Answer:
2(3x + 7)(2x - 1)
Step-by-step explanation:
You can see it a little easier if you take out a common factor of 2
2(6x^2 + 11x - 7)
The 6 leaves you with a lot of factors, the 7 does not. It only has 2 factors.
Let 6 factor into 2 and 3 and the 7 into 7 and 1
2(3x - 1 )(2x + 7)
Now remove the brackets.
2(6x^2 + 21x - 2x - 7) This obviously does not work but we'll combine like terms anyway.
2(6x^2 + 19x - 7)
So we'll try it again
2(3x + 7)(2x - 1)
2(6x^2 + 14x - 3x - 7) Looks like we have it.
2(6x^2 + 11x - 7)
So the right factors are
2(3x + 7)(2x - 1)
Answer:
(D)
Step-by-step explanation:
The graph shows the arm span lengths of the students, clearly we can see that the most of the students have arm span length in the initial points of the length.
Median = Middle frequency of the data. Here, median will be the length in the middle.
Mode = Most frequently occurring number in the data. Here the mode will be the length which most of the students has.
Clearly, most of the student has the length in the initial inches while the median will be in the middle.
Hence, mode will be less than the median.
Answer:
C.I = 0.108 ± 0.022
Step-by-step explanation:
In this case, we are given a symmetric confidence interval, and the sample proportion p', is derived by finding the average of the two values.
Therefore, the sample proportion will be:


= 0.108
p' = 0.108
To find the margin of error, we have:
M.E = ½ * length of confidence interval
Where length of confidence interval = 0.130 - 0.086
= 0.044
Therefore,

Margin of error = 0.022
The confidence interval is expressed as:
p' ± M.E
= 0.108 ± 0.022
Answer: it’s C
Step-by-step explanation: