Consider this population data set:4, 6, 7, 11, 12, 18, 26, 23, 14, 31, 22, and 12. The values 11, 31, 22, and 12 constitute a ra
irga5000 [103]
Answer:
3.5
Step-by-step explanation:
Find the Mean of the Population Data Set
4 + 6 + 7 + 11 + 12 + 18 + 26 + 23 + 14 + 31 + 22 + 12 = 186
186 ÷ 12 = 15.5
Find the Mean of the Sample Data Set
11 + 31 + 22 + 12 = 76
76 ÷ 4 = 19
Subtract
19 - 15.5 = 3.5
Answer: <em>The sample mean is more than the population mean by 3.5</em>
Answer: 1.48
Step-by-step explanation:
Part I)
The module of vector AB is given by:
lABl = root ((- 3) ^ 2 + (4) ^ 2)
lABl = root (9 + 16)
lABl = root (25)
lABl = 5
Part (ii)
The module of the EF vector is given by:
lEFl = root ((5) ^ 2 + (e) ^ 2)
We have to:
lEFl = 3lABl
Thus:
root ((5) ^ 2 + (e) ^ 2) = 3 * (5)
root ((5) ^ 2 + (e) ^ 2) = 15
Clearing e have:
(5) ^ 2 + (e) ^ 2 = 15 ^ 2
(e) ^ 2 = 15 ^ 2 - 5 ^ 2
e = root (200)
e = root (2 * 100)
e = 10 * root (2)
Answer:
x < -5
Step-by-step explanation:
Distribute 4 to x and 10: 4x + 40 < 20
Subtract 40 from both sides: 4x < -20
Divide by 4: x < -5
Answer:
125 is the value of the question
