The mean value of land and buildings per acre from a sample of farms is $1300, 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)? $1625 $1776 $1585 $1110 $1486 $1673

Which of the farms are unusual( more than two standard deviations from the mean)? select all that apply

a 1585
b. 1625
c. 1486
d. 1776
e. 1110
f. 1673

1) The unusual values for ( more than two standard deviations from the mean)

a. 1585

b. 1625

d. 1776

f. 1673

2) Are any of the data values very unusual (more than three standard deviations from the mean)?

b. 1625

d. 1776

f. 1673

Step-by-step explanation:

The Empirical rule formula =

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

1) We are given the following values,

mean = $1300

standard deviation = $100.

We are given data values: $1625 $1776 $1585 $1110 $1486 $1673

We are to find which farms are unusual( more than two standard deviations from the mean)?

Two standard deviation from the mean is between μ – 2σ and μ + 2σ

μ – 2σ

$1300 - 2(100)

= $1300 - 200

= $1100

μ + 2σ

= $1300 + 2 × 100

=$ 1300 + 200

=$ 1500

The values that would be unusual are values that fall bellow 1100 and above 1500

The unusual values ( more than two standard deviations from the mean)?

a. 1585

b. 1625

d. 1776

f. 1673

2) Are any of the data values very unusual (more than three standard deviations from the mean)?

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

Thres standard deviation from the mean is between μ – 3σ and μ + 3σ

μ – 3σ

$1300 - 3(100)

= $1300 - 300

= $1000

μ + 3σ

= $1300 + 3 × 100

=$ 1300 + 300

=$ 1600

Therefore, the very unusual (more than three standard deviations from the mean)(data that is below 1000 and about 1600) :

b. 1625

d. 1776

f. 1673

e.

step-by-step explanation:

because there are always 10 numbers in a phone number.

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841