Answer:
x = -3+√5, -3-√5 (exact roots)
or x = -0.76, -5.24 to the nearest hundredth.
Step-by-step explanation:
x² + 6x = - 4
Completing the square:
(x + 3)^2 - 9 = -4
(x + 3)^2 = 5
x + 3 = +/-√5
x = - 3 + √5, - 3 - √5
Answer:
H0 : μd = 0
H1 : μd ≠ 0
Test statistic = 0.6687 ;
Pvalue = 0.7482 ;
Fail to reject H0.
Step-by-step explanation:
H0 : μd = 0
H1 : μd ≠ 0
Given the data:
Before: 15 26 66 115 62 64
After: 16 24 42 80 78 73
Difference = -1 2 24 35 -18 -9
Mean difference, d ; Σd / n
d = Σx / n = ((-1) + 2 + 24 + 35 + (-18) + (-9))
d = Σx / n = 33 / 6 = 5.5
Test statistic = (d / std / sqrt(n))
std = sample standard deviation = 20.146
Test statistic = 5.5 ÷ (20.146/sqrt(6))
Test statistic = 0.6687
The Pvalue :
P(Z < 0.6687) = 0.7482
At α = 0.05
Pvalue > α ; Hence we fail to reject H0
The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs.
Answer:
B
Step-by-step explanation:
Answer:
y = -16
Step-by-step explanation:
y = -3(12) + 20
y = -36 + 20
y = -16
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Answer:
11
Step-by-step explanation:
Making the appropriate substitutions, we get
3/7 r + 5/8 s => 3/7 (14) + 5/8 (8).
Notice how this can reduced:
3(14) 5(8)
----------- + --------- = 6 + 5 = 11
7 8
