What is the mode of the data set 7, 8, 2, 3, 9, 3, 7. A: 2 B: 9 C: 3 and 7 D: 3
1 answer:
Step-by-step explanation:
✰
- 7 , 8 , 2 , 3 , 9 , 3 , 7
Here ,
- Frequency of 7 = 2
- Frequency of 8 = 1
- Frequency of 2 = 1
- Frequency of 3 = 2
- Frequency of 9 = 2
➺ 7 and 3 has the highest frequency i.e 2. So , Mode of the given data is 3 & 7 .
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Answer:
see explanation
Step-by-step explanation:
(1)
Given
3(x + 3)² - 1 = - 13 ( add 1 to both sides )
3(x + 3)² = - 12 ( divide both sides by 3 )
(x + 3)² = - 4 ( take the square root of both sides )
x + 3 = ± = ± 2i ( subtract 3 from both sides )
x = - 3 ± 2i ← complex conjugate roots
(2)
Given
3x² - 12x + 27 = 0 ( subtract 27 from both sides )
3x² - 12x = - 27 ( divide through by 3 )
x² - 4x = - 9
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 2)x + 4 = - 9 + 4
(x - 2)² = - 5 ( take the square root of both sides )
x - 2 = ± = ± i
( add 2 to both sides )
x = 2 ± i ← complex conjugate roots