Answer:
36
Step-by-step explanation:
Given
x² + 12x = 11
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(6)x + 36 = 11 + 36
(x + 6)² = 47
The answer to the problem is as follows:
Let the width of frame be x '
( 4 +2x ) ( 3+2x) = 14
12 + 6x +8x +4x^2 = 14
4x^2 +14x -2 = 0
<span>ANSWER is A)
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I am unable to draw a box and whisker plot but I did come up with the following information:
MEAN: 17.1
MEDIAN: 16.5
MODE: 16, 17
UPPER OR 3RD QUARTILLE: 18
LOWER OR 1ST QUARTILLE: 15
RANGE: 10
Answer:
There is no sufficient evidence to suggest that the relaxation exercise slowed the brain waves
Step-by-step explanation:
Given that in a experiment on relaxation techniques, subject's brain signals were measured before and after the relaxation exercises with the following results:
The population is normally distributed
This is a paired t test since sample size is very small and same population under two different conditions studied.

(Right tailed test)
Alpha = 5%
x y Diff
32 26 6
38 36 2
66 59 7
49 52 -3
29 24 5
Mean 3.4
Std dev 4.037325848
Mean difference = 
n =5
Std deviation for difference = 
Test statistic t = mean difference / std dev for difference
= 
p value =0.132
Since p >0.05 we accept null hypothesis.
There is no sufficient evidence to suggest that the relaxation exercise slowed the brain waves