Pren recorded this data set, which contains an outlier. 204, 216, 111, 224, 230, 211, 210, 198, 200, 218 what numbers represent the range, lower quartile, and upper quartiles? a. range: 210.5 lower quartile: 200 upper quartile: 218 b. range: 14 lower quartile: 111 upper quartile: 198 c. range: 119 lower quartile: 218 upper quartile: 200 d. range: 119 lower quartile: 200 upper quartile: 218

The correct option is D.

Step-by-step explanation:

The given data is

204, 216, 111, 224, 230, 211, 210, 198, 200, 218

Arrange the data in ascending order,

111, 198, 200, 204, 210, 211, 216, 218, 224, 230

The range is the difference between maximum value and minimum value.

Divide the data it two equal parts.

(111, 198, 200, 204, 210), (211, 216, 218, 224, 230)

Now divide the each in two equal parts.

(111, 198), 200, (204, 210), (211, 216), 218, (224, 230)

The mid value of first part is 200 and the mid value of second part is 218.

Therefore option D is correct.

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!

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