming family reunion. They remember thinking the sauce was too spicy when they were kids, but they can't remember exactly how much spicy chipotle sauce and tangy mayonnaise to mix now. Emma's dad uses 8 tablespoons of chipotle sauce and 12 tablespoons of mayonnaise. Uncle Pete uses 6 tablespoons of chipotle sauce and 10 tablespoons of mayonnaise. Who makes a spicier sauce?

NO LINKS PLEASE!!!!!!!

Answers

Step-by-step explanation:

the ratio is a comparison of two numbers that have the same unit so...

the answer is Emma's dad makes a spicy sauce

Answer:

Step-by-step explanation:

emmas dad becuase if it was the same pete would have to add 6.667 tsp to make it eqeal so emmas  dad makes the spicer one

1. Determine P(green) and P(orange for the spinner. Write the probabilities as fractions, decimals and percents.

Answers

Answer:

A) P(Green) = 1/8, 0.125, 0r 12.5%

P(Orange) = 1/2, 0.5, or 50%

B) P(Not Yellow) = 3/4, 0.75, or 75%

Step-by-step explanation:

A) P(Green) = 1/8, 0.125, 0r 12.5%

P(Orange) = 1/2, 0.5, or 50%

B) P(Not Yellow) = 3/4, 0.75, or 75%

Solve each equation.

4) x2+21=102 5) x2-6=-2
6) 80= x2-64x3+25=150 8) x2-14=155 9) x3+5=221
BRAINLIEST

Answers

Just use mathpapa.com it’ll give you all them answers

200000*900000= what HELP PLEASE
I'll mark brainliest

Answers

Answer:

Step-by-step explanation:

1.8E11 is the correct answer

Answer:

200000*900000= 180000000000

Step-by-step explanation:

:))

This net could be folded to form a This figure will have v faces vertices. edges, and a​

Answers

Answer: The figure is a rectangular pyramid. It has 5 faces, 4 edges, & 5 vertices.

Hope it helps.

The net can be folded into a rectangular pyramid with 4 edges, 5 faces, and 5 vertices.

What are rectangular pyramids?

Pyramids are three-dimensional structures having triangle faces and have an encompassing polygon shape at its base. If the base of a pyramid is rectangular, then it is called a rectangular pyramid.

If we join the open ends of the triangles on top, we will get a rectangular pyramid.

To learn more about rectangular pyramids: https://brainly.com/question/21334693

#SPJ2

To get ready for the new season Jayden bought new basketball sneakers. Jayden paid $96.12 after paying the 8% tax. How much were the sneakers before including the tax?
Show your work here:

Answers

You would take the amount of increase and divide it by the amount of total cost over the time period of certain months. Then you would multiply that number by the percentage of increase gained, and subtract 96.12 to get your answer.

What is the value (Shown in the picture) of f(81)?

Answers

The value is 81 i used my Desmos calculator

One day last summer, Tommy decided to take a drive into the countryside.

After a few hours' drive he arrived at a farm stand. Tommy was so excited by the sight of all those fresh fruits and veggies, that he tripped getting out of his MG and knocked over a huge basket of eggs. And of course they all broke!

He asked the farmer how many eggs were in the basket because he obviously wanted to compensate her for them. She said she didn't know exactly.

"But I do know,' she said, "that this morning I decided the eggs would be easier to sell if they weren't in a big basket but if they were in little paper bags.

"So when I took all my eggs and placed two in each bag I had one left over. I didn't like that so I took the eggs and I put three in each bag. And when I did that, I also had one left over.
"When I put four in each bag, I had one left over. When I put five in a bag or six in a bag, I had one left over. And when I put seven in a bag, I had none left over."


So here's the question: what's the smallest number of eggs that Tommy should have to pay for?

Answers

9514 1404 393

Answer:

  301

Step-by-step explanation:

In order for the remainder to be 1 when the number is divided by 2, 3, 4, 5, or 6, it must be 1 more than a common multiple of those numbers. The least common multiple is ...

  3·4·5 = 60

So, we want a number that is 1 more than a multiple of 60 and is divisible by 7. This gives us the Diophantine equation ...

  7m -60n = 1 . . . . . where m and n are integers

Perhaps the easiest way to solve this is to try values of n between 0 and 6. We find that n=5 and m=43 will be the smallest positive value of m that satisfies this equation. This makes the number of eggs be 7×43 = 301.

Tommy should have to pay for 301 eggs.

I need help with slopes!

Answers

Answer:

the answer is 1/-4 rise over run my friend

Amir can run 15 kilometers in one hour. How many kilometers can Amir run per minute? There are 60 minutes in 1 hour.

Answers

The answer is .25 kilometers a minute.

This is because [tex]speed = \frac{distance}{time}[/tex] so you need substitute then divide to find the answer

You can check this answer by doing 15÷60 which comes out to .25 km a minute.

Answer:0.25m per minute

Step-by-step explanation:

You divided the 15 by the 60 since 15 is the km and 60 minutes and you want to know how far can she run in minutes

Hope this helped :)

Tell me if it’s wrong :]

6C + 47M=893.50
25C + 22M=527.86

Answers

Answer:

C = 4.94   M = 18.38

Step-by-step explanation:

the easiest way is to graph both equaitons and see where they intersect,

see the image

or solve by substitution

6C + 47M=893.50           C = (893.50 - 47M)/6

25C + 22M=527.86

25((893.50 - 47M)/6)  + 22M = 527.86

25/6 [(893.50) - 47M] + 22M = 527.86

25/6 [ - 47M] + 22M = 527.86 - 25/6 [(893.50)

22M - 25(47M)/6  = -3195.06

22M - 195.83M  = -3195.06

      -173.83M   =   -3195.06

                 M  =  18.38

C = (893.50 - 47(18.38)/6

C = 4.94

Triangle ABC is similar to triangle DEF. how long is EF?
A) 4
B) 10
C) 14
D) 12

Answers

Answer:

The answer is D) 12

Step-by-step explanation:

Multiple 4 by 3

Identify the coordinates for point C Type your answer in the form (#.#), without spaces.​

Answers

Answer:

(0,2) :)

Step-by-step explanation:

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